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D21 – Janeček method

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in March 2015, with the aim of testing and developing the new platform for municipal decisions. The objective of choosing this method was to motivate people to take interest in what was happening in their municipality. It was suggested that the system made it easier for them to get involved in making
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In some cases, voters can also use a minus vote, provided they cast at least two plus votes. Minus votes carry the same absolute value as plus votes. It is not recommended to use minus votes in political elections in societies with major internal divisions among ethnic, religious or linguistic lines.
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In 2016, Janeček founded Institute H21, initially named Institute for Democracy 21, with the objective to promote the D21 method and research it comparatively with other voting methods. The insights gained from research projects conducted by Institute H21 led to further refinements in the D21 voting
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used currently in Czech general elections, suggesting it might be difficult for voters to understand and use the new system effectively. However, an experimental presidential election in 2023 showed that voters cast fewer invalid votes in the D21 voting method than in plurality voting. On the other
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parties is essential for a well functioning democracy for several reasons. It is theorized that the limitation of extremism on the political level can cause the mushrooming of the ideology in other forms. Those ways of extremism could go underground and become more difficult to monitor, making them
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is having an election on the location of its capital. The population of Tennessee is concentrated around its four major cities, which are spread throughout the state. For this example, suppose that the entire electorate lives in these four cities, and that everyone wants to live as near the capital
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The system aims to reduce the chance of populist and extremist candidates getting elected, as they would struggle to garner votes from other candidates' supporters. The fact that voters are allowed to vote for candidates of different political affiliations is expected to lead to a broader consensus
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The basic prerequisite of the D21 method is that the voter always has more votes available than the number of existing winning opportunities. All votes have the same value. The voter can, but does not have to, use all of them. Multiple votes cannot be accumulated; a candidate can receive only one
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in the country was widespread. In March 2011, Janeček founded the Endowment Fund Against Corruption (NFPK), aiming to expose prominent cases of corruption. Suggestions were made that the country's voting system needed an overhaul. The D21 method, originally formulated in 2012, was beta tested the
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There exists a variant of the D21 method that includes a minus vote. Minus votes carry the same absolute value as plus votes (-1 vs +1). In such cases, voters can use a minus vote so long as they cast at least two plus votes.
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hand, they did make more mistakes with the conditional minus vote without invalidation the plus votes. In addition, it was argued that it would be more complicated for the administration to determine the election results.
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One of Janeček's main objectives with this method is to diminish extremist electoral strength. This point has been questioned by some specialists in political sciences. They claim that the existence and competitiveness of
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The number of votes is determined by the number of seats available and the number of ballot options. The total number of votes is decided based on a mathematical algorithm which takes both of these factors into account.
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where voters cast as many votes as there are seats. All votes are of the same absolute value and each candidate can only receive one vote from each voter, which distinguishes the D21 method from
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The D21 method has been employed in election polls to study the method empirically and to identify voter overlaps between candidates and parties in the Czech Republic consistently since 2015.
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public decisions to raise general welfare and transparency of public procurements. The town allows for voting via the internet, and it has been used on several occasions since 2015.
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For example, in an election to fill two seats, with six candidates competing, voters may cast up to three votes. With one seat open and six candidates, voters may cast two votes.
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The system is based on the effect of more votes, which means that voters are allowed to grant a 'plus vote' to more candidates than there are seats, unlike
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method. The primary adaptation was maintaining the method as a predominantly plus vote system, with the inclusion of minus votes only in specific cases.
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With the D21 method, voters are able to vote for their two top preferences - their own city and the next closest. The results would be as follows:
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but was rejected. As of 2023, D21 has not been used to decide any major general elections in the country or elsewhere.
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The system was also criticized by the political academic Michel Perottino for its complexity compared to the
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Chattanooga: 58 total votes (0 votes from Memphis, 26 from Nashville, 15 from Chattanooga, 17 from Knoxville)
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Knoxville: 32 total votes (0 votes from Memphis, 0 from Nashville, 15 from Chattanooga, 17 from Knoxville)
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Nashville: 68 total votes (42 votes from Memphis, 26 from Nashville, 0 from Chattanooga, 0 from Knoxville)
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Each vote has the same absolute weight; the candidate(s) receiving the greatest net sum of all votes win
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Memphis: 42 total votes (42 votes from Memphis, 0 from Nashville, 0 from Chattanooga, 0 from Knoxville)
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The D21 method has been used in various Czech and Slovak municipalities to allocate public funds in
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Negative voting has been described as "ill-advised" in cases where it could be used against a
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Each voter may vote for more candidates than the number of election winners to be decided
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The following table shows the recommended vote allowances for each number of candidates:
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With its effect, the minus vote is designed to enhance the effect of more votes.
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The system was considered for participatory budgeting experiments in
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The voter can, but does not have to, use all available votes
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where voters can cast fewer votes than there are seats, and
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Each voter can cast no more than one vote for any candidate
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The preferences of the voters would be divided like this:
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in 2013, a majority of Czech citizens believed that
1731:The Democratic Society for the Scottish Government 1013:The D21 method was created in 2013 in response to 990:. The method was developed by Czech mathematician 2212:Friedrich Naumann Foundation for Freedom Brussels 2369: 2271:"Should extremist parties be banned in the EU?" 1529:A proposal to implement the method in two-seat 997:This voting method has yet to be used in any 943: 1559:, where people could suggest candidates for 1015:corruption within the Czech political system 2323:"Jaký volební systém pro Českou republiku?" 1033:The method was notably used in the project 2214:. Archived from the original on 2014-10-31 1870: 1076:Number of votes allowed by the D21 method 950: 936: 2089:"Janečkova Demokracie 21: Volby jako hra" 2327:Centrum pro studium demokracie a kultury 1569: 2247:"The use of Janeček method in politics" 14: 2370: 2293: 2291: 2083: 2081: 2079: 1664:Party-list proportional representation 1297:An election uses the D21 method when: 1005:programs conducted by various cities. 2205: 2004: 2002: 1958:"Guidelines for using the D21 method" 1327:by the author. It is meant to reduce 1952: 1950: 1948: 1946: 1866: 1864: 1862: 1787: 1785: 1783: 1756: 1754: 1524: 1354:The candidates for the capital are: 2288: 2076: 1975: 1871:Cunningham, Benjamin (2015-08-13). 1044: 24: 2199: 1999: 1760: 1338: 962:The D21 method, also known as the 54: 25: 2399: 1943: 1889: 1859: 1780: 1751: 1716: 1704:List of mathematics-based methods 1578:elections. It was first used in 1561:2018 Czech presidential election 1039:2018 Czech presidential election 919: 906: 894: 842:McKelvey–Schofield chaos theorem 488:Semi-proportional representation 120:First preference plurality (FPP) 2340: 2315: 2263: 2239: 2175: 2151: 2126: 2105: 2051: 2026: 1733:. February 2016. Archived from 2206:Haury, Caroline (2014-10-31). 1918: 1834: 1810: 1540: 1292: 1001:. It has been used in several 880:Harsanyi's utilitarian theorem 837:Moulin's impossibility theorem 802:Conflicting majorities paradox 13: 1: 1710: 1008: 706:Frustrated majorities paradox 1612:potentially more dangerous. 1586: 875:Condorcet dominance theorems 815:Social and collective choice 7: 2303:www.worldpoliticsreview.com 1684:Webster/Sainte-Laguë method 1669:Proportional representation 1626: 1533:was submitted to the Czech 1023:Global Corruption Barometer 541:By mechanism of combination 312:Proportional representation 10: 2404: 1822:Transparency International 1797:Carnegie Mellon University 1649:First-past-the-post voting 1617:proportional voting system 1334: 1321: 1019:Transparency International 739:Multiple districts paradox 470:Fractional approval voting 458:Interactive representation 2231:: CS1 maint: unfit URL ( 1873:"Recalculating democracy" 1243: 1200: 1157: 1124: 1091: 686:Paradoxes and pathologies 535:Mixed-member proportional 530:Mixed-member majoritarian 525:By results of combination 416:Approval-based committees 1769:(in European Portuguese) 1639:Single transferable vote 1379:, with 15% of the voters 1373:, with 17% of the voters 988:combined approval voting 865:Condorcet's jury theorem 666:Double simultaneous vote 641:Rural–urban proportional 636:Dual-member proportional 598: 587: 554:Parallel (superposition) 446:Fractional social choice 433:Expanding approvals rule 262: 247: 232: 163: 152: 128: 2388:Participatory democracy 1576:participatory budgeting 1003:participatory budgeting 792:Tyranny of the majority 569:Fusion (majority bonus) 386:Quota-remainder methods 2329:(in Czech). 2015-12-10 2134:"Surveys and analyses" 2065:(in Czech). 2017-11-24 1932:(in Czech). 2016-12-22 1406:(close to Chattanooga) 1343: 1050:vote from each voter. 926:Mathematics portal 832:Majority impossibility 821:Impossibility theorems 617:Negative vote transfer 438:Method of equal shares 59: 1901:www.participatedb.com 1659:Instant-runoff voting 1570:Use in municipalities 1342: 729:Best-is-worst paradox 718:Pathological response 453:Direct representation 106:Single-winner methods 58: 1761:Pincha, João Pedro. 1601:negative campaigning 1413:(close to Knoxville) 1399:(close to Nashville) 1084:Number of candidates 1027:political corruption 974:applicable for both 964:D21 – Janeček method 913:Economics portal 860:Median voter theorem 79:Comparative politics 18:D21 - Janeček method 2383:Election technology 1077: 980:multi-winner voting 901:Politics portal 612:Vote linkage system 583:Seat linkage system 170:Ranked-choice (RCV) 2187:www.ridimricany.cz 1392:(close to Memphis) 1344: 1075: 1059:plurality-at-large 797:Discursive dilemma 756:Lesser evil voting 631:Supermixed systems 334:Largest remainders 192:Round-robin voting 60: 2378:Electoral systems 2014:praguemonitor.com 1679:Cumulative voting 1654:Positional voting 1551:Cascais, Portugal 1525:Official proposal 1500: 1499: 1414: 1407: 1400: 1393: 1286: 1285: 1081:Number of winners 1063:cumulative voting 999:general elections 960: 959: 847:Gibbard's theorem 787:Dominance paradox 724:Perverse response 428:Phragmen's method 294:Majority judgment 222:Positional voting 180:Condorcet methods 48:electoral systems 16:(Redirected from 2395: 2363: 2362: 2360: 2359: 2344: 2338: 2337: 2335: 2334: 2319: 2313: 2312: 2310: 2309: 2295: 2286: 2285: 2283: 2282: 2267: 2261: 2260: 2258: 2257: 2243: 2237: 2236: 2230: 2222: 2220: 2219: 2203: 2197: 2196: 2194: 2193: 2179: 2173: 2172: 2170: 2169: 2155: 2149: 2148: 2146: 2145: 2130: 2124: 2123: 2121: 2120: 2109: 2103: 2102: 2100: 2099: 2085: 2074: 2073: 2071: 2070: 2055: 2049: 2048: 2046: 2045: 2030: 2024: 2023: 2021: 2020: 2006: 1997: 1996: 1994: 1993: 1983:"The D21 method" 1979: 1973: 1972: 1970: 1969: 1954: 1941: 1940: 1938: 1937: 1922: 1916: 1915: 1913: 1912: 1903:. Archived from 1893: 1887: 1886: 1884: 1883: 1868: 1857: 1856: 1854: 1853: 1838: 1832: 1831: 1829: 1828: 1814: 1808: 1807: 1805: 1804: 1789: 1778: 1777: 1775: 1774: 1758: 1749: 1748: 1746: 1745: 1739: 1728: 1720: 1674:Two-round system 1644:Condorcet method 1531:voting districts 1412: 1405: 1398: 1391: 1386: 1385: 1329:strategic voting 1087:Number of votes 1078: 1074: 1045:Electoral system 1030:following year. 972:electoral system 952: 945: 938: 924: 923: 911: 910: 899: 898: 854:Positive results 749:Strategic voting 646:Majority jackpot 603: 592: 463:Liquid democracy 339:National remnant 329:Highest averages 266: 251: 236: 168: 159:Alternative vote 157: 141:Partisan primary 133: 74:Mechanism design 27: 26: 21: 2403: 2402: 2398: 2397: 2396: 2394: 2393: 2392: 2368: 2367: 2366: 2357: 2355: 2346: 2345: 2341: 2332: 2330: 2321: 2320: 2316: 2307: 2305: 2297: 2296: 2289: 2280: 2278: 2275:Debating Europe 2269: 2268: 2264: 2255: 2253: 2245: 2244: 2240: 2224: 2223: 2217: 2215: 2204: 2200: 2191: 2189: 2181: 2180: 2176: 2167: 2165: 2157: 2156: 2152: 2143: 2141: 2132: 2131: 2127: 2118: 2116: 2111: 2110: 2106: 2097: 2095: 2087: 2086: 2077: 2068: 2066: 2057: 2056: 2052: 2043: 2041: 2032: 2031: 2027: 2018: 2016: 2008: 2007: 2000: 1991: 1989: 1981: 1980: 1976: 1967: 1965: 1956: 1955: 1944: 1935: 1933: 1924: 1923: 1919: 1910: 1908: 1895: 1894: 1890: 1881: 1879: 1869: 1860: 1851: 1849: 1840: 1839: 1835: 1826: 1824: 1816: 1815: 1811: 1802: 1800: 1791: 1790: 1781: 1772: 1770: 1759: 1752: 1743: 1741: 1737: 1726: 1722: 1721: 1717: 1713: 1708: 1629: 1623: 1597:ethnic minority 1589: 1572: 1543: 1527: 1520:Nashville wins. 1411: 1404: 1397: 1390: 1337: 1324: 1295: 1047: 1017:. According to 1011: 984:approval voting 956: 918: 917: 905: 893: 885: 884: 851: 827:Arrow's theorem 817: 807: 806: 775: 745: 734:No-show paradox 715: 701:Cloning paradox 691:Spoiler effects 688: 678: 677: 652: 539: 522: 512: 511: 484: 475:Maximal lottery 442: 423:Thiele's method 412: 382: 314: 304: 303: 289:Approval voting 277:Cardinal voting 273: 218: 212:Maximal lottery 176: 108: 98: 23: 22: 15: 12: 11: 5: 2401: 2391: 2390: 2385: 2380: 2365: 2364: 2339: 2314: 2287: 2262: 2238: 2198: 2174: 2163:info.ricany.cz 2150: 2125: 2113:"Prezident 21" 2104: 2075: 2063:Tyinternety.cz 2050: 2025: 1998: 1974: 1942: 1917: 1888: 1858: 1833: 1809: 1779: 1750: 1714: 1712: 1709: 1707: 1706: 1701: 1699:Schulze method 1696: 1691: 1689:Coombs' method 1686: 1681: 1676: 1671: 1666: 1661: 1656: 1651: 1646: 1641: 1636: 1630: 1628: 1625: 1588: 1585: 1571: 1568: 1542: 1539: 1526: 1523: 1517: 1516: 1513: 1510: 1507: 1498: 1497: 1496: 1495: 1492: 1489: 1484: 1477: 1476: 1475: 1472: 1469: 1464: 1457: 1456: 1455: 1452: 1449: 1444: 1437: 1436: 1435: 1432: 1429: 1424: 1416: 1415: 1408: 1401: 1394: 1381: 1380: 1374: 1368: 1362: 1336: 1333: 1323: 1320: 1312: 1311: 1308: 1305: 1302: 1294: 1291: 1284: 1283: 1278: 1274: 1273: 1268: 1264: 1263: 1258: 1254: 1253: 1248: 1245: 1241: 1240: 1235: 1231: 1230: 1225: 1221: 1220: 1215: 1211: 1210: 1205: 1202: 1198: 1197: 1192: 1188: 1187: 1182: 1178: 1177: 1172: 1168: 1167: 1162: 1159: 1155: 1154: 1149: 1145: 1144: 1139: 1135: 1134: 1129: 1126: 1122: 1121: 1116: 1112: 1111: 1106: 1102: 1101: 1096: 1093: 1089: 1088: 1085: 1082: 1055:limited voting 1046: 1043: 1010: 1007: 958: 957: 955: 954: 947: 940: 932: 929: 928: 916: 915: 903: 890: 887: 886: 883: 882: 877: 872: 867: 862: 850: 849: 844: 839: 834: 829: 818: 813: 812: 809: 808: 805: 804: 799: 794: 789: 774: 773: 771:Turkey-raising 768: 763: 758: 744: 743: 742: 741: 731: 726: 714: 713: 711:Center squeeze 708: 703: 698: 696:Spoiler effect 689: 684: 683: 680: 679: 676: 675: 670: 669: 668: 655:By ballot type 651: 650: 649: 648: 643: 638: 628: 627: 626: 625: 624: 619: 609: 608: 607: 596: 573: 572: 571: 566: 561: 556: 538: 537: 532: 523: 518: 517: 514: 513: 510: 509: 507:Limited voting 504: 503: 502: 483: 482: 477: 472: 467: 466: 465: 460: 441: 440: 435: 430: 425: 411: 410: 405: 400: 395: 381: 380: 379: 378: 376:Localized list 373: 368: 363: 358: 348: 347: 346: 344:Biproportional 341: 336: 331: 315: 310: 309: 306: 305: 302: 301: 296: 291: 286: 272: 271: 256: 241: 217: 216: 215: 214: 209: 204: 199: 189: 175: 174: 173: 172: 161: 148:Instant-runoff 145: 144: 143: 135:Jungle primary 122: 111:Single vote - 109: 104: 103: 100: 99: 97: 96: 86: 81: 76: 71: 65: 62: 61: 51: 50: 40: 39: 9: 6: 4: 3: 2: 2400: 2389: 2386: 2384: 2381: 2379: 2376: 2375: 2373: 2353: 2352:Institute H21 2349: 2343: 2328: 2324: 2318: 2304: 2300: 2294: 2292: 2276: 2272: 2266: 2252: 2248: 2242: 2234: 2228: 2213: 2209: 2202: 2188: 2184: 2178: 2164: 2160: 2154: 2139: 2138:Institute H21 2135: 2129: 2114: 2108: 2094: 2090: 2084: 2082: 2080: 2064: 2060: 2054: 2039: 2038:Institute H21 2035: 2029: 2015: 2011: 2005: 2003: 1988: 1984: 1978: 1963: 1962:Institute H21 1959: 1953: 1951: 1949: 1947: 1931: 1927: 1921: 1907:on 2018-04-12 1906: 1902: 1898: 1892: 1878: 1874: 1867: 1865: 1863: 1847: 1843: 1837: 1823: 1819: 1813: 1798: 1794: 1788: 1786: 1784: 1768: 1764: 1757: 1755: 1740:on 2017-03-08 1736: 1732: 1725: 1719: 1715: 1705: 1702: 1700: 1697: 1695: 1692: 1690: 1687: 1685: 1682: 1680: 1677: 1675: 1672: 1670: 1667: 1665: 1662: 1660: 1657: 1655: 1652: 1650: 1647: 1645: 1642: 1640: 1637: 1635: 1634:Ranked voting 1632: 1631: 1624: 1621: 1618: 1613: 1610: 1604: 1602: 1598: 1594: 1584: 1581: 1577: 1567: 1564: 1562: 1558: 1557: 1552: 1547: 1538: 1536: 1532: 1522: 1521: 1514: 1511: 1508: 1505: 1504: 1503: 1493: 1490: 1488: 1485: 1483: 1480: 1479: 1478: 1473: 1470: 1468: 1465: 1463: 1460: 1459: 1458: 1453: 1450: 1448: 1445: 1443: 1440: 1439: 1438: 1433: 1430: 1428: 1425: 1423: 1420: 1419: 1418: 1417: 1410:17% of voters 1409: 1403:15% of voters 1402: 1396:26% of voters 1395: 1389:42% of voters 1388: 1387: 1384: 1378: 1375: 1372: 1369: 1366: 1363: 1360: 1357: 1356: 1355: 1352: 1351:as possible. 1349: 1346:Imagine that 1341: 1332: 1330: 1319: 1315: 1309: 1306: 1303: 1300: 1299: 1298: 1290: 1282: 1279: 1276: 1275: 1272: 1269: 1266: 1265: 1262: 1259: 1256: 1255: 1252: 1249: 1246: 1242: 1239: 1236: 1233: 1232: 1229: 1226: 1223: 1222: 1219: 1216: 1213: 1212: 1209: 1206: 1203: 1199: 1196: 1193: 1190: 1189: 1186: 1183: 1180: 1179: 1176: 1173: 1170: 1169: 1166: 1163: 1160: 1156: 1153: 1150: 1147: 1146: 1143: 1140: 1137: 1136: 1133: 1130: 1127: 1123: 1120: 1117: 1114: 1113: 1110: 1107: 1104: 1103: 1100: 1097: 1094: 1090: 1086: 1083: 1080: 1079: 1073: 1070: 1066: 1064: 1060: 1056: 1051: 1042: 1040: 1036: 1031: 1028: 1024: 1020: 1016: 1006: 1004: 1000: 995: 993: 992:Karel Janeček 989: 985: 981: 977: 976:single-winner 973: 969: 968:Democracy 2.1 965: 953: 948: 946: 941: 939: 934: 933: 931: 930: 927: 922: 914: 909: 904: 902: 897: 892: 891: 889: 888: 881: 878: 876: 873: 871: 870:May's theorem 868: 866: 863: 861: 858: 857: 856: 855: 848: 845: 843: 840: 838: 835: 833: 830: 828: 825: 824: 823: 822: 816: 811: 810: 803: 800: 798: 795: 793: 790: 788: 785: 784: 783: 782: 781: 780:majority rule 778:Paradoxes of 772: 769: 767: 764: 762: 759: 757: 754: 753: 752: 751: 750: 740: 737: 736: 735: 732: 730: 727: 725: 722: 721: 720: 719: 712: 709: 707: 704: 702: 699: 697: 694: 693: 692: 687: 682: 681: 674: 671: 667: 664: 663: 662: 659: 658: 657: 656: 647: 644: 642: 639: 637: 634: 633: 632: 629: 623: 620: 618: 615: 614: 613: 610: 606: 601: 597: 595: 590: 586: 585: 584: 581: 580: 579: 578: 574: 570: 567: 565: 562: 560: 557: 555: 552: 551: 550: 549: 544: 543: 542: 536: 533: 531: 528: 527: 526: 521: 520:Mixed systems 516: 515: 508: 505: 501: 498: 497: 496: 493: 492: 491: 490: 489: 481: 480:Random ballot 478: 476: 473: 471: 468: 464: 461: 459: 456: 455: 454: 451: 450: 449: 448: 447: 439: 436: 434: 431: 429: 426: 424: 421: 420: 419: 418: 417: 409: 406: 404: 401: 399: 396: 394: 391: 390: 389: 388: 387: 377: 374: 372: 369: 367: 364: 362: 359: 357: 354: 353: 352: 349: 345: 342: 340: 337: 335: 332: 330: 327: 326: 325: 324:Apportionment 322: 321: 320: 319: 313: 308: 307: 300: 297: 295: 292: 290: 287: 285: 282: 281: 280: 279: 278: 269: 265: 260: 259:Antiplurality 257: 254: 250: 245: 242: 239: 235: 230: 227: 226: 225: 224: 223: 213: 210: 208: 205: 203: 200: 198: 195: 194: 193: 190: 188: 187:Condorcet-IRV 185: 184: 183: 182: 181: 171: 166: 162: 160: 155: 151: 150: 149: 146: 142: 139: 138: 136: 131: 126: 123: 121: 118: 117: 116: 114: 107: 102: 101: 94: 90: 87: 85: 82: 80: 77: 75: 72: 70: 69:Social choice 67: 66: 64: 63: 57: 53: 52: 49: 45: 44:Social choice 42: 41: 37: 33: 29: 28: 19: 2356:. Retrieved 2351: 2342: 2331:. Retrieved 2326: 2317: 2306:. Retrieved 2302: 2279:. Retrieved 2277:. 2012-11-14 2274: 2265: 2254:. Retrieved 2251:www.ih21.org 2250: 2241: 2216:. Retrieved 2211: 2201: 2190:. Retrieved 2186: 2177: 2166:. Retrieved 2162: 2153: 2142:. Retrieved 2137: 2128: 2117:. Retrieved 2107: 2096:. Retrieved 2092: 2067:. Retrieved 2062: 2053: 2042:. Retrieved 2037: 2028: 2017:. Retrieved 2013: 1990:. Retrieved 1987:www.ih21.org 1986: 1977: 1966:. Retrieved 1961: 1934:. Retrieved 1929: 1920: 1909:. Retrieved 1905:the original 1900: 1891: 1880:. Retrieved 1876: 1850:. Retrieved 1848:. 2012-01-31 1845: 1836: 1825:. Retrieved 1821: 1812: 1801:. Retrieved 1799:. 2016-03-07 1796: 1771:. Retrieved 1766: 1742:. 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Index

D21 - Janeček method
Politics
Economics
Social choice
electoral systems

Social choice
Mechanism design
Comparative politics
Comparison
List
By country
Single-winner methods
plurality
First preference plurality (FPP)
Two-round
US
Jungle primary
Partisan primary
Instant-runoff
UK
Alternative vote
US
Ranked-choice (RCV)
Condorcet methods
Condorcet-IRV
Round-robin voting
Minimax
Schulze
Ranked pairs

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