Hyperfinite Von Neumann games |
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Authors: | Alain A. Lewis |
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Affiliation: | 1. Department of Mathematics, Cornell University, Ithaca, NY 14853, U.S.A.;2. Department of Mathematics, University of Illinois, Urbana, IL 61801, U.S.A. |
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Abstract: | Let be an ω1-saturated enlargement in the sense of Keisler (1977) and let be a hyperfinite finite set in 1. Following the suggestion of Wesley (1971) we define a class of hyperfinite games of the form: , and show that measure-theoretic analogues of the kernel and bargaining set exist in this nonstandard setting such that their standard parts Loeb-measurable measurable on the Loeb space generated by the internal 1finitely additive measure . |
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Keywords: | Nonstandard analysis hyperfinite sets Von Neumann games solution concepts and Loeb spaces |
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