Condorcet choice functions and maximal elements
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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Volume (Year): 24 (2005)
Issue (Month): 3 (06)
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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.:
- 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.
- Josep Enric Peris Ferrando & Begoña Subiza Martínez, 1997.
"Condorcet choice correspondences for weak tournaments,"
Working Papers. Serie AD
1997-05, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Josep E. Peris & BegoÓa Subiza, 1999. "Condorcet choice correspondences for weak tournaments," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 16(2), pages 217-231.
- 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.
- Laffond, Gilbert & Laslier, Jean Francois & Le Breton, Michel, 1995. "Condorcet choice correspondences: A set-theoretical comparison," Mathematical Social Sciences, Elsevier, vol. 30(1), pages 23-35, August.
- Bhaskar Dutta & Jean-Francois Laslier, 1999.
"Comparison functions and choice correspondences,"
Social Choice and Welfare,
Springer;The Society for Social Choice and Welfare, vol. 16(4), pages 513-532.
- Peris, Josep E. & Subiza, Begona, 1994.
"Maximal elements of not necessarily acyclic binary relations,"
Elsevier, vol. 44(4), pages 385-388, April.
- Josep Enric Peris Ferrando & Begoña Subiza Martínez, 1992. "Maximal elements of non necessarily acyclic binary relations," Working Papers. Serie AD 1992-07, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Dutta, Bhaskar, 1988. "Covering sets and a new condorcet choice correspondence," Journal of Economic Theory, Elsevier, vol. 44(1), pages 63-80, February.
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