• Thumbnail for Apportionment paradox
    example of the apportionment paradox known as "the Alabama paradox" was discovered in the context of United States congressional apportionment in 1880,: 228–231 ...
    13 KB (1,658 words) - 19:41, 11 July 2025
  • first studied in the context of apportionment. In this context, failure to satisfy coherence is called the new states paradox: when a new U.S. state enters...
    14 KB (2,100 words) - 22:29, 11 July 2025
  • Thumbnail for Quota method
    Quota method (category Apportionment methods)
    called apportionment paradoxes: Increasing the number of seats in a legislature can decrease a party's apportionment of seats, called the Alabama paradox. Adding...
    13 KB (1,404 words) - 11:34, 12 July 2025
  • Thumbnail for Vote-ratio monotonicity
    B {\displaystyle B} gains a seat. An apportionment method violating this rule may encounter population paradoxes. A particularly severe variant, where...
    7 KB (748 words) - 21:30, 26 May 2025
  • wanted to do. Apportionment paradox: Some systems of apportioning representation can have unintuitive results due to rounding Alabama paradox: Increasing...
    57 KB (7,957 words) - 15:52, 2 July 2025
  • Thumbnail for Quota rule
    Quota rule (category Apportionment (politics))
    proved in 1980 that if an apportionment method satisfies the quota rule, it must fail to satisfy some apportionment paradox. For instance, although largest...
    8 KB (981 words) - 02:58, 31 July 2024
  • Thumbnail for United States congressional apportionment
    and the method of apportionment to be carried into force at that time are enacted prior to the census. The decennial apportionment also determines the...
    80 KB (4,891 words) - 07:47, 9 March 2025
  • Thumbnail for Apportionment (politics)
    related to apportionment. The apportionment by country page describes the specific practices used around the world. The Mathematics of apportionment page describes...
    21 KB (2,680 words) - 10:48, 10 July 2025
  • A paradox is a logically self-contradictory statement or a statement that runs contrary to one's expectation. It is a statement that, despite apparently...
    24 KB (2,724 words) - 19:51, 16 July 2025
  • Thumbnail for Highest averages method
    metrics and are less susceptible to apportionment paradoxes. In particular, divisor methods avoid the population paradox and spoiler effects, unlike the largest...
    63 KB (4,070 words) - 09:12, 1 July 2025
  • Thumbnail for Mathematics of apportionment
    an apportionment problem involves distributing seats in a legislature between different federal states or political parties. However, apportionment methods...
    35 KB (5,366 words) - 18:40, 22 May 2025
  • Thumbnail for Election apportionment diagram
    election apportionment diagram closely mirroring the actual seating layout of the United States House of Representatives An election apportionment diagram...
    7 KB (626 words) - 04:35, 3 May 2025
  • Formulary apportionment, a method of allocating corporate taxation between jurisdictions Fair division, in game theory Apportionment paradox, various paradoxical...
    1 KB (164 words) - 19:24, 16 May 2022
  • Thumbnail for List of United States congressional districts
    congressional district Apportionment United States congressional apportionment General ticket Redistricting Apportionment paradox Gerrymandering Voting...
    146 KB (5,115 words) - 15:09, 7 July 2025
  • Thumbnail for Sainte-Laguë method
    Sainte-Laguë method (category Apportionment methods)
    Different apportionment methods, of which the Sainte-Laguë method is one, exist to distribute the seats according to the votes. Different apportionment methods...
    27 KB (3,008 words) - 09:07, 14 July 2025
  • Friedrich (ed.), "Divisor Methods of Apportionment: Divide and Round", Proportional Representation: Apportionment Methods and Their Applications, Cham:...
    2 KB (162 words) - 11:54, 25 May 2025
  • Thumbnail for Condorcet paradox
    In social choice theory, Condorcet's voting paradox is a fundamental discovery by the Marquis de Condorcet that majority rule is inherently self-contradictory...
    26 KB (3,469 words) - 11:09, 24 June 2025
  • Thumbnail for Negative responsiveness
    social choice, the negative response, perversity, or additional support paradox is a pathological behavior of some voting rules where a candidate loses...
    20 KB (2,163 words) - 14:19, 20 July 2025
  • Thumbnail for Biproportional apportionment
    so called lower apportionment the seats are distributed to the regional party list respecting the results from the upper apportionment. This can be seen...
    12 KB (1,193 words) - 07:27, 7 July 2025
  • respective state's constitution or court orders in the apportionment and redistricting cycle. Apportionment in the United States involves dividing the 435 voting...
    15 KB (1,890 words) - 13:11, 8 July 2025
  • Thumbnail for Spoiler effect
    method of party-list representation, where it is called the new states paradox. A new party entering an election causes some seats to shift from one unrelated...
    48 KB (5,011 words) - 08:27, 15 July 2025
  • Thumbnail for Doctrinal paradox
    discursive dilemma or doctrinal paradox is a paradox of social choice and judgement aggregation. It extends the voting paradox and Arrow's theorem to situations...
    6 KB (839 words) - 18:58, 18 May 2025
  • Thumbnail for 2007 Ontario electoral reform referendum
    formula the largest remainder method may result in the so-called Apportionment paradox in allocating seats. Since the number of local seats is established...
    35 KB (3,844 words) - 11:37, 5 February 2025
  • Thumbnail for Huntington–Hill method
    Huntington–Hill method (category Apportionment methods)
    Friedrich (ed.), "Divisor Methods of Apportionment: Divide and Round", Proportional Representation: Apportionment Methods and Their Applications, Cham:...
    10 KB (893 words) - 13:34, 26 May 2025
  • Thumbnail for Participation criterion
    systems using largest remainders for apportionment (such as STV or Hamilton's method) allow for no-show paradoxes. In Germany, situations where a voter's...
    27 KB (2,617 words) - 08:38, 2 July 2025
  • Thumbnail for Arrow's impossibility theorem
    This result was first shown by the Marquis de Condorcet, whose voting paradox showed the impossibility of logically-consistent majority rule; Arrow's...
    72 KB (6,839 words) - 05:37, 16 July 2025
  • Thumbnail for Paradox of the plankton
    In aquatic biology, the paradox of the plankton describes the situation in which a limited range of resources supports an unexpectedly wide range of plankton...
    10 KB (1,106 words) - 12:02, 18 July 2025
  • Thumbnail for Rank-index method
    In apportionment theory, rank-index methods: Sec.8  are a set of apportionment methods that generalize the divisor method. These have also been called...
    7 KB (967 words) - 19:01, 26 May 2025
  • Thumbnail for Best-is-worst paradox
    elected when all ballots are reversed are sometimes called best-is-worst paradoxes, and can occur in instant-runoff voting and minimax. Methods that satisfy...
    11 KB (935 words) - 01:27, 22 April 2025
  • Thumbnail for Party-list proportional representation
    irrelevant, seat apportionment being calculated at national level. List proportional representation may also be combined with other apportionment methods in...
    31 KB (1,151 words) - 16:36, 13 April 2025