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Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee

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  • Joaquín Pérez
  • Omar De la Cruz

Abstract

Same parliaments, to form a committee of size $$q$$ , use a voting process like the following: every parliamentary member votes for one out of a fixed set of candidates, and those $$q$$ candidates receiving more votes are elected for the committee. Assuming total discipline of vote, this is a game form in which players are the parliamentary groups. We investigate, according to some natural hypotheses about preferences, the likely distribution of the members of this committee. The main results are: (a) when fractional votes are allowed, there is a complete agreement between the distribution among the groups of the elected candidates that are outcomes of a Nash equilibrium and the distribution that, according to the size of the groups, would compute the Jefferson-d’Hondt allocation rule, and (b) when fractional votes are not allowed, there is a near agreement for a majority of situations. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Joaquín Pérez & Omar De la Cruz, 2014. "Implementation of Jefferson-d’Hondt rule in the formation of a parliamentary committee," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 17-30, January.
    • Handle: RePEc:spr:sochwe:v:42:y:2014:i:1:p:17-30
    DOI: 10.1007/s00355-012-0718-7
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    References listed on IDEAS

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    1. Dhillon, Amrita & Lockwood, Ben, 2004. "When are plurality rule voting games dominance-solvable?," Games and Economic Behavior, Elsevier, vol. 46(1), pages 55-75, January.
    2. Murat R. Sertel & M. Remzi Sanver, 2004. "Strong equilibrium outcomes of voting games ¶are the generalized Condorcet winners," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 22(2), pages 331-347, April.
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    Cited by:

    1. Omar de la Cruz Vicente & Fernando Tomé Bermejo & Rafael Ramiro Moreno, 2021. "A Disproportionality Bias in the Bureau of the Regional Assembly of Madrid," Games, MDPI, vol. 12(4), pages 1-25, December.
    2. Karpov, Alexander, 2015. "Alliance incentives under the D’Hondt method," Mathematical Social Sciences, Elsevier, vol. 74(C), pages 1-7.

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