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On the Chacteristic Numbers of Voting Games

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Author Info

  • Mathieu Martin

    (THEMA - CNRS)

  • Vincent Merlin

    (CREM – CNRS)

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 [6] for quota games.

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File URL: http://crem.univ-rennes1.fr/wp/2006/ie-200609.pdf
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Bibliographic Info

Paper provided by Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS in its series Economics Working Paper Archive (University of Rennes 1 & University of Caen) with number 200609.

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Date of creation: 2006
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Handle: RePEc:tut:cremwp:200609

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Postal: CREM (UMR CNRS 6211) - Faculty of Economics, 7 place Hoche, 35065 Rennes Cedex - France
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Keywords: voting game; core; stability set;

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References

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  1. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-61, January.
  2. 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.
  3. Mathieu Martin, 2000. "A note on the non-emptiness of the stability set," Social Choice and Welfare, Springer, vol. 17(3), pages 559-565.
  4. Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October.
  5. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
  6. 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.
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Cited by:
  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.

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