An explicit bound on
We consider parameterized collections of games without side payments and determine a bound on epsilon so that all sufficiently large games in the collection have non-empty epsilon-cores. The required size of epsilon depends on: (a) the number of approximate player types and the accuracy of this approximation; (b) the size of approximately effective small groups; (c) the size of the bound on maximal per-capita payoffs achievable in coalitions; and (d) a measure on the extent to which the payoff sets of the games are bounded away from being ``flat.'' Our result makes explicit the relationship between the required size of epsilon for non-emptiness of the epsilon-core, the parameters describing the collection.
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- Herbert E. Scarf, 1965. "The Core of an N Person Game," Cowles Foundation Discussion Papers 182R, Cowles Foundation for Research in Economics, Yale University.
- Myrna Holtz Wooders, 1992. "Large Games and Economies With Effective Small Groups," Discussion Paper Serie B 215, University of Bonn, Germany, revised Aug 1992.
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mwooders-98-03, University of Toronto, Department of Economics.
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620, Cowles Foundation for Research in Economics, Yale University.
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- Kaneko, Mamoru & Wooders, Myrna Holtz, 1996. "The Nonemptiness of the f-Core of a Game without Side Payments," International Journal of Game Theory, Springer, vol. 25(2), pages 245-58.
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859, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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