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Search theory

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in the real world. Search theory tries to explain how. Real-world transactions involve discrete quantities of goods and services, imperfect and expensive information, and possible physical or other barriers separating buyers and sellers. parties looking to conduct business, such as a potential employee and an employer, or a buyer and a seller of goods. Their search for one another is strained by this encounter. These restrictions can come in the form of geographical differences, differing expectations regarding price and specifications, and slow response and negotiation times from one of the parties.
213:, small changes in supply or demand have only a small effect on the price. However, in a pairwise matching setting, even slight imbalances can have significant effects on the allocation of resources. For example, in a marriage market with slightly more men than women, all matching rents go to women, and vice versa. Furthermore, the unique nature of the items for sale in a matching market makes it challenging to model as a traditional market. This poses a challenge for online matching services that aim to organize such markets efficiently. Therefore the 920:. However, when buyers do not have perfect information about where to find the lowest price (that is, whenever search is necessary), not all sellers may wish to offer the same price, because there is a trade-off between the frequency and the profitability of their sales. That is, firms may be indifferent between posting a high price (thus selling infrequently, only to those consumers with the highest reservation prices) and a low price (at which they will sell more often, because it will fall below the reservation price of more consumers). 161:, it has been applied to analyze purchasing decisions. From a worker's perspective, an acceptable job would be one that pays a high wage, one that offers desirable benefits, and/or one that offers pleasant and safe working conditions. From a consumer's perspective, a product worth purchasing would have sufficiently high quality and be offered at a sufficiently low price. In both cases, whether a given job or product is acceptable depends on the searcher's beliefs about the alternatives available in the market. 29: 235:
ideal sample size can be calculated using a straightforward one-variable optimization problem and expressed in closed form. It is assumed that a non-degenerate distribution F(p) on provides the distribution of prices. A consumer chooses a fixed sample size n to minimize the expected total cost C (expected purchase cost plus search cost) of purchasing the product. With n independent draws, the distribution of the lowest price is
581:. This is because when there is more variation in wage offers (holding fixed the mean), the searcher may want to wait longer (that is, set a higher reservation wage) in hopes of receiving an exceptionally high wage offer. The possibility of receiving some exceptionally low offers has less impact on the reservation wage, since bad offers can be turned down. 527:
search have been used in many disciplines, including finance and labour economics. Sequential search models are used in labour economics to examine how employees look for work and how employers hire new employees. Sequential search models are used in the field of finance to examine how investors look for information on stocks and other financial assets.
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The expected price from the given distribution decreases as the number of searches increases, but the rate of decrease becomes smaller. This meets the second-order condition, and the optimal sample size (n*) satisfies the first-order condition, which states that the difference between the probability
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Search theory has been used primarily to explain labor market inefficiencies, but also for all forms of "buyers" and "sellers", whether products, homes or even spouses/partners. It can be applied. The clearing price will be met quickly as supply and demand react freely. However, this does not happen
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studies buyers or sellers who cannot instantly find a trading partner, and must therefore search for a partner prior to transacting. It involves determining the best approach to use when looking for a specific item or person in a sizable, uncharted environment. The goal of the theory is to determine
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problem. The name comes from the slang term 'one-armed bandit' for a casino slot machine, and refers to the case in which the only way to learn about the distribution of rewards from a given slot machine is by actually playing that machine. Optimal search strategies for an unknown distribution have
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The assumption that consumers know what they are looking for and what the standard of the product or service should be is one of the limitations of sequential search models. This presumption might not always be accurate in practical circumstances. Another drawback is that sequential search models
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Consumers in sequential search models must choose whether to stop looking for a better good or service or to buy what they have found so far. The model makes the assumption that customers have some idea of what they want and what the standard of the good or service should be. Models of sequential
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The literature or research theory in economics regarding the Simultaneous Search in economics was first introduced by Stigler G. in 1961. In Stigler's simultaneous search model, a consumer selects how many searches to conduct while sampling prices from a distribution. For some distributions, the
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The reservation wage may change over time if some of the conditions assumed by McCall are not met. For example, a worker who fails to find a job might lose skills or face stigma, in which case the distribution of potential offers that worker might receive will get worse, the longer he or she is
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In sequential search, a consumer looks for a product or service one at a time until they find it, McCall J.J. introduced this type of search to economics. In economics, the sequential search model is used to examine how consumers choose which goods or services to purchase when they have
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of finding the lowest price in (n*-1) searches and that of finding it in (n*) searches is greater than or equal to the search cost, which is greater than the difference between the probability of finding the lowest price in (n*) searches and that of finding it in (n*+1) searches.
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Opportunities might provide payoffs from different distributions. Costs of sampling may vary from an opportunity to another. As a result, some opportunities appear more profitable to sample than others. These problems are referred to as Pandora box problems introduced by
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While McCall framed his theory in terms of the wage search decision of an unemployed worker, similar insights are applicable to a consumer's search for a low price. In that context, the highest price a consumer is willing to pay for a particular good is called the
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Search theory clarifies how buyers and sellers choose when to acknowledge a coordinating offer for a transaction. Search theory also provides an explanation for why frictional unemployment happens as people look for jobs and corporations look for new employees.
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When the searcher does not even know the distribution of offers, then there is an additional motive for search: by searching longer, more is learned about the range of offers available. Search from one or more unknown distributions is called a
778:. Her optimal strategy is to open the boxes by decreasing order of reservation value until the opened box that maximizes her payoff exceed highest reservation value of the remaining boxes. This strategy is referred as the Pandora's rule. 984:. While some matching models include a distribution of different wages, others are simplified by ignoring wage differences, and just imply that workers pass through an unemployment spell of random length before beginning work. 225:
examines the role of option value in decision-making, including where to search and how long to search. It highlights the relationship between risk and option value and can be modeled as sequential or simultaneous search.
558:, that is, the lowest wage the worker is willing to accept. The worker's optimal strategy is simply to reject any wage offer lower than the reservation wage, and accept any wage offer higher than the reservation wage. 566:, the reservation wage will decline over time if the worker gradually runs out of money while searching. The reservation wage would also differ for two jobs of different characteristics; that is, there will be a 979:
In models of matching in the labor market, two types of search interact. That is, the rate at which new jobs are formed is assumed to depend both on workers' search decisions, and on firms' decisions to open
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of alternatives is known and constant, and the value of money is constant. Holding fixed job characteristics, he characterized the job search decision in terms of the
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Danforth, John P. (1979). "On the role of consumption and decreasing absolute risk aversion in the theory of job search". In Lippman, S. A.; McCall, J. J. (eds.).
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led economists to ask why the same good should ever be sold, in equilibrium, at more than one price. After all, this is by definition a violation of the
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don't account for the possibility that customers could find out more about the calibre of a good or service as they search further.
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the best search strategy, one that maximises the chance of finding the target while minimising search-related expenses.
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In fact, the Pandora's rule remains the optimal sampling strategy for complex payoff functions. Wojciech Olszewski and
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Mortensen, Dale; Pissarides, Christopher (1994). "Job creation and job destruction in the theory of unemployment".
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unemployed. In this case, the worker's optimal reservation wage will decline over time. Likewise, if the worker is
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models in which one or more types of searchers interact. These macroeconomic theories have been called '
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Mortensen, D. (1986). "Job search and labor market analysis". In Ashenfelter, O.; Card, D. (eds.).
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of offers may make the searcher better off, and prolong optimal search, even if he or she is
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proposed thinking of searching for bargains or jobs as an economically important problem.
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This article is about the economics of search problems. For other uses of 'search', see
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and J. L. Moraga. 2004. Strategic pricing, consumer search and the number of firms.
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Butters, G. R. (1977). "Equilibrium distributions of sales and advertising prices".
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More recently, job search, and other types of search, have been incorporated into
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Groh, Matthew; McKenzie, David; Shammout, Nour; Vishwanath, Tara (2015-04-24).
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proposed a dynamic model of job search, based on the mathematical method of
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illustrate how best to balance the cost of delay against the value of the
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Burdett, Kenneth; Judd, Kenneth (1983). "Equilibrium price dispersion".
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Chung, Jae Hyen; Chintagunta, Pradeep K.; Misra, Sanjog (2019-05-06).
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quality, under the assumption that delaying choice is costly. Search
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continuous, non-negative, non-decreasing, symmetric and submodular.
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An interesting observation about McCall's model is that greater
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Ursu, Raluca; Seiler, Stephan; Honka, Elisabeth (2023-01-30).
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More precisely, search theory studies an individual's optimal
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Stigler, George J. (1961). "The economics of information".
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when choosing from a series of potential opportunities of
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Dynamic Economics: Quantitative Methods and Applications
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Search from known distributions and heterogeneous costs
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show that Pandora's rule is optimal if she maximizes
705: 682: 655: 635: 608: 400: 317: 243: 1816: 534: 53:. Unsourced material may be challenged and removed. 1671:Olszewski, Wojciech; Weber, Richard (2015-12-01). 896: 873: 774:It can be proven Pandora associates to each box a 763: 696:the set of boxes she has opened, Pandora receives 688: 668: 641: 621: 502: 381: 297: 1876: 1244:Carrasco, Jose A.; Yañez, Rodrigo (2022-07-01). 707: 180:to try again. Mathematically, search models are 1317: 1670: 960:, using a framework called 'matching theory'. 204: 1243: 1746: 1484: 1853: 1509: 1639: 1613:"Optimal Search for the Best Alternative" 1562: 1545:"Economics of information and job search" 1464:. Vol. 2. Amsterdam: North-Holland. 1459: 1339: 1126: 1116: 523:(incomplete) about those goods' quality. 113:Learn how and when to remove this message 1610: 1585: 309:Therefore, the plan of purchase outlay: 190:have extended search theory by studying 1709: 1407: 1362: 1293:"Estimation of Sequential Search Model" 1246:"Sequential search and firm prominence" 1149: 629:the payoff she discovered from the box 1877: 1542: 1487:Recursive Methods in Economic Dynamics 1196: 1051: 229: 912:Studying optimal search from a given 676:the cost she has paid to open it and 513: 51:adding citations to reliable sources 22: 1806:The Prize in Economic Sciences 2010 1054:"Information and Consumer Behavior" 976:for their work on matching theory. 924:Search from an unknown distribution 908:Endogenizing the price distribution 198:', or 'search and matching theory. 13: 1588:Studies in the Economics of Search 945: 145:Search theory has been applied in 14: 1901: 1410:"Information in the labor market" 570:between different types of jobs. 382:{\displaystyle P(n)=K\int ^{n}dp} 221:outcomes in matching markets and 1854:Pissarides, Christopher (2000). 1518:. Cambridge: MIT Press. p.  952:Matching theory (macroeconomics) 535:Search from a known distribution 27: 1856:Equilibrium Unemployment Theory 1847: 1810: 1799: 1777: 1740: 1703: 1664: 1604: 1579: 1536: 1503: 1478: 1462:The Handbook of Labor Economics 1453: 38:needs additional citations for 1673:"A more general Pandora rule?" 1550:Quarterly Journal of Economics 1485:Lucas, R.; Stokey, N. (1989). 1401: 1356: 1311: 1284: 1237: 1190: 1152:"The Economics of Information" 1143: 1105:IZA Journal of Labor Economics 1092: 1045: 497: 482: 473: 460: 445: 432: 423: 404: 364: 360: 354: 342: 339: 327: 321: 289: 286: 280: 268: 256: 250: 1: 1510:Adda, J.; Cooper, R. (2003). 1039: 1611:Weitzman, Martin L. (1979). 1418:Journal of Political Economy 1366:Journal of Political Economy 1156:Journal of Political Economy 1058:Journal of Political Economy 7: 1858:(2nd ed.). MIT Press. 1590:. New York: North-Holland. 1408:Stigler, George J. (1962). 1150:Stigler, George J. (1961). 987: 205:Foundation of search theory 10: 1906: 1820:Review of Economic Studies 1789:Review of Economic Studies 1713:Review of Economic Studies 1677:Journal of Economic Theory 1262:10.1007/s00199-021-01363-8 949: 18:Searching (disambiguation) 15: 1689:10.1016/j.jet.2015.10.009 1683:(Supplement C): 429–437. 1118:10.1186/s40172-015-0022-8 970:Christopher A. Pissarides 568:compensating differential 298:{\displaystyle Fn(p)=1-n} 1543:McCall, John J. (1970). 1197:McCall, John J. (1965). 1052:Nelson, Phillip (1970). 974:Nobel prize in economics 521:asymmetrical information 1203:The Journal of Business 994:Frictional unemployment 151:frictional unemployment 1890:Microeconomic theories 914:distribution of prices 898: 875: 860: 765: 690: 670: 643: 623: 504: 383: 299: 1024:Real options analysis 999:Information economics 899: 876: 846: 766: 691: 671: 669:{\displaystyle c_{i}} 644: 624: 622:{\displaystyle x_{i}} 505: 384: 300: 1332:10.2139/ssrn.4357557 958:macroeconomic models 934:been analyzed using 888: 792: 703: 680: 653: 633: 606: 398: 315: 241: 211:economic equilibrium 47:improve this article 230:Simultaneous search 192:general equilibrium 936:allocation indices 931:multi-armed bandit 894: 871: 761: 750: 721: 686: 666: 639: 619: 500: 379: 295: 1865:978-0-262-16187-9 1597:978-0-444-85222-9 1529:978-0-262-01201-0 1496:978-0-674-75096-8 1471:978-0-444-87857-1 1326:. Rochester, NY. 1299:. Rochester, NY. 897:{\displaystyle u} 776:reservation value 735: 706: 689:{\displaystyle S} 642:{\displaystyle i} 587:reservation price 540:George J. Stigler 514:Sequential search 209:In a traditional 123: 122: 115: 97: 1897: 1885:Labour economics 1870: 1869: 1851: 1845: 1844: 1814: 1808: 1803: 1797: 1781: 1775: 1774: 1744: 1738: 1737: 1707: 1701: 1700: 1668: 1662: 1661: 1643: 1617: 1608: 1602: 1601: 1583: 1577: 1576: 1566: 1540: 1534: 1533: 1517: 1507: 1501: 1500: 1482: 1476: 1475: 1457: 1451: 1450: 1414: 1405: 1399: 1398: 1360: 1354: 1353: 1343: 1315: 1309: 1308: 1288: 1282: 1281: 1241: 1235: 1234: 1194: 1188: 1187: 1147: 1141: 1140: 1130: 1120: 1096: 1090: 1089: 1049: 1029:Reservation wage 1019:Price dispersion 1014:Optimal stopping 962:Peter A. Diamond 918:law of one price 903: 901: 900: 895: 880: 878: 877: 872: 870: 869: 859: 854: 842: 838: 837: 836: 812: 811: 770: 768: 767: 762: 760: 759: 749: 731: 730: 720: 695: 693: 692: 687: 675: 673: 672: 667: 665: 664: 648: 646: 645: 640: 628: 626: 625: 620: 618: 617: 556:reservation wage 548:optimal stopping 509: 507: 506: 501: 472: 471: 444: 443: 416: 415: 388: 386: 385: 380: 372: 371: 304: 302: 301: 296: 215:search frictions 182:optimal stopping 118: 111: 107: 104: 98: 96: 55: 31: 23: 1905: 1904: 1900: 1899: 1898: 1896: 1895: 1894: 1875: 1874: 1873: 1866: 1852: 1848: 1833:10.2307/2297896 1815: 1811: 1804: 1800: 1782: 1778: 1763:10.2307/1912045 1745: 1741: 1726:10.2307/2296902 1708: 1704: 1669: 1665: 1632:10.2307/1910412 1615: 1609: 1605: 1598: 1584: 1580: 1564:10.2307/1879403 1541: 1537: 1530: 1508: 1504: 1497: 1483: 1479: 1472: 1458: 1454: 1412: 1406: 1402: 1361: 1357: 1316: 1312: 1289: 1285: 1250:Economic Theory 1242: 1238: 1195: 1191: 1148: 1144: 1097: 1093: 1050: 1046: 1042: 1009:Labor economics 990: 954: 948: 946:Matching theory 926: 910: 889: 886: 885: 865: 861: 855: 850: 832: 828: 807: 803: 802: 798: 793: 790: 789: 755: 751: 739: 726: 722: 710: 704: 701: 700: 681: 678: 677: 660: 656: 654: 651: 650: 634: 631: 630: 613: 609: 607: 604: 603: 600:Martin Weitzman 595: 537: 516: 467: 463: 439: 435: 411: 407: 399: 396: 395: 367: 363: 316: 313: 312: 308: 242: 239: 238: 232: 207: 201: 196:matching theory 188:Macroeconomists 159:consumer theory 157:by workers. In 153:resulting from 147:labor economics 119: 108: 102: 99: 62:"Search theory" 56: 54: 44: 32: 21: 12: 11: 5: 1903: 1893: 1892: 1887: 1872: 1871: 1864: 1846: 1827:(3): 397–415. 1809: 1798: 1776: 1757:(4): 955–969. 1739: 1720:(3): 465–491. 1702: 1663: 1626:(3): 641–654. 1603: 1596: 1578: 1557:(1): 113–126. 1535: 1528: 1502: 1495: 1477: 1470: 1452: 1431:10.1086/258727 1400: 1379:10.1086/258464 1373:(3): 213–225. 1355: 1310: 1283: 1256:(1): 209–233. 1236: 1215:10.1086/294789 1209:(3): 300–317. 1189: 1168:10.1086/258464 1162:(3): 213–225. 1142: 1091: 1070:10.1086/259630 1064:(2): 311–329. 1043: 1041: 1038: 1037: 1036: 1031: 1026: 1021: 1016: 1011: 1006: 1001: 996: 989: 986: 966:Dale Mortensen 950:Main article: 947: 944: 925: 922: 909: 906: 893: 882: 881: 868: 864: 858: 853: 849: 845: 841: 835: 831: 827: 824: 821: 818: 815: 810: 806: 801: 797: 772: 771: 758: 754: 748: 745: 742: 738: 734: 729: 725: 719: 716: 713: 709: 685: 663: 659: 638: 616: 612: 594: 591: 544:John J. McCall 536: 533: 515: 512: 499: 496: 493: 490: 487: 484: 481: 478: 475: 470: 466: 462: 459: 456: 453: 450: 447: 442: 438: 434: 431: 428: 425: 422: 419: 414: 410: 406: 403: 378: 375: 370: 366: 362: 359: 356: 353: 350: 347: 344: 341: 338: 335: 332: 329: 326: 323: 320: 294: 291: 288: 285: 282: 279: 276: 273: 270: 267: 264: 261: 258: 255: 252: 249: 246: 231: 228: 206: 203: 127:microeconomics 121: 120: 35: 33: 26: 9: 6: 4: 3: 2: 1902: 1891: 1888: 1886: 1883: 1882: 1880: 1867: 1861: 1857: 1850: 1842: 1838: 1834: 1830: 1826: 1822: 1821: 1813: 1807: 1802: 1795: 1791: 1790: 1785: 1780: 1772: 1768: 1764: 1760: 1756: 1752: 1751: 1743: 1735: 1731: 1727: 1723: 1719: 1715: 1714: 1706: 1698: 1694: 1690: 1686: 1682: 1678: 1674: 1667: 1659: 1655: 1651: 1647: 1642: 1637: 1633: 1629: 1625: 1621: 1614: 1607: 1599: 1593: 1589: 1582: 1574: 1570: 1565: 1560: 1556: 1552: 1551: 1546: 1539: 1531: 1525: 1521: 1516: 1515: 1506: 1498: 1492: 1488: 1481: 1473: 1467: 1463: 1456: 1448: 1444: 1440: 1436: 1432: 1428: 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microeconomics
labor economics
frictional unemployment
job hunting
consumer theory
strategy
random
models
option
optimal stopping
Macroeconomists
general equilibrium
matching theory
economic equilibrium
search frictions
equilibirum
asymmetrical information
George J. Stigler

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