Existence of the Nash equilibrium in discontinuous games (Q1022318)
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scientific article; zbMATH DE number 5563780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of the Nash equilibrium in discontinuous games |
scientific article; zbMATH DE number 5563780 |
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Existence of the Nash equilibrium in discontinuous games (English)
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10 June 2009
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In this note, the authors prove the existence of a Nash equilibrium for some strategic games. These games have compact strategy sets, quasiconcave payoff functions and are ``better-reply secure''. Altogether, the result is very similar to, but weaker than, the result in \textit{P. J. Reny} [Econometrica 67, No.~5, 1029--1056 (1999; Zbl 1023.91501)]. The proof is simple and based on a Fan-Browder type theorem.
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existence of Nash equilibria
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discontinuous games
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better reply secure
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