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Majority bonus system

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all parties would get their full proportional number of seats, and one party would get the (nominal) bonus on top of that, the total number of seats would increase. While this means the size of the effective bonus (without other factors giving an effective bonus) if always smaller than the nominal one in terms of percentages, this naturally means all the parties who don't receive a bonus have a naturally less seats than they would proportionally.
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As the table shows, especially with a high bonus/jackpot, the two methods lead to different result, with the bonus always providing a higher seat share. For this reason the two are not usually directly compared in this, majority bonuses tend to be smaller than jackpots. The effect of a 55% jackpot
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favoring large parties would give an even larger bonus to the largest party. The reason why the difference of the seats share and vote share (the effective bonus) is lower than the bonus is that the number of non-bonus seats to be allocated proportionally is less than the total number of seats. If
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and an effectively flexible "bonus"), while the bonus system gives the bonus and a proportional share of the rest of the seats. The jackpot only modifies the seat share when the largest party's proportional seats count based on its vote share is below the size of the jackpot.
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The current system as of September 2024 gives no bonus to the first party if it gets less than 25% of the vote. If it gets more than that, then it gets a bonus of 20 seats plus one seat for every 0.5% of the vote above 25% capping off at 50 seats which is reached at
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while its goal in a political science sense is to provide for stable majorities (a bonus lower than 50%) does not ensure it and applies also when a stable majority can already be formed. This is the main difference between a majority bonus and a majority jackpot.
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on the number of votes for each party. A relatively small majority bonus (such as in the reinforced proportionality system of Greece) may not always guarantee that a single party can form a government. A the same time, as the majority bonus is allocated in a
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is an effective bonus for certain parties. Some properties of other mixed systems such as so called the "winner compensation" element of Hungarian electoral system have been criticized for being effectively just a majority bonus disguised as compensation.
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A simple bonus system (left) is also called a fusion type of mixed system. It mixes the FPTP and PR formulas in the same district and tier. A majority jackpot (right) is a supermixed system with a conditional and compensatory element as
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manner, therefore if the majority bonus if as high as 50% and the largest party which has 50% of the popular vote receives it, this party may win as many as 75% of all seats. This differentiates it from the similar
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The following table shows how small (10%), medium (25%) and large (50%) majority bonuses would work without any additional distortions of proportional systems. Using an
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If the leading party gets 50% of the vote, they get half the seats and the other half are distributed proportionally (leading party gets at least 75% in total).
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The difference between the majority bonus and a majority jackpot is shown in the following table, where the largest party receives a majority bonus/jackpot.
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If no party gets 50% there is a second round (with all parties above 10% contesting) and the winner of the second round gets the bonus 50%.
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electoral system have been described as providing a bonus to certain parties. Systems using single-member districts, particularly
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government (albeit with a slight modification of the original system), so the majority bonus was restored as of the
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was the first politician to enact a law to give automatic seats to the winning party and ensured his victory in the
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The jackpot system essentially gives the size of the jackpot or the vote share (whichever is higher, making it a
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Electoral incentives and the equal value of ballots in vote transfer systems with positive winner compensation
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The bonus system adds a certain fixed number of additional seats to the winning party or alliance. In the
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The size of the majority bonus can vary substantially, and is usually a fixed number of seats, and may be
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Used in multi-member districts, but the majority bonus in all districts is given to the same party.
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of seats. Typically, this is done with the aim of providing government stability, particularly in
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up to a sixth of the assembly seats are reserved as extra seats for the winning party. In the
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Massicotte & Blais (1999). "Mixed electoral systems: a conceptual and empirical survey".
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The majority bonus system was adopted by other European countries, especially
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Caciagli, Mario; Alan S. Zuckerman; Istituto Carlo Cattaneo (2001).
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principle are also effectively bonus seats for certain parties.
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for example is better compared to a bonus of around 10% to 30%.
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Italian Politics: Emerging Themes and Institutional Responses
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Berghahn Books. pp. 87–89. 2142: 2068: 1922:1-4 seats per district (23%-29%) 1033: 1020: 1008: 956:McKelvey–Schofield chaos theorem 602:Semi-proportional representation 234:First preference plurality (FPP) 34: 1149:Chamber of Deputies of Santa Fe 45:needs additional citations for 2169: 2110: 2080: 2048: 2019: 994:Harsanyi's utilitarian theorem 951:Moulin's impossibility theorem 916:Conflicting majorities paradox 13: 1: 2163:10.1016/S0261-3794(98)00063-8 2062: 2003:1924 Italian general election 1958:plurality bonus (supermixed) 1223:of the 2nd largest party (%) 1211:of the 2nd largest party (%) 820:Frustrated majorities paradox 1162: 1095:that gives extra seats in a 989:Condorcet dominance theorems 929:Social and collective choice 7: 2027:proportional representation 1933:majority bonus (two-round) 1917:majority bonus (two-round) 1082:majority bonus system (MBS) 655:By mechanism of combination 426:Proportional representation 10: 2247: 1993: 1790:first-preference plurality 1780:Effective majority bonuses 1435: 1173:Sicilian Regional Assembly 853:Multiple districts paradox 584:Fractional approval voting 572:Interactive representation 1949: 1908: 1807:mixed-member proportional 1794:mixed-member majoritarian 1470: 1467: 1461: 1455: 1449: 1217:of the largest party (%) 1205:of the largest party (%) 800:Paradoxes and pathologies 649:Mixed-member proportional 644:Mixed-member majoritarian 639:By results of combination 530:Approval-based committees 2012: 1135:and on a local level in 1131:It is currently used in 979:Condorcet's jury theorem 780:Double simultaneous vote 755:Rural–urban proportional 750:Dual-member proportional 712: 701: 668:Parallel (superposition) 560:Fractional social choice 547:Expanding approvals rule 376: 361: 346: 277: 266: 242: 2231:Mixed electoral systems 2007:majority jackpot system 1438:Majority jackpot system 1126:majority jackpot system 906:Tyranny of the majority 683:Fusion (majority bonus) 500:Quota-remainder methods 69:"Majority bonus system" 2029:was introduced by the 1812: 1197:Nominal size of bonus 1040:Mathematics portal 946:Majority impossibility 935:Impossibility theorems 731:Negative vote transfer 552:Method of equal shares 173: 138: 1805:in systems using the 1436:Further information: 1109:parliamentary systems 843:Best-is-worst paradox 832:Pathological response 567:Direct representation 220:Single-winner methods 172: 135: 2092:www.ekathimerini.com 1979:municipal elections 1419:The bonus system is 1188:apportionment method 1147:, it is used in the 1099:to the party with a 1027:Economics portal 974:Median voter theorem 193:Comparative politics 54:improve this article 2094:. 24 January 2020. 1966:2 ballots (votes), 1955:regional elections 1900:but restored as of 1833: 1796:implementations of 1446: 1184:electoral threshold 1090:partly-proportional 1015:Politics portal 726:Vote linkage system 697:Seat linkage system 284:Ranked-choice (RCV) 2181:www.britannica.com 2043:June 2023 election 1883:national elections 1832: 1769:conditional system 1464:largest party (%) 1462:Vote share of the 1445: 911:Discursive dilemma 870:Lesser evil voting 745:Supermixed systems 448:Largest remainders 306:Round-robin voting 174: 139: 2221:Electoral systems 2151:Electoral Studies 1991: 1990: 1914:French Polynesia 1840:Type of election 1765: 1764: 1432:Bonus and jackpot 1425:non-compensatory, 1417: 1416: 1221:Appr. seat share 1215:Appr. seat share 1074: 1073: 961:Gibbard's theorem 901:Dominance paradox 838:Perverse response 542:Phragmen's method 408:Majority judgment 336:Positional voting 294:Condorcet methods 162:electoral systems 130: 129: 122: 104: 16:(Redirected from 2238: 2203: 2192: 2191: 2189: 2188: 2173: 2167: 2166: 2146: 2140: 2139: 2137: 2136: 2114: 2108: 2107: 2105: 2103: 2084: 2078: 2072: 2056: 2052: 2046: 2023: 1999:Benito Mussolini 1968:ticket splitting 1888:plurality bonus 1865:plurality bonus 1862:local elections 1834: 1831: 1471:Effective bonus 1447: 1444: 1194: 1193: 1179:almost certain. 1169:Greek Parliament 1093:electoral system 1066: 1059: 1052: 1038: 1037: 1025: 1024: 1013: 1012: 968:Positive results 863:Strategic voting 760:Majority jackpot 717: 706: 577:Liquid democracy 453:National remnant 443:Highest averages 380: 365: 350: 282: 273:Alternative vote 271: 255:Partisan primary 247: 188:Mechanism design 141: 140: 125: 118: 114: 111: 105: 103: 62: 38: 30: 21: 2246: 2245: 2241: 2240: 2239: 2237: 2236: 2235: 2206: 2205: 2195: 2186: 2184: 2175: 2174: 2170: 2147: 2143: 2134: 2132: 2116: 2115: 2111: 2101: 2099: 2086: 2085: 2081: 2073: 2069: 2065: 2060: 2059: 2053: 2049: 2024: 2020: 2015: 1996: 1843:Type of system 1815: 1798:parallel voting 1786:winner-take-all 1782: 1479:Jackpot system 1440: 1434: 1165: 1070: 1032: 1031: 1019: 1007: 999: 998: 965: 941:Arrow's theorem 931: 921: 920: 889: 859: 848:No-show paradox 829: 815:Cloning paradox 805:Spoiler effects 802: 792: 791: 766: 653: 636: 626: 625: 598: 589:Maximal lottery 556: 537:Thiele's method 526: 496: 428: 418: 417: 403:Approval voting 391:Cardinal voting 387: 332: 326:Maximal lottery 290: 222: 212: 126: 115: 109: 106: 63: 61: 51: 39: 28: 23: 22: 15: 12: 11: 5: 2244: 2234: 2233: 2228: 2223: 2218: 2194: 2193: 2168: 2157:(3): 341–366. 2141: 2109: 2079: 2066: 2064: 2061: 2058: 2057: 2047: 2017: 2016: 2014: 2011: 1995: 1992: 1989: 1988: 1986: 1984: 1982: 1980: 1976: 1975: 1964: 1961: 1959: 1956: 1953: 1947: 1946: 1940: 1937: 1934: 1931: 1927: 1926: 1923: 1920: 1918: 1915: 1912: 1906: 1905: 1894: 1891: 1889: 1886: 1885:(legislative) 1880: 1874: 1873: 1871: 1868: 1866: 1863: 1860: 1854: 1853: 1850: 1849:Size of bonus 1847: 1844: 1841: 1838: 1814: 1811: 1803:Overhang seats 1781: 1778: 1763: 1762: 1757: 1752: 1750: 1747: 1742: 1739: 1738: 1735: 1732: 1730: 1725: 1720: 1717: 1716: 1713: 1710: 1708: 1703: 1700: 1697: 1696: 1691: 1689: 1684: 1681: 1679: 1673: 1672: 1667: 1665: 1660: 1657: 1655: 1649: 1648: 1643: 1641: 1636: 1633: 1631: 1625: 1624: 1619: 1614: 1612: 1609: 1604: 1601: 1600: 1595: 1590: 1588: 1585: 1580: 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Retrieved 2183:. 2024-08-09 2180: 2171: 2154: 2150: 2144: 2133:. Retrieved 2121: 2112: 2100:. Retrieved 2091: 2082: 2070: 2050: 2021: 1997: 1972:is also used 1950: 1943: 1909: 1896:Not used in 1877: 1857: 1816: 1783: 1774: 1766: 1759: 1754: 1744: 1727: 1722: 1705: 1693: 1686: 1676: 1669: 1662: 1652: 1645: 1638: 1628: 1621: 1616: 1606: 1597: 1592: 1582: 1573: 1568: 1558: 1549: 1542: 1532: 1525: 1518: 1508: 1501: 1494: 1484: 1463: 1458:jackpot (%) 1457: 1451: 1441: 1424: 1420: 1418: 1408: 1400: 1387: 1379: 1366: 1358: 1345: 1337: 1324: 1316: 1303: 1295: 1282: 1274: 1261: 1253: 1240: 1232: 1222: 1216: 1210: 1204: 1198: 1181: 1166: 1130: 1121:compensatory 1113: 1086:mixed-member 1081: 1077: 1075: 967: 966: 933: 891: 890: 875:Exaggeration 861: 860: 831: 830: 804: 768: 767: 736:Mixed ballot 691:Compensatory 689: 682: 662:compensatory 659: 654: 638: 600: 599: 558: 557: 528: 527: 498: 497: 485:List-free PR 430: 398:Score voting 389: 388: 334: 333: 321:Ranked pairs 292: 291: 224: 116: 110:October 2024 107: 97: 90: 83: 76: 64: 52:Please help 47:verification 44: 1846:Used since 1209:Vote share 1203:Vote share 1116:conditional 1097:legislature 775:Single vote 678:Conditional 673:Coexistence 522:Quota Borda 512:Schulze STV 470:Closed list 413:STAR voting 358:Borda count 2210:Categories 2187:2024-08-11 2135:2023-06-07 2102:25 January 2063:References 1893:0%-16.66% 1452:bonus (%) 1157:Entre RĂ­os 880:Truncation 609:Cumulative 432:Party-list 207:By country 198:Comparison 80:newspapers 2130:0013-0613 1902:June 2023 1163:Mechanism 1145:Argentina 1101:plurality 1078:plurality 787:Dual-vote 480:Panachage 475:Open list 465:List type 343:Plurality 239:Two-round 227:plurality 150:Economics 2096:Archived 2035:May 2023 1898:May 2023 1837:Country 1456:Size of 1450:Size of 1105:majority 507:Hare STV 146:Politics 144:A joint 2226:Fascism 1994:History 1858:Andorra 517:CPO-STV 367:Baldwin 316:Schulze 311:Minimax 229:methods 94:scholar 2128:  2031:Syriza 1910:France 1878:Greece 1852:Notes 1823:France 1819:Greece 1186:or an 1155:, and 1153:Chubut 1141:France 1133:Greece 382:Coombs 152:series 96:  89:  82:  75:  67:  2013:Notes 1951:Italy 1936:1982 1827:Italy 1784:Many 1143:. 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Index

Majority bonus

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Politics
Economics
Social choice
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Mechanism design
Comparative politics
Comparison
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Single-winner methods
plurality
First preference plurality (FPP)
Two-round
US
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