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A Necessary and Sufficient Condition for the Nonemptiness of the Cores of Partitioning Games

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  • Mamoru Kaneko

    (University of Tsukuba)

Abstract

Let N be a finite set of players and let pi be a class of coalitions of N. We consider games with and without sidepayments such that only the coalitions in pi play essential roles but not the others. For an arbitrary pi, we get the class of all such games. The purpose of this note is to provide a necessary and sufficient condition with respect to pi for the nonemptiness of the cores of all games in the class.

Suggested Citation

  • Mamoru Kaneko, 1980. "A Necessary and Sufficient Condition for the Nonemptiness of the Cores of Partitioning Games," Cowles Foundation Discussion Papers 566, Cowles Foundation for Research in Economics, Yale University.
    • Handle: RePEc:cwl:cwldpp:566
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    References listed on IDEAS

    as
    1. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
    2. Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
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