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An explicit bound on e for nonemptiness of e-cores of games

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  • A. Kovalenkov
  • M. Holtz Wooders

Abstract

We consider parameterized collections of games without side payments and determine a bound on E so that all sufficiently large games in the collection have non-empty E-cores. Our result makes explicit the relationship between the required size of E for non-emptiness of the E-core, the parameters describing the collection of games, and the size of the total player set. Given the parameters describing the collection, the larger the game, the smaller the E that can be chosen

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Bibliographic Info

Paper provided by THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise in its series THEMA Working Papers with number 99-37.

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Date of creation: 1999
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Handle: RePEc:ema:worpap:99-37

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  1. Kaneko, Mamoru & Wooders, Myrna Holtz, 1982. "Cores of partitioning games," Mathematical Social Sciences, Elsevier, Elsevier, vol. 3(4), pages 313-327, December.
  2. Kaneko, Mamoru & Wooders, Myrna Holtz, 1996. "The Nonemptiness of the f-Core of a Game without Side Payments," International Journal of Game Theory, Springer, Springer, vol. 25(2), pages 245-58.
  3. Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers, Cowles Foundation for Research in Economics, Yale University 182R, Cowles Foundation for Research in Economics, Yale University.
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Cited by:
  1. Kovalenkov, Alexander & Wooders, Myrna, 2003. "Approximate cores of games and economies with clubs," Journal of Economic Theory, Elsevier, Elsevier, vol. 110(1), pages 87-120, May.

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