Rock paper scissors

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has six metastrategies which defeat second-guessing, triple-guessing, as well as second-guessing the opponent, and so on. The optimal strategy or metastrategy is chosen based on past performance. The main strategies it employs are history matching, frequency analysis, and random guessing. Its strongest strategy, history matching, searches for a sequence in the past that matches the last few moves in order to predict the next move of the algorithm. In frequency analysis, the program simply identifies the most frequently played move. The random guess is a fallback method that is used to prevent a devastating loss in the event that the other strategies fail. There have since been some innovations, such as using multiple history-matching schemes that each match a different aspect of the history – for example, the opponent's moves, the program's own moves, or a combination of both. There have also been other algorithms based on

2308:. The game is based on the classic children's game rock paper scissors (Jak-en-poy in Filipino, derived from the Japanese Jan-ken-pon) where four players are paired to compete in the three-round segment. In the first round, the first pair plays against each other until one player wins three times. The next pair then plays against each other in the second round. The winners from the first two rounds then compete against each other to finally determine the ultimate winner. The winner of the game then moves on to the final round. In the final round, the player is presented with several Dabarkads, each holding different amounts of cash prize. The player will then pick three Dabarkads who they will play rock paper scissors against. The player plays against them one at a time. If the player wins against any of the 3122:, which has some similarities to rock paper scissors, a brief correspondence began on the subject. One contributor described a game he had seen played in Mediterranean ports, called 'zot' or 'zhot', which was clearly identical with the modern Rock paper scissors": 'In this game the closed fist represents a stone, the open hand with fingers outstretched paper, and the closed fist with two fingers outstretched scissors...The players stand facing one another, and commence playing simultaneously by raising and lowering the right arm three times rapidly, coming to rest with the fist in any of the three above-mentioned positions. If you keep your fist closed and your opponent flings open his hand then you lose, as paper wraps up stones, and so on.' 1960: 1138: 1950:

neutral site agreeable to both parties. If counsel cannot agree on a neutral site, they shall meet on the front steps of the Sam M. Gibbons U.S. Courthouse, 801 North Florida Ave., Tampa, Florida 33602. Each lawyer shall be entitled to be accompanied by one paralegal who shall act as an attendant and witness. At that time and location, counsel shall engage in one (1) game of "rock, paper, scissors." The winner of this engagement shall be entitled to select the location for the 30(b)(6) deposition to be held somewhere in Hillsborough County during the period 11–12 July 2006.

605:(1917), which suggests that it was known in America at least that early. The first passage where it appears says "In order that no feelings might be involved in any way over which car we other girls traveled in, Nyoda, Solomon-like, proposed that she and Gladys play 'John Kempo' for us. (That isn't spelled right, but no matter.)" There is no explanation in any of the places where it is referenced of what the game actually is. This suggests that the author at least believed that the game was well known enough in America that her readers would understand the reference. 314: 305: 296: 2324: 55: 138:, it has three possible outcomes: a draw, a win, or a loss. A player who decides to play rock will beat another player who chooses scissors ("rock crushes scissors" or "breaks scissors" or sometimes "blunts scissors"), but will lose to one who has played paper ("paper covers rock"); a play of paper will lose to a play of scissors ("scissors cuts paper"). If both players choose the same shape, the game is tied and is usually replayed to break the tie. 780:). In a longer version of the game, a four-line song is sung, with hand gestures displayed at the end of each (or the final) line: "Jack-en-poy! / Hali-hali-hoy! / Sino'ng matalo, / siya'ng unggoy!" ("Jack-en-poy! / Hali-hali-hoy! / Whoever loses is the monkey!") In the former case, the person with the most wins at the end of the song, wins the game. A shorter version of the game uses the chant "Bato-bato-pick" ("Rock-rock-pick ") instead. 651: 5968: 643: 1475: 329:

extending their selected sign towards their opponent on what would have been the fourth count, often saying the word "shoot" while doing so. Variations include a version where players throw immediately on the third count (thus throwing on the count of "Scissors!"), a version including five counts rather than four ("Rock! Paper! Scissors! Says! Shoot!", almost exclusively localized in the United States to

910:) is unbalanced; both the stone and scissors fall in the well and lose to it, while paper covers both stone and well. This means two "weapons", well and paper, can defeat two moves, while the other two weapons each defeat only one of the other three choices. The stone has no advantage to well, so optimal strategy is to play each of the other objects (paper, scissors and well) one-third of the time. 2137: 674:

it is possible to determine if the opponent is about to throw "rock" based on their lack of hand movement, as both "scissors" and "paper" require the player to reposition their hand. This can likewise be used to deceive an anticipating opponent by keeping one's fist closed until the last possible moment, leading them to believe that one is about to throw "rock".

1912:, relations between "lifters, which had wedged sides and could use forklift-like prongs to flip pure wedges", "spinners, which were smooth, circular wedges with blades on their bottom side for disabling and breaking lifters", and "pure wedges, which could still flip spinners" are analogical to relations in rock paper scissors games and called "robot Darwinism". 752:" and thus the play continues until both players throw the same item (for example, rock and rock), at which point whoever was the last winner becomes the actual winner. In another popular two-handed variant, one player will shout "minus one" after the initial play. Each player removes one hand, and the winner is decided by the remaining hands in play. 176:. The legend that he played the game is apocryphal, as all evidence points to the game being brought to the United States later than 1910; if this name has anything to do with him it is for some other reason. It is unclear why this name became associated with the game, with hypotheses ranging from a slight phonetic similarity with the Japanese name 824:"). At the same time, the other player changes his hand gestures as well. If one of his hand gestures is the same as the other one, that hand is "out" and he puts it behind his back; he is no longer able to play that hand for the rest of the round. The players take turns in this fashion, until one player loses by having both hands sent "out". " 119:, usually played between two people, in which each player simultaneously forms one of three shapes with an outstretched hand. These shapes are "rock" (a closed fist), "paper" (a flat hand), and "scissors" (a fist with the index finger and middle finger extended, forming a V). The earliest form of "rock paper scissors"-style game originated in 1490:. The most representative game of these 4 is "rock, paper, scissors, fire, water". Rock beats scissors, paper beats rock, scissors beats paper, fire beats everything except water, and water is beaten by everything except it beats fire. The perfect game-theoretic strategy is to use rock, paper, and scissors 1166:, while "lizard" is shown by forming the hand into a sock-puppet-like mouth. Spock smashes scissors and vaporizes rock; he is poisoned by lizard and disproved by paper. Lizard poisons Spock and eats paper; it is crushed by rock and decapitated by scissors. This variant was mentioned in a 2005 article in 1949:

that the parties have been unable to untangle without enlisting the assistance of the federal courts – it is ORDERED that said Motion is DENIED. Instead, the Court will fashion a new form of alternative dispute resolution, to wit: at 4:00 P.M. on Friday, June 30, 2006, counsel shall convene at a

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A multiple player variation can be played: Players stand in a circle and all throw at once. If rock, paper, and scissors are all thrown, it is a stalemate, and they rethrow. If only two throws are present, all players with the losing throw are eliminated. Play continues until only the winner remains.

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The "rock" move, in particular, is notable in that it is typically represented by a closed fist—often identical to the fist made by players during the initial countdown. If a player is attempting to beat their opponent based on quickly reading their hand gesture as the players are making their moves,

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The World Rock Paper Scissors Society hosted Professional Rock Paper Scissors Tournaments from 2002 to 2009. These open, competitive championships were widely attended by players from around the world and attracted widespread international media attention. WRPS events were noted for their large cash

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Holdings, seeking their proposals on how they would bring the collection to the market as well as how they would maximize the profits from the sale. Both firms made elaborate proposals, but neither was persuasive enough to earn Hashiyama's approval. Unwilling to split up the collection into separate

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The players may start by counting to three aloud, or by speaking the name of the game (e.g. "Rock! Paper! Scissors!"), raising one hand in a fist and swinging it down with each syllable onto their other hand (or in a less common variant, holding it behind their back). They then "throw" or "shoot" by

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In the Malaysian version of the game, "scissors" is replaced by "bird", represented with the finger tips of five fingers brought together to form a beak. The open palm represents "water". Bird beats water (by drinking it); stone beats bird (by hitting it); and stone loses to water (because it sinks

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Using the same tripartite division, there is a full-body variation in lieu of the hand signs called "Bear, Hunter, Ninja". In this iteration the participants stand back-to-back and at the count of three (or ro-sham-bo as is traditional) turn around facing each other using their arms evoking one of

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As a consequence of rock paper scissors programming contests, many strong algorithms have emerged. For example, Iocaine Powder, which won the First International RoShamBo Programming Competition in 1999, uses a heuristically designed compilation of strategies. For each strategy it employs, it also

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uses the rock, paper, and scissors signs and is the direct source of the modern version of rock paper scissors. Hand-games using gestures to represent the three conflicting elements of rock, paper, and scissors have been most common since the modern version of the game was created in the late 19th

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the "frog" (represented by the thumb) triumphs over the "slug" (represented by the little finger), which, in turn prevails over the "snake" (represented by the index finger), which triumphs over the "frog". (The Chinese and Japanese versions differ in the animals represented; in adopting the game,

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In many games, it is common for a group of possible choices to interact in a rock paper scissors style, where each selection is strong against a particular choice, but weak against another. Such mechanics can make a game somewhat self-balancing, prevent gameplay from being overwhelmed by a single

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Variants in which the number of moves is an odd number and each move defeats exactly half of the other moves while being defeated by the other half are typically considered. Variations with up to 101 different moves have been published. Adding new gestures has the effect of reducing the odds of a

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By the early 20th century, rock paper scissors had spread beyond East Asia, especially through increased Japanese contact with the west. Its English-language name is therefore taken from a translation of the names of the three Japanese hand-gestures for rock, paper and scissors; elsewhere in East

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During tournaments, players often prepare their sequence of three gestures prior to the tournament's commencement. Some tournament players employ tactics to confuse or trick the other player into making an illegal move, resulting in a loss. One such tactic is to shout the name of one move before

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The houses were unable to reach a decision. Hashiyama told the two firms to play rock paper scissors to decide who would get the rights to the auction, explaining that "it probably looks strange to others, but I believe this is the best way to decide between two things which are equally good."

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and non-linear dynamics to bacteriology. Models of evolution demonstrate how intragenomic competition can lead to rock paper scissors dynamics from a relatively general evolutionary model. The general nature of this basic non-transitive model is widely applied in theoretical biology to explore

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as a hand game, possibly of Mediterranean origin, called "zhot". A reader then wrote in to say that the game "zhot" referred to was evidently Jan-ken-pon, which she had often seen played throughout Japan. Although at this date the game appears to have been new enough to British readers to need

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The auction houses had a weekend to come up with a choice of move. Christie's went to the 11-year-old twin daughters of the international director of Christie's Impressionist and Modern Art Department Nicholas Maclean, who suggested "scissors" because "Everybody expects you to choose 'rock'."

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compete with each other in the intestines of mice, and that the rock paper scissors dynamics allowed for the continued competition among strains: antibiotic-producers defeat antibiotic-sensitives; antibiotic-resisters multiply and withstand and out-compete the antibiotic-producers, letting

662:. However, it is possible to gain a significant advantage over a non-random player by predicting their move, which can be done by exploiting psychological effects or by analyzing statistical patterns of their past behavior. As a result, there have been programming competitions for 2831: 633:

described it as a common method of settling disputes between children in its article on Japan; the name was given as "John Kem Po" and the article pointedly asserted, "This is such a good way of deciding an argument that American boys and girls might like to practice it too."

219:, it is known as "rock, paper, scissors" or "scissors, paper, stone". If this name is chanted while actually playing the game, it might be followed by an exclamation of "shoot" at the moment when the players are to reveal their choice (i.e. "Rock, paper, scissors, shoot!"). 879:

represent the symbols (weapons) choosable by the players, and an edge from A to B means that A defeats B. Each oriented graph is a potentially playable rock paper scissors game. According to theoretical calculations, the number of distinguishable (i.e. not

1853:) exhibits a rock paper scissors pattern in its mating strategies. Of its three throat color types of males, "orange beats blue, blue beats yellow, and yellow beats orange" in competition for females, which is similar to the rules of rock-paper-scissors. 2232:

The XtremeRPS National Competition is a US nationwide RPS competition with Preliminary Qualifying contests that started in January 2007 and ended in May 2008, followed by regional finals in June and July 2008. The national finals were to be held in

2181:. The 1st UK Championship took place on 13 July 2007, and were then held annually. The 2019 event was won by Ellie Mac, who went on to pick up the cash prize of £20,000 but was unable to double her earnings in 2020 due to the coronavirus outbreak. 2169:), with the winner being Lee Rammage, who went on to compete in at least one subsequent championship. The 2007 tournament was won by Andrea Farina. The last tournament hosted by the World RPS Society was in Toronto, Canada, on November 14, 2009. 2114:

series of strategy role-playing games, the Weapon Triangle and Trinity of Magic influence the hit and damage rates of weapon types based on whether they are at an advantage or a disadvantage in their respective rock paper scissors system. In the

5903: 226:, the most common name is "scissors, paper, rock" (the reverse of the American format). There have been claims that there are regional variations of the name in Australia; the video claimed that it was referred to as "scissors, paper, rock" in 725:

Players have developed numerous cultural and personal variations on the game, from simply playing the same game with different objects, to expanding into more weapons and rules, to giving their own name to the game in their national language.

2821: 855:, and the three signs are elephant (slightly raised thumb), human (outstreched index finger) and ant (outstreched pinky finger). Elephant is stronger than human, human is stronger than ant, but elephant is afraid of the ant. 2287:

won the Second Annual World Series of Rock Paper Scissors. The tournament is taped by ESPN and highlights are covered during "The Nuts" section of ESPN's annual WSOP broadcast. 2009 was the fifth year of the tournament.

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Oxford University Press, London. (Details some variants on rock paper scissors such as 'Man, Earwig, Elephant' in Indonesia, and presents evidence for the existence of 'finger throwing games' in Egypt as early as 2000

713: 5575: 2857: 5900: 2096:, there is a rock paper scissors element in the type effectiveness system. For example, a Grass-typed Pokémon is weak to Fire, Fire is weak to Water, and Water is weak to Grass. In the 3DS remake of 4866: 2025:

and had no particular strategy for the game, but went with "paper". Christie's won the match and sold the $ 20 million collection, earning millions of dollars of commission for the auction house.

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described "stone, scissors, and paper" as a "Teutonic method of drawing lots", which the writer "came across when travelling on the Continent once". Another article, from the same year, the

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In 2008, Sean "Wicked Fingers" Sears beat 300 other contestants and walked out of the Mandalay Bay Hotel and Casino with $ 50,000 after defeating Julie "Bulldog" Crossley in the finals.

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Many card-based video games in Japan use the rock paper scissors system as their core fighting system, with the winner of each round being able to carry out their designated attack. In

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Kerr, Benjamin; Riley, Margaret A.; Feldman, Marcus W.; Bohannan, Brendan J. M. (11 July 2002). "Local dispersal promotes biodiversity in a real-life game of rock–paper–scissors".

627:“Jan-Ken-Po”, first published in 1934, describes the rules of the hand-game without mentioning any American game along the lines of “rock paper scissors”. The 1933 edition of the 765:). The loser of each round removes an article of clothing. The game is a minor part of porn culture in Japan and other Asian countries after the influence of TV variety shows and 5388: 3274:, article by Marion May Dilts: "COMMUTING WITH TOKYO'S SUBURBANITES; Their Morning Ritual Is Characteristically Japanese, but In Their Mode of Travel There Is Western Technique" 1930: 5957: 623:

article on the Tokyo rush hour describes the rules of the game for the benefit of American readers, suggesting it was not at that time widely known in the U.S. Likewise, the

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The name "rock paper scissors" is simply a translation of the Japanese words for the three gestures involved in the game, though the Japanese name for the game is different.

4611: 1822: 1774: 1726: 1678: 1630: 1542: 1515: 1467: 1419: 1371: 1323: 1275: 1118: 1073: 1028: 5550: 3653: 3449: 4819: 2801: 5576:"Eat Bulaga: Judy Ann Santos, tinalo ang kapatid sa Jackpot en Poy | Eat Bulaga | TV | GMA Entertainment - Online Home of Kapuso Shows and Stars - Video" 2692: 2545: 5579: 4789: 3996: 3632: 2853: 5638: 3748: 5221: 4705: 612:, a children's magazine in France, described it in detail, referring to it as a "jeu japonais" ("Japanese game"). Its French name, "Chi-fou-mi", is based on the 5524: 983: 694:

created a robot hand that can play rock paper scissors with a 100% win rate against a human opponent. Using a high-speed camera the robot recognizes within one

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Generalized rock-paper-scissors games where the players have a choice of more than three weapons have been studied. Any variation of rock paper scissors is an

748:" upon which both players throw again. If they throw differently (for example, rock and paper, or paper and scissors), whoever wins this second round shouts " 1126:

tie, while increasing the complexity of the game. The probability of a tie in an odd-number-of-weapons game can be calculated based on the number of weapons

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results demonstrate rock paper scissors dynamics in additional species of bacteria. Biologist Benjamin C. Kirkup Jr. demonstrated that these antibiotics,

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is a rock-paper-scissors game using cards that represent the three elements, Fire, Water and Snow. Fire beats snow, snow beats water, water beats fire.

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selection methods, however, rock paper scissors can be played with some degree of skill by recognizing and exploiting non-random behavior in opponents.

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Kirkup, Benjamin C.; Riley, Margaret A. (25 March 2004). "Antibiotic-mediated antagonism leads to a bacterial game of rock–paper–scissors in vivo".

6030: 5503: 2083:, the player has to win games of rock paper scissors against each boss to proceed. Others use simple variants of rock paper scissors as subgames. 5187: 4226: 3367: 4546:

Jiang, Luo-Luo; Zhou, Tao; Perc, Matjaž; Wang, Bing-Hong (2011). "Effects of competition on pattern formation in the rock-paper-scissors game".

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Kitsune-ken was a popular Japanese rock paper scissors variant. From left to right: The hunter (ryōshi), village head (shōya) and fox (kitsune).

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Rock paper scissors is the subject of continued research in bacterial ecology and evolution. It is considered one of the basic applications of

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of the time for fire and water. Nevertheless, experiments show that people underuse water and overuse rock, paper, and scissors in this game.

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Alonzo, Suzanne H.; Sinervo, Barry (2001). "Mate choice games, context-dependent good genes, and genetic cycles in the side-blotched lizard,

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series, the three basic actions used during battles are described in their respective rock paper scissors system: attack, defense, and grab.

368: 4980: 2196:. Leo Bryan Pacis was the first commissioner of the USARPS. Cody Louis Brown was elected as the second commissioner of the USARPS in 2014. 5733:

Sinervo, Barry (2001). "Runaway social games, genetic cycles driven by alternative male and female strategies, and the origin of morphs".

5477: 5418: 5078: 379: 5359: 5264: 2108:, the battles in the second mode use a “Power Triangle” system based on the game's three attack types: Melee, Ranged, and Flying. In the 859:

the totems. The players' choices break down as: Hunter shoots bear; Bear eats ninja; Ninja kills hunter. The game was popularized with a

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Adami, Christoph; Schossau, Jory; Hintze, Arend (1 January 2012). "Evolution and stability of altruist strategies in microbial games".

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Asia the open-palm gesture represents "cloth" rather than "paper". The shape of the scissors is also adopted from the Japanese style.

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Each of the three basic hand signs (from left to right: rock, paper, and scissors) beats one of the other two, and loses to the other.

5854:"The Evolution of Alternative Reproductive Strategies: Fitness Differential, Heritability, and Genetic Correlation Between the Sexes" 3071: 1134:, so the probability of a tie is 1/3 in standard rock paper scissors, but 1/5 in a version that offered five moves instead of three. 895: 6002: 4503:

Bucci, Vanni; Nadell, Carey D.; Xavier, João B. (1 December 2011). "The Evolution of Bacteriocin Production in Bacterial Biofilms".

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production. The theory for this finding was demonstrated by computer simulation and in the laboratory by Benjamin Kerr, working at

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ordered opposing sides in a lengthy court case to settle a trivial (but lengthily debated) point over the appropriate place for a

5554: 5158: 3475: 1173: 820:" they both show two open-palmed hands. One player then changes his hand gestures while calling his new combination out (e.g., " 6188: 4930: 4811: 4679: 3661: 3446: 2161:

prizes, elaborate staging, and colorful competitors. In 2004, the championships were broadcast on the U.S. television network

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Sinervo, Barry; Clobert, Jean (2003). "Morphs, Dispersal Behavior, Genetic Similarity, and the Evolution of Cooperation".

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A biological example of rock paper scissors: Interview with biologist Barry Sinervo on the 7th Avenue Project Radio Show

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Linhart, Sepp (1995). "Some Thoughts on the Ken Game in Japan: From the Viewpoint of Comparative Civilization Studies".

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Sinervo, Barry; Lively, C. M. (1996). "The Rock-Paper-Scissors Game and the evolution of alternative male strategies".

5217: 2779: 2359: 5304: 828:" is most likely a transcription of the Japanese names for the different hand gestures in the original jan-ken game, " 7365: 6808: 6627: 5528: 4291:

Pátková, Irena; Čepl, Jaroslav J; Rieger, Tomáš; Blahůšková, Anna; Neubauer, Zdeněk; Markoš, Anton (1 January 2012).

3697: 3038: 3013: 2982: 2957: 2444: 2411: 812:" refers to the water gesture. The game is played by two players using both hands. At the same time, they both say, " 707: 127:, where it reached its modern standardized form, before being spread throughout the world in the early 20th century. 3529: 3499: 1959: 6429: 3555: 2098: 6048: 6898: 4201: 2042: 4701: 2604: 1840: 208:. While the game's name is a list of three items, different countries often have the list in a different order. 7360: 6768: 6439: 5973: 4176: 2189: 418: 406: 6607: 5440: 3717: 2369: 2092: 1487: 6949: 6367: 6342: 5290: 2364: 2279:. The event is an annual fundraiser for the "Cancer Research and Prevention Foundation" via Gordon's charity 659: 500:(狐) defeats the village head, the village head (庄屋) defeats the hunter, and the hunter (猟師) defeats the fox. 422: 410: 7340: 2626: 2006:

auctions, Hashiyama asked the firms to decide between themselves who would hold the auction, which included

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Linhart, Sepp (1998). "From Kendo to Jan-ken: The Deterioration of a Game from Exoticism to Ordinariness".

5035: 5013: 6519: 6499: 6034: 4867:"Pokemon Go type chart - type strength, weakness and effectiveness for Pokemon battles explained - VG247" 3975: 2247:

The largest rock paper scissors tournament hosted 2,950 players and was achieved by Oomba, Inc. (USA) at

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Started in 2015, the WRPSA has hosted Professional Rock Paper Scissors Tournaments all around the world.

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Tagiew, Rustam (2009). "Hypotheses about Typical General Human Strategic Behavior in a Concrete Case".

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From China the game was brought to Japan. Throughout Japanese history there are frequent references to

173: 5195: 454:(fist) games "of the three who are afraid of one another" (i.e. A beats B, B beats C, and C beats A). 7269: 7192: 6928: 6484: 6409: 6266: 5992: 4123:. Lecture Notes in Computer Science. Vol. 5883. Berlin, Heidelberg: Springer. pp. 476–485. 3749:"After Another Short Break, "Not Much Equipment Games" returns – Bear, Hunter, Ninja! - Knucklebones" 629: 5128: 4293:"Developmental plasticity of bacterial colonies and consortia in germ-free and gnotobiotic settings" 4058: 3256: 3175: 3142: 2570: 2224:, China after the close of the 2008 Summer Olympics at Club Bud. A Belfast man won the competition. 1800: 1752: 1704: 1656: 1608: 1520: 1493: 1445: 1397: 1349: 1301: 1253: 1096: 1051: 1006: 7345: 7284: 7017: 6903: 6700: 6494: 6312: 6110: 5916: 4893: 3782: 3069: 3068:

In Korea the name of the game, Kai Bai Bo, or Kawi Bawi Bo, translates as "scissors, rock, cloth".

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described it as a method of "Chinese gambling". In Britain in 1924 it was described in a letter to

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antibiotic-sensitives multiply and out-compete others; until antibiotic-producers multiply again.

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The inaugural Budweiser International Rock, Paper, Scissors Federation Championship was held in

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After the Rome correspondent of a British paper described the traditional Italian hand-game of

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Akin, Ethan (2018). "Rock, Paper, Scissors, Etc—Topics in the Theory of Regular Tournaments".

3805:"Pigs Don't Fly by Zac Martin - Digital Marketing & Entrepreneurship: + Bear Hunter Ninja" 3689: 3683: 3595:"Janken (rock-paper-scissors) robot with 100% winning rate (human-machine cooperation system)" 6773: 6758: 6332: 5074: 4746: 3243: 3162: 3129: 3005: 2999: 2627:"Ready, set ... Roshambo! Contestants vie for $ 1,000 purse in Rock, Scissors, Paper contest" 2272: 2271:

has hosted an annual $ 500 World Series of Rock Paper Scissors event in conjunction with the

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Various competitive rock paper scissors tournaments have been organised by different groups.

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showed that 4 variants of 582 possible variations using 5 different weapons have non-trivial

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Jackpot En Poy is a game segment on the Philippines' longest running noontime variety show,

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Art/Auctions logo, Impressionist & Modern Art, Christie's, 7 pm, May 4, 2005, Sale 1514

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Rock paper scissors is often used as a fair choosing method between two people, similar to

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The $ 50,000 2007 USARPS Tournament took place at the Las Vegas Mandalay Bay in May 2007.

8: 7350: 7264: 6883: 6670: 6597: 6577: 6434: 6317: 6103: 5721: 2429: 2403: 1926: 1866: 1181: 691: 6923: 5828: 5781: 5681: 5337: 4569: 4416: 4355: 4253: 4128: 2460: 7243: 7102: 6933: 6913: 6763: 6642: 6547: 6474: 6419: 6193: 5840: 5801: 5754: 5693: 4751: 4608:"Atherton, K. D. (2013). A brief history of the demise of battle bots. Popular science" 4589: 4555: 4528: 4480: 4455: 4436: 4402: 4375: 4319: 4292: 4273: 3862: 968: 471: 373: 357: 38: 5166: 4840: 4087:"The Big Bang Theory Video — Rock, Paper, Scissors, Lizard, Spock — CBS.com" 3472: 7228: 7197: 7152: 7047: 6918: 6873: 6848: 6778: 6652: 6582: 6572: 6464: 6414: 6362: 5875: 5844: 5793: 5768: 5746: 5284: 4846: 4780:"Soccer Ref Suspended Three Weeks For Using Rock-Paper-Scissors Instead Of Coin Flip" 4671: 4663: 4581: 4520: 4485: 4428: 4367: 4324: 4265: 4220: 4150: 4140: 3951: 3914: 3693: 3034: 3009: 2978: 2953: 2883: 2826: 2502: 2440: 2407: 2354: 2117: 2071: 881: 698:

which shape the human hand is making, then produces the corresponding winning shape.

573: 239: 131: 113: 5930:. Fireside. (strategy, tips and culture from the World Rock Paper Scissors Society). 5805: 5758: 5697: 4922: 4532: 4290: 721:

that shows geisha playing kitsune-ken, a Japanese rock paper scissors variant (1820)

254: 7309: 7304: 7238: 7202: 7182: 7142: 7112: 7067: 7022: 7007: 6964: 6818: 6459: 6396: 6382: 6347: 6031:"Hand to Hand Combat: Down and dirty at the World Rock Paper Scissors Championship" 5865: 5832: 5815: 5785: 5738: 5685: 5162: 4593: 4573: 4512: 4475: 4467: 4440: 4420: 4379: 4359: 4314: 4304: 4277: 4257: 4132: 3657: 3484: 3425: 2921: 2342: 2234: 1994: 1977:

In 2005, when Takashi Hashiyama, CEO of Japanese television equipment manufacturer

1934: 1870: 1177: 231: 2715: 2658: 2090:

role-playing games prominently feature a rock paper scissors gameplay element. In

7207: 7167: 7122: 7037: 7032: 6753: 6705: 6592: 6357: 6327: 6297: 6070: 5920: 5907: 4732: 4136: 3919:

Proceedings of the International Conference on Agents and Artificial Intelligence

3890: 3479: 3453: 3075: 2396: 2200: 440:

game (1809). From left to right: slug (namekuji), frog (kawazu) and snake (hebi).

313: 235: 227: 7072: 2007: 1986: 1963: 337:), and a version where players shake their hands three times before "throwing". 180:

to the presence of a statue of Rochambeau in a neighborhood of Washington, D.C.

7147: 7137: 7127: 7062: 7052: 7042: 7027: 6823: 6803: 6788: 6783: 6743: 6710: 6695: 6690: 6680: 6489: 6168: 4577: 4453: 4424: 4173:"The rock-paper-scissors game and the evolution of alternative male strategies" 3189: 2208: 2204: 2162: 2041:, had the team captains play rock paper scissors to determine which team would 2022: 766: 718: 658:

It is impossible to gain an advantage over an opponent that chooses their move

216: 146: 5870: 5853: 5742: 4951: 4196: 3830: 2577:. Roy Rosenzweig Center for History and New Media at George Mason University. 884:) oriented graphs grows with the number of weapons = 3, 4, 5, ... as follows: 304: 153:

in order to settle a dispute or make an unbiased group decision. Unlike truly

7329: 7187: 7177: 7132: 7117: 7097: 6868: 6843: 6715: 6685: 6675: 6662: 6567: 6509: 6444: 6377: 6160: 4725: 4675: 4454:

Rankin, D. J.; Turner, L. A.; Heinemann, J. A.; Brown, S. P. (11 July 2012).

4309: 4168: 4154: 4025: 3999: 3552:"Rock Paper Scissors Programming Competition entry: sixth-order markov chain" 2038: 1998: 1990: 1982: 1978: 1970: 1861:

Some bacteria also exhibit a rock paper scissors dynamic when they engage in

1163: 493: 446: 437: 334: 295: 282:

In France, the game is sometimes called Shifumi (sometimes spelled Chifoumi)

212: 142: 135: 6077: 5789: 5718:, 2 vols. (more evidence of nonexistence of rock paper scissors in the West) 4702:"Order of the court: Avista Management vs. Wausau Underwriters Insurance Co" 2822:"Rock, paper, scissors, winner! Fast-fingered champ takes home $ 1000 prize" 2775: 863:

commercial where warehouse employees had too much free time on their hands.

536:, which is a variation of the Chinese games introduced in the 17th century. 7162: 7157: 7012: 6587: 6235: 6214: 6145: 5879: 5797: 5750: 5308: 4585: 4524: 4489: 4471: 4432: 4371: 4328: 4269: 3882: 3118: 2663: 2540: 2348: 2329: 2166: 2125: 2002: 1946: 1903: 684: 613: 546: 364: 120: 5689: 5243:"World RPS Society - 2004 Champion Lee Rammage crushes a pair of Scissors" 4841:

Egenfeldt-Nielsen, Simon; Jonas Heide Smith; Susana Pajares Tosca (2008).

2323: 7279: 7082: 7077: 7057: 6853: 6838: 6647: 6617: 6552: 6542: 6372: 6307: 6283: 5711: 4082: 3525: 3503: 2685:"The Origins and Evolution of Rock Paper Scissors: A History of the Game" 2506: 2496: 2304: 2110: 2061:

to identify winning hands according to the rules of rock paper scissors.

1890: 1878: 1550:+ means that the row player "beats", − means "is beaten" and O means tie 1483: 1195:+ means that the row player "beats", − means "is beaten" and O means tie 916:+ means that the row player "beats", − means "is beaten" and O means tie 740: 695: 386: 330: 250: 6251: 5976:

was created from a revision of this article dated 14 July 2006

4363: 4261: 3712: 3551: 582:

explaining, the appearance by 1927 of a popular thriller with the title

6908: 6562: 6183: 5360:"Belfast man tops world at rock, paper, scissors | Irish Examiner" 2284: 2058: 1908: 1862: 907: 756: 744:. After showing their hands, the player with the winning throw shouts " 243: 154: 5706:

Korean Games, With Notes on the Corresponding Games at China and Japan

3526:"Rock Paper Scissors Programming Competition entry: DNA werfer 5 L500" 2854:"Te Wiki o te Reo Māori 2020 | Ko Tā te Rangatira Kai, He Kōrero" 481:(蜈蜙) were apparently confused with the characters for the slug (蛞蝓)). 54: 6813: 6733: 6557: 6173: 6150: 6140: 6126: 5836: 3628: 2925: 1168: 663: 478: 223: 116: 65: 4502: 3147:

Letter to the editor, from Paymaster Lieutenant G.L.P. Garwood, R.N.

2207:

where the winner received $ 50,000. The tournament was shown on the

670:

throwing another, in order to misdirect and confuse their opponent.

593:

The game is referred to in two of Hildegard G. Frey's novels in the

7248: 6748: 4894:"The best rock-paper-scissors players know how to win without luck" 4784: 4516: 3867: 2087: 1897: 761: 650: 475: 394: 4747:"Rock, Paper, Payoff: Child's Play Wins Auction House an Art Sale" 4560: 4407: 1945:

Upon consideration of the Motion – the latest in a series of

690:

In 2012, researchers from the Ishikawa Watanabe Laboratory at the

6969: 6959: 6637: 3835: 2248: 2221: 2140:

Two players at the 4th UK Rock Paper Scissors Championships, 2010

888:

7, 42, 582, 21480, 2142288, 575016219, 415939243032, … (sequence

562: 497: 253:, the most common name in English is "paper, scissors, rock". In 4392: 2802:"Aussies debate the correct way to play 'Scissors, Paper, Rock'" 2275:

since 2005. The winner of the WSORPS receives an entry into the

2177:

Several RPS events have been organised in the United Kingdom by

642: 6010: 5708:. (evidence of nonexistence of rock paper scissors in the West) 5009: 3447:"Student rivals throw down at rock, paper, scissors tournament" 1159:" to the standard three choices. "Spock" is signified with the 1156: 3971: 3286:, 1933, Volume 7, p. 194. F. E. Compton & Company, Chicago 2882:. Upper Saddle River, NJ: Pearson Prentice Hall. p. 535. 2013:, estimated to be worth between $ 12 million to $ 16 million. 6738: 6095: 6058: 3915:"Towards a Framework for Management of Strategic Interaction" 3302: 2199:

In April 2006, the inaugural USARPS Championship was held in

1474: 1152: 860: 385:

1600), who wrote that the game dated back to the time of the

168:

The name Roshambo or Rochambeau has been claimed to refer to

124: 37:"Ro Sham Bo" redirects here. For the album by The Grays, see 6084:

Radio documentary explores links between RPS and game theory

4981:"Hour 3: Ken "Whitey" Watson by Keyshawn, JWill & Zubin" 4664:"Lawyers Won't End Squabble, So Judge Turns to Child's Play" 4121:

AI*IA 2009: Emergent Perspectives in Artificial Intelligence

2136: 2045:. The referee was subsequently suspended for three weeks by 2227: 890: 734:

In Korea, where the standard version of the game is called

508:

or rock–paper–scissors, requires gestures with both hands.

150: 6063: 3357: 3261:: "Jeux actifs et mi-actifs pouvant être joués en classe." 6081: 4090: 2037:, the referee, upon being without a coin for the pregame 542: 6053: 5913: 4341: 2147: 188:

The modern game is known by several other names such as

108:(also known by several other names and word orders, see 5716:

The traditional games of England, Scotland, and Ireland

4460:

Proceedings of the Royal Society B: Biological Sciences

3422:"Second International RoShamBo Programming Competition" 1985:

paintings owned by his corporation, including works by

5010:"About Us | The World Rock Paper Scissors Association" 3439: 3394:"First International RoShamBo Programming Competition" 2237:, in August 2008, with a chance to win up to $ 5,000. 706:"Jack en poy" redirects here. Not to be confused with 4843:

Understanding video games: the essential introduction

2490: 2488: 2486: 1937:

using the game of rock paper scissors. The ruling in

1803: 1755: 1707: 1659: 1611: 1523: 1496: 1448: 1400: 1352: 1304: 1256: 1151:", invented by Sam Kass and Karen Bryla, which adds " 1099: 1054: 1009: 971: 389:(206 BCE – 220 CE). In the book, the game was called 5500:"The REAL championship at the World Series of Poker" 3625:"Play muk-zzi-ppa! The upgraded rock-paper-scissors" 3056:

Jan Ken Po: The World of Hawaii's Japanese Americans

2877: 2536:"Why Do People Call Rock-Paper-Scissors "Roshambo?"" 2360:

Rock paper scissors and human social cyclic behavior

2319: 2155: 350:

The first known mention of the game was in the book

3577:"Rock-paper-scissors robot wins every time – video" 2948:Linhart, Sepp (1995). "Rituality in the ken game". 2746:"How to Play Rock, Paper, Scissors: A Simple Guide" 2431:

Rock, paper, scissors: game theory in everyday life

2398:

Rock, Paper, Scissors: Game Theory in Everyday Life

738:, a two-player upgraded version exists by the name 4198:Barry Sinervo on the 7th Avenue Project Radio Show 3688:. Bloomington, IN: Simon & Schuster. pp. 2483: 2395: 1816: 1768: 1720: 1672: 1624: 1536: 1509: 1461: 1413: 1365: 1317: 1269: 1112: 1067: 1022: 977: 5551:"EXCLUSIVE COVERAGE: Roshambo — The Rematch" 5265:"Rock Paper Scissors crowns a queen as its champ" 4834: 4545: 2565: 2563: 2240: 465:(虫拳), a version imported directly from China. In 7327: 5441:"Las Vegas's latest game: Rock, paper, scissors" 4043: 4026:"Original Rock-Paper-Scissors-Spock-Lizard Page" 3358:Dance, Gabriel & Jackson, Tom (2010-10-07). 2975:The Culture of Japan as Seen through Its Leisure 2351:, another hand game for deciding trivial matters 2291: 2028: 1898:Mechanical devices and geometrical constructions 1478:Oriented graph of Rock-Paper-Scissors-Fire-Water 759:variant of rock paper scissors is known as 野球拳 ( 6033:. Rolling Stone Feature Article. Archived from 5928:The Official Rock Paper Scissors Strategy Guide 3685:The Official Rock paper Scissors Strategy Guide 3654:"How rock paper scissors is played around Asia" 3087:Poidevin, L. C. S. (1921-01-07). "Test Match". 2943: 2941: 2939: 2937: 2935: 796:Singapore also has a related hand-game called " 654:Children in Myanmar playing rock paper scissors 5851: 5765: 4167: 2966: 2560: 529: 6267: 6111: 5812: 5663: 5067:"2003 World Rock Paper Scissors Championship" 3885:; Palmer, Edgar M. (1973), "Formula 5.4.13", 3303:"Rock Paper Scissors Programming Competition" 3296: 3294: 3292: 3180:: Letter to the editor, from Miss F.C.Pringle 2529: 2527: 496:). In this game, a supernatural fox called a 5926:Walker, Douglas & Walker, Graham (2004) 3908: 3906: 3904: 3881: 3416: 3414: 3388: 3386: 3384: 2932: 2494: 646:Children in Laos playing rock paper scissors 616:words for "one, two, three" ("hi, fu, mi"). 590:(1929), suggests it quickly became popular. 6059:Rock Paper Scissors Programming Competition 5411:"Master Rosh's Analysis of the Final Match" 5271:. Archived from the original on 8 July 2012 4634:"Exasperated judge resorts to child's game" 4225:: CS1 maint: numeric names: authors list ( 3941: 3939: 3360:"Rock-Paper-Scissors: You vs. the Computer" 2878:Moore, Michael E.; Sward, Jennifer (2006). 2716:"Scissors, paper, stone - a strategic game" 1997:, he contacted two leading auction houses, 1981:, decided to auction off the collection of 1834: 264: 258: 172:, who allegedly played the game during the 6274: 6260: 6118: 6104: 4719: 3497: 3289: 2977:. New York: SUNY Press. pp. 325–326. 2524: 1954: 1172:of London and was later the subject of an 552: 53: 6281: 6064:Rock Paper Scissors online remote edition 6054:The World Rock Paper Scissors Association 5901:The Official Rock Paper Scissors Handbook 5869: 5726:Children's Games in Street and Playground 5527:. Poker Pages. 2005-06-14. Archived from 5362:. Examiner.ie. 2008-08-27. Archived from 4559: 4479: 4406: 4318: 4308: 3901: 3889:, New York: Academic Press, p. 133, 3866: 3488:, 20 March 2006. Retrieved 13 April 2007. 3411: 3381: 2907: 2905: 2903: 2901: 2899: 2021:Sotheby's said that they treated it as a 1841:Common side-blotched lizard § Mating 1829: 1141:Rock paper scissors lizard Spock gestures 5984:, and does not reflect subsequent edits. 5967: 5497: 5129:"Rock Paper Scissors contest being held" 4699: 3945: 3936: 3714:Kementerian Pendidikan dan Kebudayaan RI 3465: 3462:, 8 April 2007. Retrieved 13 April 2007. 3300: 3238:"La Vie au patronage". January 1927: 73. 3086: 2997: 2624: 2228:National XtremeRPS Competition 2007–2008 2135: 2105:Mario & Luigi: Bowser's Inside Story 2033:Prior to a 26 October 2018 match in the 1958: 1939:Avista Management v. Wausau Underwriters 1473: 1136: 712: 649: 641: 510: 431: 5852:Sinervo, Barry; Zamudio, K. R. (2001). 5732: 5305:"World RPS Society World Championships" 4777: 3995: 3320: 3028: 2972: 2947: 2911: 2713: 2593: 772:In the Philippines, the game is called 14: 7328: 6000: 5886: 5438: 5262: 4891: 4792:from the original on November 15, 2018 4661: 4614:from the original on 13 September 2017 4118: 3912: 3831:"FedEx Bear, Hunter, Ninja Commercial" 3681: 3517: 3326: 2896: 2426: 2393: 2052: 1920: 1145:One popular five-weapon expansion is " 6255: 6099: 6028: 5914:World Rock Paper Scissors Association 5215: 5033: 4845:. Taylor & Francis. p. 103. 4822:from the original on 27 December 2017 4812:"Chimps can play rock-paper-scissors" 4778:Theisen, Lauren (November 14, 2018). 4744: 3270:'New York Times', May 22, 1932 - The 3058:. Hawaii: University of Hawaii Press. 3053: 2952:. London: Routledge. pp. 38–41. 2799: 2756:from the original on 16 November 2023 2695:from the original on 16 November 2023 2656: 2533: 2312:hosts, they will win the cash prize. 2184: 2148:World Rock Paper Scissors Association 1915: 866: 5601:"WATCH: PH senators on 'Eat Bulaga'" 5417:. USARPS. 2005-06-28. Archived from 5391:from the original on 12 October 2014 5156: 4023: 3860: 3811:from the original on 16 October 2015 3523: 2255:, United States, on 17 August 2014. 2011:Large Trees Under the Jas de Bouffan 1967:Large Trees Under the Jas de Bouffan 808:" refers to the stone gesture, and " 787: 401:also mentions this game, calling it 32:Rock paper scissors (disambiguation) 6189:Pat-a-cake, pat-a-cake, baker's man 6075: 5912:The Official Strategy Guide of the 5670:Behavioral Ecology and Sociobiology 3682:Walker, Douglas and Graham (2004). 3549: 3329:"How to win at rock–paper–scissors" 3226:The Campfire Girls Larks and Pranks 2776:"Scissors, Paper, Rock - Australia" 2461:"How to win at rock-paper-scissors" 2172: 603:The Campfire Girls Larks and Pranks 123:and was subsequently imported into 24: 6323:First-player and second-player win 5954: 5330:"Pub hosts UK 'rock' championship" 5159:"Rock, Paper, Scissors, the Sport" 4759:from the original on March 9, 2015 4700:Presnell, Gregory (June 7, 2006). 3473:"Rock, Paper, Scissors, the Sport" 2834:from the original on 1 August 2023 2726:from the original on 18 April 2016 2074:and single dominant type of unit. 2057:In Japan, researchers have taught 25: 7377: 5935: 5887:Sogawa, Tsuneo (2000). "Janken". 5548: 4081: 2880:Introduction to the game industry 2659:"It's not your dad's ick-ack-ock" 2581:from the original on June 9, 2021 2548:from the original on June 9, 2021 2156:World Rock Paper Scissors Society 2099:Mario & Luigi: Superstar Saga 1894:bacterial ecology and evolution. 1193:Rock-Paper-Scissors-Spock-Lizard; 914:"pierre, papier, ciseaux, puits"; 843:In Indonesia, the game is called 708:Jack Em Popoy: The Puliscredibles 436:Mushi-ken, the earliest Japanese 246:, though this has been disputed. 27:Hand game for two players or more 6430:Coalition-proof Nash equilibrium 5966: 5622: 5593: 5568: 5542: 5517: 5491: 5462: 5432: 5403: 5377: 5352: 5135:. Associated Press. 2003-10-27. 5100:"Rock, Paper, Scissors A Sport?" 4640:. Associated Press. 2006-06-26. 3001:Introduction to Japanese culture 2534:Ferro, Shaunacy (May 18, 2016). 2322: 1925:In 2006, American federal judge 1187:rock-paper-scissors-lizard-Spock 1148:rock paper scissors Spock lizard 729: 312: 303: 294: 5641:from the original on 2017-05-06 5611:from the original on 2017-03-29 5506:from the original on 2009-06-21 5480:from the original on 2017-07-08 5451:from the original on 2014-12-07 5322: 5297: 5256: 5235: 5224:from the original on 2008-09-07 5209: 5180: 5157:Park, Michael Y. (2006-03-20). 5150: 5139:from the original on 2006-06-14 5121: 5110:from the original on 2015-11-18 5092: 5081:from the original on 2006-09-16 5059: 5048:from the original on 2009-02-10 5036:"Fists fly in game of strategy" 5027: 5016:from the original on 2021-04-16 5002: 4991:from the original on 2021-06-18 4973: 4962:from the original on 2021-04-21 4944: 4933:from the original on 2021-04-21 4915: 4904:from the original on 2021-03-01 4885: 4859: 4804: 4771: 4745:Vogel, Carol (April 29, 2005). 4738: 4708:from the original on 2015-02-16 4693: 4682:from the original on 2017-05-10 4655: 4644:from the original on 2006-06-14 4626: 4600: 4539: 4496: 4447: 4386: 4335: 4284: 4233: 4208:from the original on 2011-04-24 4190: 4161: 4112: 4075: 4032:from the original on 2010-11-13 4017: 4006:from the original on 2017-04-07 3989: 3978:from the original on 2018-10-24 3964: 3925:from the original on 2020-07-28 3875: 3854: 3843:from the original on 2016-08-06 3823: 3797: 3767: 3741: 3724:(in Indonesian). Archived from 3706: 3675: 3646: 3635:from the original on 2014-02-21 3617: 3587: 3569: 3558:from the original on 2012-03-25 3543: 3532:from the original on 2012-03-25 3491: 3370:from the original on 2011-04-30 3351: 3339:from the original on 2 May 2014 3309:from the original on 2019-04-10 3284:Compton's Pictured Encyclopedia 3277: 3264: 3231: 3215: 3199: 3183: 3150: 3110: 3095: 3080: 3062: 3047: 3022: 2991: 2871: 2860:from the original on 2023-08-01 2846: 2814: 2793: 2782:from the original on 2023-08-01 2768: 2738: 2707: 2677: 2639:from the original on 2007-12-13 2513:from the original on 2015-07-14 2471:from the original on 6 May 2015 2258: 1548:Rock-Paper-Scissors-Fire-Water; 804:" refers to the bird gesture, " 666:that play rock paper scissors. 630:Compton's Pictured Encyclopedia 242:and "paper, scissors, rock" in 6440:Evolutionarily stable strategy 6125: 6001:Abrams, Michael (2004-07-05). 5628: 5245:. Stanley-paul.com. 2005-11-13 5216:Crick, Jennifer (2005-06-13). 4892:Betuel, Emma (5 August 2020). 4869:. 26 June 2017. Archived from 4057:. 11 June 2005. Archived from 3210:The Campfire Girls Go Motoring 3196:, Hodder and Stoughton, (1927) 3124:"The Times". 1 March 1924: 15. 2650: 2625:St. John, Kelly (2003-03-19). 2618: 2453: 2420: 2387: 2242:Guinness Book of World Records 2190:USA Rock Paper Scissors League 2131: 2064: 1817:{\displaystyle {\frac {1}{3}}} 1769:{\displaystyle {\frac {1}{3}}} 1721:{\displaystyle {\frac {1}{9}}} 1673:{\displaystyle {\frac {1}{9}}} 1625:{\displaystyle {\frac {1}{9}}} 1537:{\displaystyle {\frac {1}{3}}} 1510:{\displaystyle {\frac {1}{9}}} 1462:{\displaystyle {\frac {1}{5}}} 1414:{\displaystyle {\frac {1}{5}}} 1366:{\displaystyle {\frac {1}{5}}} 1318:{\displaystyle {\frac {1}{5}}} 1270:{\displaystyle {\frac {1}{5}}} 1113:{\displaystyle {\frac {1}{3}}} 1068:{\displaystyle {\frac {1}{3}}} 1023:{\displaystyle {\frac {1}{3}}} 904:pierre, papier, ciseaux, puits 599:The Campfire Girls Go Motoring 13: 1: 6368:Simultaneous action selection 5631:"Happily resettled back home" 5498:Caldwell, John (2005-06-15). 5439:Friess, Steven (2007-05-14). 5336:. 28 May 2009. Archived from 5034:Hruby, Patrick (2004-12-10). 3157:"The Times". 6 March 1924: 8. 2714:Tomkins, Steve (6 May 2005). 2375: 2365:Simultaneous action selection 2267:host and USARPS Head Referee 2124:The "Card-Jitsu" minigame in 2029:FA Women's Super League match 701: 677: 637: 382: 230:, "rock, paper, scissors" in 7300:List of games in game theory 6480:Quantal response equilibrium 6470:Perfect Bayesian equilibrium 6405:Bayes correlated equilibrium 5722:Opie, Iona & Opie, Peter 5553:. Pokerworks. Archived from 5194:. 2005-11-13. Archived from 4137:10.1007/978-3-642-10291-2_48 4000:"Rock Paper Scissors Graphs" 3660:. 2019-07-29. Archived from 3424:. 2001-03-20. Archived from 3396:. 1999-10-01. Archived from 3327:Morgan, James (2 May 2014). 3228:, A. L. Burt Company, (1917) 3212:, A. L. Burt Company, (1916) 3004:. Rutland: Tuttle. pp. 2950:Ceremony and Ritual in Japan 2800:Hicks, Stacey (2022-10-24). 2657:Wells, Steven (2006-11-24). 160: 7: 6769:Optional prisoner's dilemma 6500:Self-confirming equilibrium 4662:Liptak, Adam (2006-06-09). 2495:長田須磨・須山名保子共編 (April 1977). 2315: 1856: 1847:common side-blotched lizard 285: 10: 7382: 7234:Principal variation search 6950:Aumann's agreement theorem 6613:Strategy-stealing argument 6525:Trembling hand equilibrium 6455:Markov perfect equilibrium 6450:Mertens-stable equilibrium 5218:"HAND JIVE - 13 June 2005" 4578:10.1103/PhysRevE.84.021912 4425:10.1103/PhysRevE.85.011914 3950:. Routledge. p. 340. 3718:"Tahukah, #SahabatDikbud?" 3500:"Iocaine Powder Explained" 3033:. Tokyo: shoten Kadokawa. 2914:Senri Ethnological Studies 2080:Alex Kidd in Miracle World 1931:Middle District of Florida 1838: 705: 345: 340: 174:American Revolutionary War 109: 36: 29: 7270:Combinatorial game theory 7257: 7216: 6998: 6942: 6929:Princess and monster game 6724: 6626: 6533: 6485:Quasi-perfect equilibrium 6410:Bayesian Nash equilibrium 6391: 6290: 6228: 6202: 6159: 6133: 6029:Hegan, Ken (2004-01-07). 5289:: CS1 maint: unfit URL ( 4731:January 27, 2008, at the 3948:Game Theory and Exercises 3946:Umbhauer, Gisèle (2016). 3498:Egnor, Dan (1999-10-01). 3054:Ogawa, Dennis M. (1978). 2998:Sosnoski, Daniel (2001). 1969:sold for $ 11,776,000 at 1779: 1731: 1683: 1635: 1587: 1488:mixed strategy equilibria 1424: 1376: 1328: 1280: 1232: 1078: 1033: 988: 950: 906:(stone, paper, scissors, 530: 95: 87: 79: 71: 61: 52: 7366:Game theory game classes 7285:Evolutionary game theory 7018:Antoine Augustin Cournot 6904:Guess 2/3 of the average 6701:Strictly determined game 6495:Satisfaction equilibrium 6313:Escalation of commitment 5737:. 112–113 (1): 417–434. 5525:"WSOP Schedule Whiplash" 4310:10.1186/1471-2180-12-178 4202:"The Games Lizards Play" 4051:"... and paper scissors" 2265:Celebrity Poker Showdown 2047:The Football Association 1835:Lizard mating strategies 461:in Japan was apparently 183: 7290:Glossary of game theory 6889:Stackelberg competition 6515:Strong Nash equilibrium 6003:"Throwing for The Gold" 5871:10.1093/jhered/92.2.198 5790:10.1126/science.1083109 5743:10.1023/A:1013360426789 4505:The American Naturalist 4071:(subscription required) 3997:Bettencourt, Rebecca G. 3913:Tagiew, Rustam (2009). 3599:The University of Tokyo 3272:New York Times Magazine 2632:San Francisco Chronicle 2501:. Tokyo: Kasama shoin. 2435:. Basic Books. p. 2402:. Basic Books. p. 2345:, the binary equivalent 2035:FA Women's Super League 1955:Auction house selection 1580: 1484:game-theoretic analysis 1225: 943: 553:Spread beyond East Asia 7315:Tragedy of the commons 7295:List of game theorists 7275:Confrontation analysis 6985:Sprague–Grundy theorem 6505:Sequential equilibrium 6425:Correlated equilibrium 5962: 5942:Listen to this article 5899:Baldwin, Wyatt (2017) 5704:Culin, Stewart (1895) 4472:10.1098/rspb.2012.0942 3459:Lawrence Journal-World 3251:Cite journal requires 3170:Cite journal requires 3137:Cite journal requires 3029:Linhart, Sepp (1998). 2338:Chopsticks (hand game) 2141: 1974: 1952: 1830:Analogues in real life 1818: 1770: 1722: 1674: 1626: 1538: 1511: 1479: 1463: 1415: 1367: 1319: 1271: 1142: 1114: 1069: 1024: 979: 722: 655: 647: 625:trick-taking card game 519:Today, the best-known 516: 441: 260:pēpa, kutikuti, kōhatu 259: 7361:Sampling (statistics) 7088:Jean-François Mertens 6078:"Rock Paper Scissors" 5961: 5690:10.1007/s002650000265 5075:National Public Radio 5071:All Things Considered 3887:Graphical Enumeration 3775:"Ninja, Hunter, Bear" 3583:. London. 2012-06-27. 3089:Sydney Morning Herald 2571:"Rock Paper Scissors" 2273:World Series of Poker 2253:Indianapolis, Indiana 2139: 1962: 1943: 1819: 1771: 1723: 1675: 1627: 1539: 1512: 1477: 1464: 1416: 1368: 1320: 1272: 1140: 1115: 1070: 1025: 980: 716: 653: 645: 588:Stone Blunts Scissors 568:Sydney Morning Herald 561:A 1921 article about 541:century, between the 514: 435: 274:paper, scissors, rock 7217:Search optimizations 7093:Jennifer Tour Chayes 6980:Revelation principle 6975:Purification theorem 6914:Nash bargaining game 6879:Bertrand competition 6864:El Farol Bar problem 6829:Electronic mail game 6794:Lewis signaling game 6338:Hierarchy of beliefs 6179:Miss Lucy had a baby 5993:More spoken articles 5041:The Washington Times 3102:"Chinese Gambling". 2427:Fisher, Len (2008). 2394:Fisher, Len (2008). 1801: 1753: 1705: 1657: 1609: 1521: 1494: 1446: 1398: 1350: 1302: 1254: 1097: 1052: 1007: 969: 944:Optimal strategy for 30:For other uses, see 7336:Rock paper scissors 7265:Bounded rationality 6884:Cournot competition 6834:Rock paper scissors 6809:Battle of the sexes 6799:Volunteer's dilemma 6671:Perfect information 6598:Dominant strategies 6435:Epsilon-equilibrium 6318:Extensive-form game 6241:Rock paper scissors 6013:FYI. Archived from 5858:Journal of Heredity 5829:1996Natur.380..240S 5782:2003Sci...300.1949S 5776:(5627): 1949–1951. 5712:Gomme, Alice Bertha 5682:2001BEcoS..49..176A 5311:on 16 November 2018 4570:2011PhRvE..84b1912J 4466:(1743): 3706–3715. 4417:2012PhRvE..85a1914A 4364:10.1038/nature02429 4356:2004Natur.428..412K 4262:10.1038/nature00823 4254:2002Natur.418..171K 4129:2009LNCS.5883..476T 3921:(ICAART): 587–590. 3839:. 4 December 2006. 3785:on 23 December 2014 3524:dllu (2011-06-14). 3194:Scissors Cuts Paper 2575:teachinghistory.org 2053:Play by chimpanzees 1921:American court case 1867:Stanford University 1551: 1196: 1182:The Big Bang Theory 917: 776:(from the Japanese 692:University of Tokyo 660:uniformly at random 610:La Vie au patronage 106:Rock paper scissors 49: 48:Rock paper scissors 18:Rock-paper-scissors 7244:Paranoid algorithm 7224:Alpha–beta pruning 7103:John Maynard Smith 6934:Rendezvous problem 6774:Traveler's dilemma 6764:Gift-exchange game 6759:Prisoner's dilemma 6676:Large Poisson game 6643:Bargaining problem 6548:Backward induction 6520:Subgame perfection 6475:Proper equilibrium 6194:Pease Porridge Hot 6069:2020-12-17 at the 5963: 5919:2018-01-15 at the 5906:2020-07-28 at the 4752:The New York Times 4668:The New York Times 3755:. 16 November 2010 3605:on 12 January 2018 3550:rfw (2011-05-22). 3478:2012-10-21 at the 3452:2007-04-28 at the 3364:The New York Times 3074:2020-07-28 at the 2281:Bad Beat on Cancer 2185:USARPS tournaments 2142: 2001:International and 1975: 1916:Instances of usage 1814: 1766: 1718: 1670: 1622: 1547: 1534: 1507: 1480: 1459: 1411: 1363: 1315: 1267: 1192: 1143: 1110: 1065: 1020: 975: 913: 867:Additional weapons 723: 656: 648: 584:Scissors Cut Paper 517: 488:game in Japan was 472:Chinese characters 442: 399:Note of Liuyanzhai 333:and some parts of 47: 7323: 7322: 7229:Aspiration window 7198:Suzanne Scotchmer 7153:Oskar Morgenstern 7048:Donald B. Gillies 6990:Zermelo's theorem 6919:Induction puzzles 6874:Fair cake-cutting 6849:Public goods game 6779:Coordination game 6653:Intransitive game 6583:Forward induction 6465:Pareto efficiency 6445:Gibbs equilibrium 6415:Berge equilibrium 6363:Simultaneous game 6249: 6248: 6076:Jenkins, Jolyon. 5959: 5823:(6571): 240–243. 5220:. Money.cnn.com. 5192:World RPS society 4852:978-0-415-97721-0 4638:The Seattle Times 4548:Physical Review E 4395:Physical Review E 4350:(6981): 412–414. 4248:(6894): 171–174. 4146:978-3-642-10290-5 3957:978-1-3173-6299-9 3471:Michael Y. Park, 3222:Hildegard G. Frey 3206:Hildegard G. Frey 3106:: 28. 1921-08-28. 3104:Washington Herald 2889:978-0-13-168743-1 2827:Radio New Zealand 2355:Intransitive dice 2211:on 12 June 2006. 2118:Super Smash Bros. 2072:dominant strategy 1902:In the televised 1881:, were active as 1827: 1826: 1812: 1764: 1716: 1668: 1620: 1532: 1505: 1472: 1471: 1457: 1409: 1361: 1313: 1265: 1123: 1122: 1108: 1063: 1018: 978:{\displaystyle 0} 788:Different weapons 574:Washington Herald 484:The most popular 257:, it is known as 240:Western Australia 103: 102: 16:(Redirected from 7373: 7341:Children's games 7310:Topological game 7305:No-win situation 7203:Thomas Schelling 7183:Robert B. Wilson 7143:Merrill M. Flood 7113:John von Neumann 7023:Ariel Rubinstein 7008:Albert W. Tucker 6859:War of attrition 6819:Matching pennies 6460:Nash equilibrium 6383:Mechanism design 6348:Normal-form game 6303:Cooperative game 6276: 6269: 6262: 6253: 6252: 6120: 6113: 6106: 6097: 6096: 6092: 6090: 6089: 6045: 6043: 6042: 6025: 6023: 6022: 5983: 5981: 5970: 5969: 5960: 5950: 5948: 5943: 5896: 5883: 5873: 5848: 5837:10.1038/380240a0 5809: 5762: 5701: 5676:(2–3): 176–186. 5666:Uta stansburiana 5650: 5649: 5647: 5646: 5626: 5620: 5619: 5617: 5616: 5597: 5591: 5590: 5588: 5587: 5578:. Archived from 5572: 5566: 5565: 5563: 5562: 5549:Craig, Michael. 5546: 5540: 5539: 5537: 5536: 5521: 5515: 5514: 5512: 5511: 5495: 5489: 5488: 5486: 5485: 5470:"Where's Annie?" 5466: 5460: 5459: 5457: 5456: 5436: 5430: 5429: 5427: 5426: 5407: 5401: 5400: 5398: 5396: 5381: 5375: 5374: 5372: 5371: 5356: 5350: 5349: 5347: 5345: 5326: 5320: 5319: 5317: 5316: 5307:. Archived from 5301: 5295: 5294: 5288: 5280: 5278: 5276: 5260: 5254: 5253: 5251: 5250: 5239: 5233: 5232: 5230: 5229: 5213: 5207: 5206: 5204: 5203: 5184: 5178: 5177: 5175: 5174: 5165:. Archived from 5154: 5148: 5147: 5145: 5144: 5125: 5119: 5118: 5116: 5115: 5096: 5090: 5089: 5087: 5086: 5063: 5057: 5056: 5054: 5053: 5031: 5025: 5024: 5022: 5021: 5006: 5000: 4999: 4997: 4996: 4977: 4971: 4970: 4968: 4967: 4948: 4942: 4941: 4939: 4938: 4923:"Playing to Win" 4919: 4913: 4912: 4910: 4909: 4889: 4883: 4882: 4880: 4878: 4863: 4857: 4856: 4838: 4832: 4831: 4829: 4827: 4808: 4802: 4801: 4799: 4797: 4775: 4769: 4768: 4766: 4764: 4742: 4736: 4723: 4717: 4716: 4714: 4713: 4697: 4691: 4690: 4688: 4687: 4659: 4653: 4652: 4650: 4649: 4630: 4624: 4623: 4621: 4619: 4610:. 19 June 2013. 4604: 4598: 4597: 4563: 4543: 4537: 4536: 4511:(6): E162–E173. 4500: 4494: 4493: 4483: 4451: 4445: 4444: 4410: 4390: 4384: 4383: 4339: 4333: 4332: 4322: 4312: 4297:BMC Microbiology 4288: 4282: 4281: 4237: 4231: 4230: 4224: 4216: 4214: 4213: 4194: 4188: 4187: 4185: 4184: 4175:. Archived from 4165: 4159: 4158: 4116: 4110: 4109: 4107: 4105: 4099: 4093:. Archived from 4079: 4073: 4072: 4069: 4067: 4066: 4047: 4041: 4040: 4038: 4037: 4021: 4015: 4014: 4012: 4011: 3993: 3987: 3986: 3984: 3983: 3968: 3962: 3961: 3943: 3934: 3933: 3931: 3930: 3910: 3899: 3897: 3879: 3873: 3872: 3870: 3858: 3852: 3851: 3849: 3848: 3827: 3821: 3820: 3818: 3816: 3807:. 4 April 2008. 3801: 3795: 3794: 3792: 3790: 3781:. Archived from 3771: 3765: 3764: 3762: 3760: 3745: 3739: 3738: 3736: 3735: 3729: 3710: 3704: 3703: 3679: 3673: 3672: 3670: 3669: 3650: 3644: 3643: 3641: 3640: 3621: 3615: 3614: 3612: 3610: 3601:. Archived from 3591: 3585: 3584: 3573: 3567: 3566: 3564: 3563: 3547: 3541: 3540: 3538: 3537: 3521: 3515: 3514: 3512: 3511: 3502:. Archived from 3495: 3489: 3469: 3463: 3445:Steve Vockrodt, 3443: 3437: 3436: 3434: 3433: 3418: 3409: 3408: 3406: 3405: 3390: 3379: 3378: 3376: 3375: 3355: 3349: 3348: 3346: 3344: 3324: 3318: 3317: 3315: 3314: 3298: 3287: 3281: 3275: 3268: 3262: 3260: 3254: 3249: 3247: 3239: 3235: 3229: 3219: 3213: 3203: 3197: 3187: 3181: 3179: 3173: 3168: 3166: 3158: 3154: 3148: 3146: 3140: 3135: 3133: 3125: 3114: 3108: 3107: 3099: 3093: 3092: 3084: 3078: 3066: 3060: 3059: 3051: 3045: 3044: 3026: 3020: 3019: 2995: 2989: 2988: 2970: 2964: 2963: 2945: 2930: 2929: 2909: 2894: 2893: 2875: 2869: 2868: 2866: 2865: 2850: 2844: 2843: 2841: 2839: 2818: 2812: 2811: 2797: 2791: 2790: 2788: 2787: 2772: 2766: 2765: 2763: 2761: 2742: 2736: 2735: 2733: 2731: 2711: 2705: 2704: 2702: 2700: 2681: 2675: 2674: 2672: 2671: 2654: 2648: 2647: 2645: 2644: 2622: 2616: 2615: 2613: 2612: 2603:. Archived from 2597: 2591: 2590: 2588: 2586: 2567: 2558: 2557: 2555: 2553: 2531: 2522: 2521: 2519: 2518: 2492: 2481: 2480: 2478: 2476: 2457: 2451: 2450: 2434: 2424: 2418: 2417: 2401: 2391: 2343:Matching pennies 2332: 2327: 2326: 2235:Des Moines, Iowa 2192:is sponsored by 2173:UK championships 2165:(later known as 1995:Vincent van Gogh 1927:Gregory Presnell 1883:Escherichia coli 1871:Brendan Bohannan 1851:Uta stansburiana 1823: 1821: 1820: 1815: 1813: 1805: 1775: 1773: 1772: 1767: 1765: 1757: 1727: 1725: 1724: 1719: 1717: 1709: 1679: 1677: 1676: 1671: 1669: 1661: 1631: 1629: 1628: 1623: 1621: 1613: 1581:Optimal strategy 1552: 1546: 1543: 1541: 1540: 1535: 1533: 1525: 1517:of the time and 1516: 1514: 1513: 1508: 1506: 1498: 1468: 1466: 1465: 1460: 1458: 1450: 1420: 1418: 1417: 1412: 1410: 1402: 1372: 1370: 1369: 1364: 1362: 1354: 1324: 1322: 1321: 1316: 1314: 1306: 1276: 1274: 1273: 1268: 1266: 1258: 1226:Optimal strategy 1197: 1191: 1176:of the American 1150: 1149: 1119: 1117: 1116: 1111: 1109: 1101: 1074: 1072: 1071: 1066: 1064: 1056: 1029: 1027: 1026: 1021: 1019: 1011: 984: 982: 981: 976: 918: 912: 902:The French game 893: 535: 533: 532: 384: 381: 377: 361: 316: 307: 298: 278: 275: 272: 269: 266: 262: 170:Count Rochambeau 57: 50: 46: 21: 7381: 7380: 7376: 7375: 7374: 7372: 7371: 7370: 7346:Games of chance 7326: 7325: 7324: 7319: 7253: 7239:max^n algorithm 7212: 7208:William Vickrey 7168:Reinhard Selten 7123:Kenneth Binmore 7038:David K. Levine 7033:Daniel Kahneman 7000: 6994: 6970:Negamax theorem 6960:Minimax theorem 6938: 6899:Diner's dilemma 6754:All-pay auction 6720: 6706:Stochastic game 6658:Mean-field game 6629: 6622: 6593:Markov strategy 6529: 6395: 6387: 6358:Sequential game 6343:Information set 6328:Game complexity 6298:Congestion game 6286: 6280: 6250: 6245: 6224: 6203:Finger-counting 6198: 6155: 6129: 6124: 6087: 6085: 6071:Wayback Machine 6040: 6038: 6020: 6018: 5997: 5996: 5985: 5979: 5977: 5974:This audio file 5971: 5964: 5955: 5952: 5946: 5945: 5941: 5938: 5933: 5921:Wayback Machine 5908:Wayback Machine 5891:(in Japanese). 5654: 5653: 5644: 5642: 5627: 5623: 5614: 5612: 5599: 5598: 5594: 5585: 5583: 5574: 5573: 5569: 5560: 5558: 5547: 5543: 5534: 5532: 5523: 5522: 5518: 5509: 5507: 5496: 5492: 5483: 5481: 5468: 5467: 5463: 5454: 5452: 5437: 5433: 5424: 5422: 5409: 5408: 5404: 5394: 5392: 5383: 5382: 5378: 5369: 5367: 5358: 5357: 5353: 5343: 5341: 5328: 5327: 5323: 5314: 5312: 5303: 5302: 5298: 5282: 5281: 5274: 5272: 5261: 5257: 5248: 5246: 5241: 5240: 5236: 5227: 5225: 5214: 5210: 5201: 5199: 5186: 5185: 5181: 5172: 5170: 5155: 5151: 5142: 5140: 5127: 5126: 5122: 5113: 5111: 5098: 5097: 5093: 5084: 5082: 5065: 5064: 5060: 5051: 5049: 5032: 5028: 5019: 5017: 5008: 5007: 5003: 4994: 4992: 4979: 4978: 4974: 4965: 4963: 4950: 4949: 4945: 4936: 4934: 4921: 4920: 4916: 4907: 4905: 4890: 4886: 4876: 4874: 4873:on 4 March 2018 4865: 4864: 4860: 4853: 4839: 4835: 4825: 4823: 4810: 4809: 4805: 4795: 4793: 4776: 4772: 4762: 4760: 4743: 4739: 4733:Wayback Machine 4724: 4720: 4711: 4709: 4698: 4694: 4685: 4683: 4660: 4656: 4647: 4645: 4632: 4631: 4627: 4617: 4615: 4606: 4605: 4601: 4544: 4540: 4501: 4497: 4452: 4448: 4391: 4387: 4340: 4336: 4289: 4285: 4238: 4234: 4218: 4217: 4211: 4209: 4195: 4191: 4182: 4180: 4166: 4162: 4147: 4117: 4113: 4103: 4101: 4100:on 30 July 2018 4097: 4080: 4076: 4070: 4064: 4062: 4049: 4048: 4044: 4035: 4033: 4022: 4018: 4009: 4007: 3994: 3990: 3981: 3979: 3970: 3969: 3965: 3958: 3944: 3937: 3928: 3926: 3911: 3902: 3880: 3876: 3859: 3855: 3846: 3844: 3829: 3828: 3824: 3814: 3812: 3803: 3802: 3798: 3788: 3786: 3773: 3772: 3768: 3758: 3756: 3747: 3746: 3742: 3733: 3731: 3711: 3707: 3700: 3680: 3676: 3667: 3665: 3652: 3651: 3647: 3638: 3636: 3623: 3622: 3618: 3608: 3606: 3593: 3592: 3588: 3575: 3574: 3570: 3561: 3559: 3548: 3544: 3535: 3533: 3522: 3518: 3509: 3507: 3496: 3492: 3480:Wayback Machine 3470: 3466: 3454:Wayback Machine 3444: 3440: 3431: 3429: 3420: 3419: 3412: 3403: 3401: 3392: 3391: 3382: 3373: 3371: 3356: 3352: 3342: 3340: 3325: 3321: 3312: 3310: 3299: 3290: 3282: 3278: 3269: 3265: 3252: 3250: 3241: 3240: 3237: 3236: 3232: 3220: 3216: 3204: 3200: 3188: 3184: 3171: 3169: 3160: 3159: 3156: 3155: 3151: 3138: 3136: 3127: 3126: 3123: 3115: 3111: 3101: 3100: 3096: 3085: 3081: 3076:Wayback Machine 3067: 3063: 3052: 3048: 3041: 3031:Ken no bunkashi 3027: 3023: 3016: 2996: 2992: 2985: 2971: 2967: 2960: 2946: 2933: 2910: 2897: 2890: 2876: 2872: 2863: 2861: 2852: 2851: 2847: 2837: 2835: 2830:. 14 May 2022. 2820: 2819: 2815: 2798: 2794: 2785: 2783: 2774: 2773: 2769: 2759: 2757: 2750:www.wikihow.com 2744: 2743: 2739: 2729: 2727: 2720:news.bbc.co.uk/ 2712: 2708: 2698: 2696: 2691:. 17 May 2023. 2683: 2682: 2678: 2669: 2667: 2655: 2651: 2642: 2640: 2623: 2619: 2610: 2608: 2599: 2598: 2594: 2584: 2582: 2569: 2568: 2561: 2551: 2549: 2532: 2525: 2516: 2514: 2493: 2484: 2474: 2472: 2459: 2458: 2454: 2447: 2425: 2421: 2414: 2392: 2388: 2378: 2328: 2321: 2318: 2300: 2283:. Poker player 2277:WSOP Main Event 2261: 2245: 2230: 2209:A&E Network 2187: 2175: 2158: 2150: 2134: 2067: 2055: 2031: 1957: 1923: 1918: 1900: 1859: 1843: 1837: 1832: 1804: 1802: 1799: 1798: 1756: 1754: 1751: 1750: 1708: 1706: 1703: 1702: 1660: 1658: 1655: 1654: 1612: 1610: 1607: 1606: 1583:for row player 1582: 1563: 1561: 1559: 1557: 1549: 1524: 1522: 1519: 1518: 1497: 1495: 1492: 1491: 1449: 1447: 1444: 1443: 1401: 1399: 1396: 1395: 1353: 1351: 1348: 1347: 1305: 1303: 1300: 1299: 1257: 1255: 1252: 1251: 1228:for row player 1227: 1208: 1206: 1204: 1202: 1194: 1147: 1146: 1100: 1098: 1095: 1094: 1055: 1053: 1050: 1049: 1010: 1008: 1005: 1004: 970: 967: 966: 946:the row player 945: 929: 927: 925: 923: 915: 889: 869: 832:" (scissors), " 790: 732: 711: 704: 680: 640: 555: 527: 371: 355: 348: 343: 326: 325: 324: 323: 319: 318: 317: 309: 308: 300: 299: 288: 276: 273: 270: 267: 236:South Australia 228:New South Wales 186: 163: 45: 35: 28: 23: 22: 15: 12: 11: 5: 7379: 7369: 7368: 7363: 7358: 7353: 7348: 7343: 7338: 7321: 7320: 7318: 7317: 7312: 7307: 7302: 7297: 7292: 7287: 7282: 7277: 7272: 7267: 7261: 7259: 7255: 7254: 7252: 7251: 7246: 7241: 7236: 7231: 7226: 7220: 7218: 7214: 7213: 7211: 7210: 7205: 7200: 7195: 7190: 7185: 7180: 7175: 7173:Robert Axelrod 7170: 7165: 7160: 7155: 7150: 7148:Olga Bondareva 7145: 7140: 7138:Melvin Dresher 7135: 7130: 7128:Leonid Hurwicz 7125: 7120: 7115: 7110: 7105: 7100: 7095: 7090: 7085: 7080: 7075: 7070: 7065: 7063:Harold W. Kuhn 7060: 7055: 7053:Drew Fudenberg 7050: 7045: 7043:David M. Kreps 7040: 7035: 7030: 7028:Claude Shannon 7025: 7020: 7015: 7010: 7004: 7002: 6996: 6995: 6993: 6992: 6987: 6982: 6977: 6972: 6967: 6965:Nash's theorem 6962: 6957: 6952: 6946: 6944: 6940: 6939: 6937: 6936: 6931: 6926: 6921: 6916: 6911: 6906: 6901: 6896: 6891: 6886: 6881: 6876: 6871: 6866: 6861: 6856: 6851: 6846: 6841: 6836: 6831: 6826: 6824:Ultimatum game 6821: 6816: 6811: 6806: 6804:Dollar auction 6801: 6796: 6791: 6789:Centipede game 6786: 6781: 6776: 6771: 6766: 6761: 6756: 6751: 6746: 6744:Infinite chess 6741: 6736: 6730: 6728: 6722: 6721: 6719: 6718: 6713: 6711:Symmetric game 6708: 6703: 6698: 6696:Signaling game 6693: 6691:Screening game 6688: 6683: 6681:Potential game 6678: 6673: 6668: 6660: 6655: 6650: 6645: 6640: 6634: 6632: 6624: 6623: 6621: 6620: 6615: 6610: 6608:Mixed strategy 6605: 6600: 6595: 6590: 6585: 6580: 6575: 6570: 6565: 6560: 6555: 6550: 6545: 6539: 6537: 6531: 6530: 6528: 6527: 6522: 6517: 6512: 6507: 6502: 6497: 6492: 6490:Risk dominance 6487: 6482: 6477: 6472: 6467: 6462: 6457: 6452: 6447: 6442: 6437: 6432: 6427: 6422: 6417: 6412: 6407: 6401: 6399: 6389: 6388: 6386: 6385: 6380: 6375: 6370: 6365: 6360: 6355: 6350: 6345: 6340: 6335: 6333:Graphical game 6330: 6325: 6320: 6315: 6310: 6305: 6300: 6294: 6292: 6288: 6287: 6279: 6278: 6271: 6264: 6256: 6247: 6246: 6244: 6243: 6238: 6232: 6230: 6226: 6225: 6223: 6222: 6220:Odds and evens 6217: 6212: 6206: 6204: 6200: 6199: 6197: 6196: 6191: 6186: 6181: 6176: 6171: 6169:Down Down Baby 6165: 6163: 6161:Clapping games 6157: 6156: 6154: 6153: 6148: 6143: 6137: 6135: 6131: 6130: 6123: 6122: 6115: 6108: 6100: 6094: 6093: 6073: 6061: 6056: 6051: 6046: 6026: 5986: 5972: 5965: 5953: 5940: 5939: 5937: 5936:External links 5934: 5932: 5931: 5924: 5897: 5889:Monthly Sinica 5884: 5864:(2): 198–205. 5849: 5810: 5763: 5730: 5719: 5709: 5702: 5660: 5652: 5651: 5621: 5592: 5567: 5541: 5516: 5502:. Poker News. 5490: 5476:. 2006-08-05. 5461: 5431: 5415:USARPS Leagues 5402: 5376: 5351: 5340:on 31 May 2009 5321: 5296: 5255: 5234: 5208: 5179: 5149: 5120: 5106:. 2003-10-23. 5091: 5077:. 2003-10-24. 5058: 5026: 5012:. 2016-08-04. 5001: 4972: 4958:. 2021-02-09. 4943: 4929:. 2021-01-08. 4914: 4884: 4858: 4851: 4833: 4803: 4770: 4737: 4718: 4692: 4654: 4625: 4599: 4538: 4517:10.1086/662668 4495: 4446: 4385: 4334: 4283: 4232: 4189: 4171:(2001-02-20). 4169:Sinervo, Barry 4160: 4145: 4111: 4074: 4061:on 31 May 2010 4042: 4016: 3988: 3963: 3956: 3935: 3900: 3874: 3853: 3822: 3796: 3766: 3740: 3716:(2020-03-10). 3705: 3698: 3674: 3645: 3631:. 2011-06-25. 3616: 3586: 3568: 3542: 3516: 3490: 3464: 3438: 3410: 3380: 3350: 3319: 3301:Knoll, Byron. 3288: 3276: 3263: 3253:|journal= 3230: 3214: 3198: 3190:Gerard Fairlie 3182: 3172:|journal= 3149: 3139:|journal= 3109: 3094: 3079: 3061: 3046: 3039: 3021: 3014: 2990: 2983: 2965: 2958: 2931: 2895: 2888: 2870: 2845: 2813: 2792: 2767: 2737: 2706: 2676: 2649: 2617: 2592: 2559: 2523: 2482: 2467:. 2 May 2014. 2452: 2445: 2419: 2412: 2385: 2384: 2377: 2374: 2373: 2372: 2370:Mixed strategy 2367: 2362: 2357: 2352: 2346: 2340: 2334: 2333: 2317: 2314: 2299: 2293:Jackpot En Poy 2290: 2260: 2257: 2244: 2239: 2229: 2226: 2205:House of Blues 2186: 2183: 2174: 2171: 2163:Fox Sports Net 2157: 2154: 2149: 2146: 2133: 2130: 2066: 2063: 2054: 2051: 2030: 2027: 2023:game of chance 1956: 1953: 1922: 1919: 1917: 1914: 1899: 1896: 1858: 1855: 1839:Main article: 1836: 1833: 1831: 1828: 1825: 1824: 1811: 1808: 1796: 1793: 1790: 1787: 1784: 1781: 1777: 1776: 1763: 1760: 1748: 1745: 1742: 1739: 1736: 1733: 1729: 1728: 1715: 1712: 1700: 1697: 1694: 1691: 1688: 1685: 1681: 1680: 1667: 1664: 1652: 1649: 1646: 1643: 1640: 1637: 1633: 1632: 1619: 1616: 1604: 1601: 1598: 1595: 1592: 1589: 1585: 1584: 1579: 1576: 1573: 1570: 1567: 1564: 1558: 1555: 1531: 1528: 1504: 1501: 1470: 1469: 1456: 1453: 1441: 1438: 1435: 1432: 1429: 1426: 1422: 1421: 1408: 1405: 1393: 1390: 1387: 1384: 1381: 1378: 1374: 1373: 1360: 1357: 1345: 1342: 1339: 1336: 1333: 1330: 1326: 1325: 1312: 1309: 1297: 1294: 1291: 1288: 1285: 1282: 1278: 1277: 1264: 1261: 1249: 1246: 1243: 1240: 1237: 1234: 1230: 1229: 1224: 1221: 1218: 1215: 1212: 1209: 1203: 1200: 1121: 1120: 1107: 1104: 1092: 1089: 1086: 1083: 1080: 1076: 1075: 1062: 1059: 1047: 1044: 1041: 1038: 1035: 1031: 1030: 1017: 1014: 1002: 999: 996: 993: 990: 986: 985: 974: 964: 961: 958: 955: 952: 948: 947: 942: 939: 936: 933: 930: 924: 921: 900: 899: 873:oriented graph 868: 865: 836:" (rock) and " 789: 786: 767:Soft On Demand 731: 728: 719:Kikukawa Eizan 703: 700: 679: 676: 639: 636: 621:New York Times 595:Campfire Girls 586:, followed by 554: 551: 347: 344: 342: 339: 321: 320: 311: 310: 302: 301: 293: 292: 291: 290: 289: 287: 284: 217:United Kingdom 185: 182: 162: 159: 149:, or throwing 147:drawing straws 101: 100: 97: 93: 92: 89: 85: 84: 81: 77: 76: 73: 69: 68: 63: 59: 58: 26: 9: 6: 4: 3: 2: 7378: 7367: 7364: 7362: 7359: 7357: 7356:Chinese games 7354: 7352: 7349: 7347: 7344: 7342: 7339: 7337: 7334: 7333: 7331: 7316: 7313: 7311: 7308: 7306: 7303: 7301: 7298: 7296: 7293: 7291: 7288: 7286: 7283: 7281: 7278: 7276: 7273: 7271: 7268: 7266: 7263: 7262: 7260: 7258:Miscellaneous 7256: 7250: 7247: 7245: 7242: 7240: 7237: 7235: 7232: 7230: 7227: 7225: 7222: 7221: 7219: 7215: 7209: 7206: 7204: 7201: 7199: 7196: 7194: 7193:Samuel Bowles 7191: 7189: 7188:Roger Myerson 7186: 7184: 7181: 7179: 7178:Robert Aumann 7176: 7174: 7171: 7169: 7166: 7164: 7161: 7159: 7156: 7154: 7151: 7149: 7146: 7144: 7141: 7139: 7136: 7134: 7133:Lloyd Shapley 7131: 7129: 7126: 7124: 7121: 7119: 7118:Kenneth Arrow 7116: 7114: 7111: 7109: 7106: 7104: 7101: 7099: 7098:John Harsanyi 7096: 7094: 7091: 7089: 7086: 7084: 7081: 7079: 7076: 7074: 7071: 7069: 7068:Herbert Simon 7066: 7064: 7061: 7059: 7056: 7054: 7051: 7049: 7046: 7044: 7041: 7039: 7036: 7034: 7031: 7029: 7026: 7024: 7021: 7019: 7016: 7014: 7011: 7009: 7006: 7005: 7003: 6997: 6991: 6988: 6986: 6983: 6981: 6978: 6976: 6973: 6971: 6968: 6966: 6963: 6961: 6958: 6956: 6953: 6951: 6948: 6947: 6945: 6941: 6935: 6932: 6930: 6927: 6925: 6922: 6920: 6917: 6915: 6912: 6910: 6907: 6905: 6902: 6900: 6897: 6895: 6892: 6890: 6887: 6885: 6882: 6880: 6877: 6875: 6872: 6870: 6869:Fair division 6867: 6865: 6862: 6860: 6857: 6855: 6852: 6850: 6847: 6845: 6844:Dictator game 6842: 6840: 6837: 6835: 6832: 6830: 6827: 6825: 6822: 6820: 6817: 6815: 6812: 6810: 6807: 6805: 6802: 6800: 6797: 6795: 6792: 6790: 6787: 6785: 6782: 6780: 6777: 6775: 6772: 6770: 6767: 6765: 6762: 6760: 6757: 6755: 6752: 6750: 6747: 6745: 6742: 6740: 6737: 6735: 6732: 6731: 6729: 6727: 6723: 6717: 6716:Zero-sum game 6714: 6712: 6709: 6707: 6704: 6702: 6699: 6697: 6694: 6692: 6689: 6687: 6686:Repeated game 6684: 6682: 6679: 6677: 6674: 6672: 6669: 6667: 6665: 6661: 6659: 6656: 6654: 6651: 6649: 6646: 6644: 6641: 6639: 6636: 6635: 6633: 6631: 6625: 6619: 6616: 6614: 6611: 6609: 6606: 6604: 6603:Pure strategy 6601: 6599: 6596: 6594: 6591: 6589: 6586: 6584: 6581: 6579: 6576: 6574: 6571: 6569: 6568:De-escalation 6566: 6564: 6561: 6559: 6556: 6554: 6551: 6549: 6546: 6544: 6541: 6540: 6538: 6536: 6532: 6526: 6523: 6521: 6518: 6516: 6513: 6511: 6510:Shapley value 6508: 6506: 6503: 6501: 6498: 6496: 6493: 6491: 6488: 6486: 6483: 6481: 6478: 6476: 6473: 6471: 6468: 6466: 6463: 6461: 6458: 6456: 6453: 6451: 6448: 6446: 6443: 6441: 6438: 6436: 6433: 6431: 6428: 6426: 6423: 6421: 6418: 6416: 6413: 6411: 6408: 6406: 6403: 6402: 6400: 6398: 6394: 6390: 6384: 6381: 6379: 6378:Succinct game 6376: 6374: 6371: 6369: 6366: 6364: 6361: 6359: 6356: 6354: 6351: 6349: 6346: 6344: 6341: 6339: 6336: 6334: 6331: 6329: 6326: 6324: 6321: 6319: 6316: 6314: 6311: 6309: 6306: 6304: 6301: 6299: 6296: 6295: 6293: 6289: 6285: 6277: 6272: 6270: 6265: 6263: 6258: 6257: 6254: 6242: 6239: 6237: 6234: 6233: 6231: 6227: 6221: 6218: 6216: 6213: 6211: 6208: 6207: 6205: 6201: 6195: 6192: 6190: 6187: 6185: 6182: 6180: 6177: 6175: 6172: 6170: 6167: 6166: 6164: 6162: 6158: 6152: 6149: 6147: 6144: 6142: 6139: 6138: 6136: 6132: 6128: 6121: 6116: 6114: 6109: 6107: 6102: 6101: 6098: 6083: 6079: 6074: 6072: 6068: 6065: 6062: 6060: 6057: 6055: 6052: 6050: 6047: 6037:on 2012-04-23 6036: 6032: 6027: 6017:on 2007-12-17 6016: 6012: 6008: 6004: 5999: 5998: 5994: 5990: 5975: 5929: 5925: 5923: 5922: 5918: 5915: 5909: 5905: 5902: 5898: 5894: 5890: 5885: 5881: 5877: 5872: 5867: 5863: 5859: 5855: 5850: 5846: 5842: 5838: 5834: 5830: 5826: 5822: 5818: 5817: 5811: 5807: 5803: 5799: 5795: 5791: 5787: 5783: 5779: 5775: 5771: 5770: 5764: 5760: 5756: 5752: 5748: 5744: 5740: 5736: 5731: 5727: 5723: 5720: 5717: 5714:(1894, 1898) 5713: 5710: 5707: 5703: 5699: 5695: 5691: 5687: 5683: 5679: 5675: 5671: 5667: 5662: 5661: 5659: 5658: 5640: 5636: 5632: 5625: 5610: 5606: 5602: 5596: 5582:on 2017-03-06 5581: 5577: 5571: 5557:on 2009-08-05 5556: 5552: 5545: 5531:on 2009-08-05 5530: 5526: 5520: 5505: 5501: 5494: 5479: 5475: 5471: 5465: 5450: 5446: 5442: 5435: 5421:on 2011-07-17 5420: 5416: 5412: 5406: 5390: 5386: 5380: 5366:on 2012-05-15 5365: 5361: 5355: 5339: 5335: 5331: 5325: 5310: 5306: 5300: 5292: 5286: 5270: 5266: 5259: 5244: 5238: 5223: 5219: 5212: 5198:on 2006-03-15 5197: 5193: 5189: 5183: 5169:on 2012-10-21 5168: 5164: 5160: 5153: 5138: 5134: 5130: 5124: 5109: 5105: 5101: 5095: 5080: 5076: 5072: 5068: 5062: 5047: 5043: 5042: 5037: 5030: 5015: 5011: 5005: 4990: 4986: 4982: 4976: 4961: 4957: 4956:Time for Kids 4953: 4952:"Play to Win" 4947: 4932: 4928: 4927:Time for Kids 4924: 4918: 4903: 4899: 4895: 4888: 4872: 4868: 4862: 4854: 4848: 4844: 4837: 4821: 4817: 4813: 4807: 4791: 4787: 4786: 4781: 4774: 4758: 4754: 4753: 4748: 4741: 4734: 4730: 4727: 4722: 4707: 4703: 4696: 4681: 4677: 4673: 4669: 4665: 4658: 4643: 4639: 4635: 4629: 4613: 4609: 4603: 4595: 4591: 4587: 4583: 4579: 4575: 4571: 4567: 4562: 4557: 4554:(2): 021912. 4553: 4549: 4542: 4534: 4530: 4526: 4522: 4518: 4514: 4510: 4506: 4499: 4491: 4487: 4482: 4477: 4473: 4469: 4465: 4461: 4457: 4450: 4442: 4438: 4434: 4430: 4426: 4422: 4418: 4414: 4409: 4404: 4401:(1): 011914. 4400: 4396: 4389: 4381: 4377: 4373: 4369: 4365: 4361: 4357: 4353: 4349: 4345: 4338: 4330: 4326: 4321: 4316: 4311: 4306: 4302: 4298: 4294: 4287: 4279: 4275: 4271: 4267: 4263: 4259: 4255: 4251: 4247: 4243: 4236: 4228: 4222: 4207: 4203: 4199: 4193: 4179:on 2019-02-11 4178: 4174: 4170: 4164: 4156: 4152: 4148: 4142: 4138: 4134: 4130: 4126: 4122: 4115: 4096: 4092: 4088: 4084: 4078: 4060: 4056: 4052: 4046: 4031: 4027: 4020: 4005: 4001: 3998: 3992: 3977: 3973: 3967: 3959: 3953: 3949: 3942: 3940: 3924: 3920: 3916: 3909: 3907: 3905: 3896: 3892: 3888: 3884: 3883:Harary, Frank 3878: 3869: 3864: 3857: 3842: 3838: 3837: 3832: 3826: 3810: 3806: 3800: 3784: 3780: 3776: 3770: 3754: 3750: 3744: 3730:on 2022-02-26 3728: 3723: 3719: 3715: 3709: 3701: 3699:0-7432-6751-6 3695: 3691: 3687: 3686: 3678: 3664:on 2021-11-25 3663: 3659: 3655: 3649: 3634: 3630: 3626: 3620: 3604: 3600: 3596: 3590: 3582: 3578: 3572: 3557: 3553: 3546: 3531: 3527: 3520: 3506:on 2011-07-23 3505: 3501: 3494: 3487: 3486: 3481: 3477: 3474: 3468: 3461: 3460: 3455: 3451: 3448: 3442: 3428:on 2011-08-07 3427: 3423: 3417: 3415: 3400:on 2011-08-10 3399: 3395: 3389: 3387: 3385: 3369: 3365: 3361: 3354: 3338: 3334: 3330: 3323: 3308: 3304: 3297: 3295: 3293: 3285: 3280: 3273: 3267: 3258: 3245: 3234: 3227: 3223: 3218: 3211: 3207: 3202: 3195: 3191: 3186: 3177: 3164: 3153: 3144: 3131: 3121: 3120: 3113: 3105: 3098: 3090: 3083: 3077: 3073: 3070: 3065: 3057: 3050: 3042: 3040:4-04-702103-2 3036: 3032: 3025: 3017: 3015:9780804820561 3011: 3007: 3003: 3002: 2994: 2986: 2984:9780791437919 2980: 2976: 2969: 2961: 2959:9780415116633 2955: 2951: 2944: 2942: 2940: 2938: 2936: 2927: 2923: 2919: 2915: 2908: 2906: 2904: 2902: 2900: 2891: 2885: 2881: 2874: 2859: 2855: 2849: 2833: 2829: 2828: 2823: 2817: 2809: 2808: 2803: 2796: 2781: 2777: 2771: 2755: 2751: 2747: 2741: 2725: 2721: 2717: 2710: 2694: 2690: 2686: 2680: 2666: 2665: 2660: 2653: 2638: 2634: 2633: 2628: 2621: 2607:on 2012-01-14 2606: 2602: 2601:"Game Basics" 2596: 2580: 2576: 2572: 2566: 2564: 2547: 2543: 2542: 2537: 2530: 2528: 2512: 2508: 2504: 2500: 2499: 2491: 2489: 2487: 2470: 2466: 2462: 2456: 2448: 2446:9780786726936 2442: 2438: 2433: 2432: 2423: 2415: 2413:9780786726936 2409: 2405: 2400: 2399: 2390: 2386: 2383: 2382: 2371: 2368: 2366: 2363: 2361: 2358: 2356: 2353: 2350: 2347: 2344: 2341: 2339: 2336: 2335: 2331: 2325: 2320: 2313: 2311: 2307: 2306: 2298: 2294: 2289: 2286: 2282: 2278: 2274: 2270: 2266: 2256: 2254: 2250: 2243: 2238: 2236: 2225: 2223: 2218: 2215: 2212: 2210: 2206: 2202: 2197: 2195: 2191: 2182: 2180: 2170: 2168: 2164: 2153: 2145: 2138: 2129: 2127: 2122: 2120: 2119: 2113: 2112: 2107: 2106: 2101: 2100: 2095: 2094: 2089: 2084: 2082: 2081: 2075: 2073: 2062: 2060: 2050: 2048: 2044: 2040: 2036: 2026: 2024: 2018: 2014: 2012: 2009: 2004: 2000: 1996: 1992: 1991:Pablo Picasso 1988: 1984: 1983:Impressionist 1980: 1979:Maspro Denkoh 1972: 1968: 1965: 1961: 1951: 1948: 1947:Gordian knots 1942: 1940: 1936: 1932: 1928: 1913: 1911: 1910: 1905: 1895: 1892: 1887: 1884: 1880: 1876: 1873:. Additional 1872: 1868: 1864: 1854: 1852: 1848: 1842: 1809: 1806: 1797: 1794: 1791: 1788: 1785: 1782: 1778: 1761: 1758: 1749: 1746: 1743: 1740: 1737: 1734: 1730: 1713: 1710: 1701: 1698: 1695: 1692: 1689: 1686: 1682: 1665: 1662: 1653: 1650: 1647: 1644: 1641: 1638: 1634: 1617: 1614: 1605: 1602: 1599: 1596: 1593: 1590: 1586: 1577: 1574: 1571: 1568: 1565: 1554: 1553: 1545: 1529: 1526: 1502: 1499: 1489: 1485: 1476: 1454: 1451: 1442: 1439: 1436: 1433: 1430: 1427: 1423: 1406: 1403: 1394: 1391: 1388: 1385: 1382: 1379: 1375: 1358: 1355: 1346: 1343: 1340: 1337: 1334: 1331: 1327: 1310: 1307: 1298: 1295: 1292: 1289: 1286: 1283: 1279: 1262: 1259: 1250: 1247: 1244: 1241: 1238: 1235: 1231: 1222: 1219: 1216: 1213: 1210: 1199: 1198: 1190: 1188: 1184: 1183: 1179: 1175: 1171: 1170: 1165: 1164:Vulcan salute 1162: 1158: 1154: 1139: 1135: 1133: 1129: 1105: 1102: 1093: 1090: 1087: 1084: 1081: 1077: 1060: 1057: 1048: 1045: 1042: 1039: 1036: 1032: 1015: 1012: 1003: 1000: 997: 994: 991: 987: 972: 965: 962: 959: 956: 953: 949: 940: 937: 934: 931: 920: 919: 911: 909: 905: 897: 892: 887: 886: 885: 883: 878: 874: 864: 862: 856: 854: 850: 846: 841: 839: 835: 831: 827: 823: 819: 815: 811: 807: 803: 799: 794: 785: 781: 779: 775: 770: 768: 764: 763: 758: 753: 751: 747: 743: 742: 737: 730:Adapted rules 727: 720: 715: 709: 699: 697: 693: 688: 686: 685:Markov chains 675: 671: 667: 665: 661: 652: 644: 635: 632: 631: 626: 622: 617: 615: 611: 606: 604: 600: 596: 591: 589: 585: 580: 576: 575: 570: 569: 564: 559: 550: 548: 544: 539: 526: 522: 521:sansukumi-ken 513: 509: 507: 503: 499: 495: 491: 487: 486:sansukumi-ken 482: 480: 477: 473: 468: 464: 460: 459:sansukumi-ken 457:The earliest 455: 453: 449: 448: 447:sansukumi-ken 439: 438:sansukumi-ken 434: 430: 428: 424: 420: 416: 412: 408: 404: 400: 396: 392: 388: 375: 370: 366: 362: 359: 354: 338: 336: 335:New York City 332: 315: 306: 297: 283: 280: 261: 256: 252: 247: 245: 241: 237: 233: 229: 225: 220: 218: 214: 213:North America 209: 207: 203: 202:Bato Bato Pik 199: 195: 191: 181: 179: 175: 171: 166: 158: 156: 152: 148: 144: 143:coin flipping 139: 137: 136:zero-sum game 133: 128: 126: 122: 118: 115: 111: 107: 98: 94: 90: 86: 82: 78: 74: 70: 67: 64: 60: 56: 51: 43: 41: 33: 19: 7163:Peyton Young 7158:Paul Milgrom 7073:Hervé Moulin 7013:Amos Tversky 6955:Folk theorem 6833: 6666:-player game 6663: 6588:Grim trigger 6240: 6236:Johnny Whoop 6086:. 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