On the Chacteristic Numbers of Voting Games
AbstractThis 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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Date of creation: 2006
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Publication status: Published, International Game Theory Review, 2006, 8, 4, 643--654
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voting game; core; stability set;
Other versions of this item:
- 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.
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D7 - Microeconomics - - Analysis of Collective Decision-Making
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- Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
- Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October.
- 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.
- Peleg, Bezalel, 1978. "Consistent Voting Systems," Econometrica, Econometric Society, vol. 46(1), pages 153-61, January.
- 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.
- Mathieu Martin, 2000. "A note on the non-emptiness of the stability set," Social Choice and Welfare, Springer, vol. 17(3), pages 559-565.
- 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.
- 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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