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  for quota games.
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Bibliographic InfoPaper 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.
Date of creation: 2006
Date of revision:
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Postal: CREM (UMR CNRS 6211) - Faculty of Economics, 7 place Hoche, 35065 Rennes Cedex - France
Other versions of this item:
- C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
- D7 - Microeconomics - - Analysis of Collective Decision-Making
This paper has been announced in the following NEP Reports:
- NEP-ALL-2006-06-03 (All new papers)
- NEP-CDM-2006-06-03 (Collective Decision-Making)
- NEP-GTH-2006-06-03 (Game Theory)
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.:
- Rubinstein, Ariel, 1980. "Stability of decision systems under majority rule," Journal of Economic Theory, Elsevier, vol. 23(2), pages 150-159, October.
- 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.
- Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-36, May.
- 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.
- 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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