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On the Chacteristic Numbers of Voting Games

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Author Info
Vincent Merlin () (CREM - Centre de Recherche en Economie et Management - CNRS : UMR6211 - Université Rennes I - Université de Caen)
Matthieu Martin (THEMA - Théorie économique, modélisation et applications - CNRS : UMR8184 - Université de Cergy Pontoise)

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Abstract

This paper deals with the non-emptiness of the stability set for any proper voting game. We present an upper bound on the number of alternatives which guarantees the non emptiness of this solution concept. We show that this bound is greater than or equal to the one given by Le Breton and Salles (1990) for quota games.

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Publisher Info
Paper provided by HAL in its series Post-Print with number halshs-00010172_v1.

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Date of creation: 2006
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Publication status: Published, International Game Theory Review, 2006, 8, 4, 643--654
Handle: RePEc:hal:journl:halshs-00010172_v1

Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00010172/en/
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Related research
Keywords: voting game; core; stability set;

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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.:
  1. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-61, January. [Downloadable!] (restricted)
  2. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May. [Downloadable!] (restricted)
  3. Le Breton, Michel, 1990. "On some combinatorial problems arising in the theory of voting games," Mathematical Social Sciences, Elsevier, vol. 19(2), pages 179-193, April. [Downloadable!] (restricted)
  4. Mathieu Martin, 2000. "A note on the non-emptiness of the stability set," Social Choice and Welfare, Springer, vol. 17(3), pages 559-565. [Downloadable!] (restricted)
  5. Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October. [Downloadable!] (restricted)
  6. Le Breton, M & Salles, M, 1990. "The Stability Set of Voting Games: Classification and Genericity Results," International Journal of Game Theory, Springer, vol. 19(2), pages 111-27.
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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. Kumabe, Masahiro & Mihara, H. Reiju, 2008. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," MPRA Paper 11728, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2009-12-16.

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