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The set of undominated imputations and the core: an axiomatic approach

Author

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  • Francesc Llerena
  • Carlos Rafels Pallarola

    (Universitat de Barcelona)

Abstract

This paper provides an axiomatic framework to compare the D-core (the set of undominated imputations) and the core of a cooperative game with transferable utility. Theorem 1 states that the D-core is the only solution satisfying projection consistency, reasonableness (from above), ()-antimonotonicity, and modularity. Theorem 2 characterizes the core replacing ()-antimonotonicity by antimonotonicity. Moreover, these axioms also characterize the core on the domain of convex games, totally balanced games, balanced games, and superadditive games.

Suggested Citation

  • Francesc Llerena & Carlos Rafels Pallarola, 2005. "The set of undominated imputations and the core: an axiomatic approach," Working Papers in Economics 144, Universitat de Barcelona. Espai de Recerca en Economia.
    • Handle: RePEc:bar:bedcje:2005144
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    References listed on IDEAS

    as
    1. Tadenuma, K, 1992. "Reduced Games, Consistency, and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 20(4), pages 325-334.
    2. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
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    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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