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Core equivalence theorems for infinite convex games

Ezra Einy, Ron Holzman, Dov Monderer and Benyamin Shitovitz

UC3M Working papers. Economics from Universidad Carlos III de Madrid. Departamento de Economía

Abstract: We show that the core of a continuous convex game on a measurable space of players is a von Neumann-Morgenstern stable set. We also extend the definition of the Mas-Colell bargaining set to games with a measurable space of players, and show that for continuous convex games the core may be strictly included in the bargaining set but it coincides with the set of all countably additive payoff measures in the bargaining set. We provide examples which show that the continuity assumption is essential to our results.

Date: 1996-02
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Citations: View citations in EconPapers (2)

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