Paradoxes of voting in list systems of proportional representation

Deemen, Adrian Van

doi:10.1016/0261-3794(93)90025-f

Cited by 21 publications

(14 citation statements)

References 3 publications

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“…In this paper we consider a description of a proportional electoral system and a number of electoral paradoxes. The latter are mathematically correct and sometimes practically possible results of elections which contradict our intuition, see also [1,2,3].…”

Section: Introductionmentioning

confidence: 71%

Mathematical Aspects of Electoral Systems

Konstantinov¹

2007

AIP Conference Proceedings

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Section: Introductionmentioning

confidence: 71%

Mathematical Aspects of Electoral Systems

Konstantinov¹

2007

AIP Conference Proceedings

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“…Van Deemen 1993;Kurrild-Klitgaard 2008). In this case, we are just focusing on government coalitions as alternatives rather than individual parties.…”

Section: Coalitions and Compound Majoritiesmentioning

confidence: 99%

“…2 Most such studies have dealt with voting on legislative proposals or elections in plurality/majority systems (cf., e.g., Riker 1982;Nurmi 1987). However, recent work has also turned the attention to the types of voting paradoxes that may occur in systems of proportional representation (e.g., Van Deemen 1993;Van Deemen and Vergunst 1998;Härd 2000;Kurrild-Klitgaard 2008). Common for these studies is the identification of the potential discrepancy between the voters' preferences and the election outcomes.…”

Section: Introductionmentioning

confidence: 99%

Election Inversions, Coalitions and Proportional Representation: Examples from Danish Elections

Kurrild-Klitgaard

2011

SSRN Journal

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Abstract. When collective choices are made in more than one round and with different groups of decision-makers, so-called election inversions may take place, where each group have different majority outcomes. We identify two versions of such compound majority paradoxes specifically, but not exclusively, relevant for systems of proportional representation with governing coalitions: The "Threshold Paradox" and the "Federal Paradox". The empirical relevance of the two paradoxes is illustrated with examples from three Danish elections (1971, 1990, 2011), where a majority of the voters voted for one bloc of parties but where a majority of the seats fell to another.

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“…It can be shown that each of these paradoxes may occur in the Dutch system of proportional representation (Van Deemen, 1993). However, do they occur in reality?…”

Section: Majority-plurality Paradoxes In the Four Electionsmentioning

confidence: 99%

“…We also investigate the occurrence of other paradoxes related to the plurality rule and the majority rule. These so-called majority-plurality paradoxes are presented in Van Deemen (1993). The first paradox of this kind occurs when a party is preferred by a majority of the electorate to another party and yet receives less seats than that other party.…”

Section: Introductionmentioning

confidence: 99%

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Deemen

Vergunst

1998

Public Choice

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In this paper we analyze four national elections held in 1982, 1986, 1989 and 1994 in the Netherlands on the occurrence of the Condorcet paradox. In addition, we investigate these elections on the occurrence of three so-called majority-plurality paradoxes. The first paradox states that a party having a majority over another party may receive less seats. The second states that a Condorcet winner may not receive the largest number of seats and even may not receive a seat at all. The third says that the majority relation may be the reverse of the ranking of parties in terms of numbers of seats.

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Paradoxes of voting in list systems of proportional representation

Cited by 21 publications

References 3 publications

Mathematical Aspects of Electoral Systems

Mathematical Aspects of Electoral Systems

Election Inversions, Coalitions and Proportional Representation: Examples from Danish Elections

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