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Axiomatizations of the core on the universal domain and other natural domains

Author

Listed:
  • Peter Sudhölter

    () (Institute of Mathematical Economics, University of Bielefeld, Postfach 100131, D-33501 Bielefeld, Germany)

  • Yan-An Hwang

    (National Dong Hua University, Hualien, Taiwan)

Abstract

We prove that the core on the set of all transferable utility games with players contained in a universe of at least five members can be axiomatized by the zero inessential game property, covariance under strategic equivalence, anonymity, boundedness, the weak reduced game property, the converse reduced game property, and the reconfirmation property. These properties also characterize the core on certain subsets of games, e.g., on the set of totally balanced games, on the set of balanced games, and on the set of superadditive games. Suitable extensions of these properties yield an axiomatization of the core on sets of nontransferable utility games.

Suggested Citation

  • Peter Sudhölter & Yan-An Hwang, 2001. "Axiomatizations of the core on the universal domain and other natural domains," International Journal of Game Theory, Springer;Game Theory Society, vol. 29(4), pages 597-623.
  • Handle: RePEc:spr:jogath:v:29:y:2001:i:4:p:597-623
    Note: Received September 1999/Final version December 2000
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    Keywords

    TU game · core · kernel; NTU game.;

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