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International Journal of Game Theory

, Volume 8, Issue 1, pp 55–61 | Cite as

The vetoers in a simple game with ordinal preferences

  • K. Nakamura
Papers

Abstract

We consider a core of a simple game with ordinal preferences on a set of alternative outcomes Ω. When a player's strict preference relation takes any logically possible form of acyclic binary relation on Ω, necessary conditions for a simple game to have a nonempty core are given. If Ω is a finite set, the conditions are also sufficient. Further some related results are obtained.

Keywords

Economic Theory Game Theory Preference Relation Binary Relation Related Result 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Dummett, M., andR. Farquharson: Stability in Voting, Econometrica29, 1961, 33–43.Google Scholar
  2. Blau, J.H., andP. Deb: Social Decision Functions and the Veto, Econometrica45, 1977, 871–878.Google Scholar
  3. Nakamura, K.: The Core of a Simple Game with Ordinal Preferences, Int. J. of Game Theory4, 1975a, 95–104.Google Scholar
  4. The Vetoers in a Simple Game with Ordinal Preferences, A Tech. Rep. at the Dept. of Social Engineering, 1975b; also reproduced as a Res. Rep. B-No 36 at the Dept. of Information Sciences, 1976.Google Scholar
  5. Peleg, B.: Consistent Voting Systems. To appear in Econometrica, 1976.Google Scholar
  6. Shapley, L.S.: Simple Games: An Outline of the Descriptive Theory. Behavioral Science7, 1962, 59–66.Google Scholar

Copyright information

© Physica-Verlag 1979

Authors and Affiliations

  • K. Nakamura
    • 1
  1. 1.Dept. of Humanities and Social SciencesTokyo Institute of TechnologyTokyoJapan

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