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Condorcet Choice Functions And Maximal Elements

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Author Info
Josep Enric Peris Ferrando () (Universidad de Alicante)
Begoña Subiza () (Universidad de Alicante)

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Abstract

Choice functions on tournaments always select the maximal element (Condorcet winner), provided they exist, but this property does not hold in the more general case of weak tournaments. In this paper we analyze the relationship between the usual choice functions and the set of maximal elements in weak tournaments. We introduce choice functions selecting maximal elements, whenever they exist. Moreover, we compare these choice functions with those that already exist in the literature.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-2003-40.pdf
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File Function: Fisrt version / Primera version, 2003
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Publisher Info
Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 2003-40.

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Length: 23 pages
Date of creation: Dec 2003
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:2003-40

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Related research
Keywords: choice functions; tournaments; maximal elements.;

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Find related papers by JEL classification:
D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Laffond G. & Laslier, J. F. & Le Breton, M., 1996. "Condorcet choice correspondences: A set-theoretical comparison," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 59-59, February. [Downloadable!] (restricted)
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  2. Laffond G. & Laslier J. F. & Le Breton M., 1993. "The Bipartisan Set of a Tournament Game," Games and Economic Behavior, Elsevier, vol. 5(1), pages 182-201, January. [Downloadable!] (restricted)
  3. Peris, Josep E. & Subiza, Begona, 1994. "Maximal elements of not necessarily acyclic binary relations," Economics Letters, Elsevier, vol. 44(4), pages 385-388, April. [Downloadable!] (restricted)
  4. Bhaskar Dutta & Jean-Francois Laslier, 1999. "Comparison functions and choice correspondences," Social Choice and Welfare, Springer, vol. 16(4), pages 513-532. [Downloadable!] (restricted)
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  5. Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer, vol. 16(2), pages 217-231. [Downloadable!] (restricted)
  6. Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Gilbert Laffond & Jean Lainé, 2009. "Condorcet choice and the Ostrogorski paradox," Social Choice and Welfare, Springer, vol. 32(2), pages 317-333, February. [Downloadable!] (restricted)
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