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On the Chacteristic Numbers of Voting Games

Author

Listed:
  • 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.

Suggested Citation

  • Mathieu Martin & Vincent Merlin, 2006. "On the Chacteristic Numbers of Voting Games," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 200609, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  • Handle: RePEc:tut:cremwp:200609
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    File URL: https://crem-doc.univ-rennes1.fr/wp/2006/ie-200609.pdf
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    References listed on IDEAS

    as
    1. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    2. Mathieu Martin, 2000. "A note on the non-emptiness of the stability set," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(3), pages 559-565.
    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.
    4. Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October.
    5. Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-161, January.
    6. Le Breton, M & Salles, M, 1990. "The Stability Set of Voting Games: Classification and Genericity Results," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(2), pages 111-127.
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    Cited by:

    1. Kumabe, Masahiro & Mihara, H. Reiju, 2011. "Preference aggregation theory without acyclicity: The core without majority dissatisfaction," Games and Economic Behavior, Elsevier, vol. 72(1), pages 187-201, May.

    More about this item

    Keywords

    voting game; core; stability set;

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D7 - Microeconomics - - Analysis of Collective Decision-Making

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