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International Journal of Game Theory

, Volume 14, Issue 2, pp 93–101 | Cite as

Necessary and sufficient conditions for stability of effectivity functions

  • H. Keiding
Papers

Abstract

An effectivity functionE assigns to every coalitionS of players a familyE (S) of subsetsB of an outcome setA such thatS can force the outcome to belong to any of the setsB inE (S). The effectivity functionE is stable if for every preference profile there is an outcomex with the property that there is no coalitionS and subsetB ofA such thatB εE (S) and each player inS prefers everyy εB tox.

The paper gives a necessary and sufficient condition for an effectivity function to be stable.

Keywords

Economic Theory Game Theory Effectivity Function Outcome setA Preference Profile 
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. Moulin, H., andB. Peleg: Cores of effectivity functions and implementation theory. Journal of Mathematical Economics10, 1982, 115–145.Google Scholar
  2. Peleg, B.: Convex effectivity functions. The Hebrew University, Jerusalem 1982.Google Scholar
  3. —: Game Theoretic analysis of voting in committees. Cambridge University Press, Cambridge (forthcoming) 1983a.Google Scholar
  4. —: Core stability and duality of effectivity functions. The Hebrew University, Jerusalem 1983b.Google Scholar

Copyright information

© Physica-Verlag 1985

Authors and Affiliations

  • H. Keiding
    • 1
  1. 1.Institute of EconomicsUniversity of CopenhagenCopenhagen KDenmark

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