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The Positive Core of a Cooperative Game

Author

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  • Gooni Orshan
  • Peter Sudholter

Abstract

The positive core is a nonempty extension of the core of transferable utility games. If the core is nonempty, then it coincides with the core. It shares many properties with the core. Six well-known axioms which are employed in some axiomatizations of the core, the prenucleolus, or the positive prekernel, and one new intuitive axiom, characterize the positive core on any infinite universe of players. This new axiom requires that the solution of a game, whenever it is nonempty, contains an element which is invariant under any symmetry of the game.

Suggested Citation

  • Gooni Orshan & Peter Sudholter, 2001. "The Positive Core of a Cooperative Game," Discussion Paper Series dp268, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp268
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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp_268.pdf
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    References listed on IDEAS

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    1. Peleg, B, 1986. "On the Reduced Game Property and Its Converse," International Journal of Game Theory, Springer;Game Theory Society, vol. 15(3), pages 187-200.
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    Cited by:

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    2. Camelia Bejan & Juan Gómez, 2009. "Core extensions for non-balanced TU-games," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(1), pages 3-16, March.

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