Article ID Journal Published Year Pages File Type
5062165 Economics Letters 2007 4 Pages PDF
Abstract

In this paper, we prove a result ensuring the existence of pure-strategy Nash equilibrium in non-cooperative games. We apply the unity partition theorem and a fixed point theorem due to Górniewicz [Górniewicz, L., 1975. A Lefschetz-type fixed point theorem. Fundamenta Mathematicae. 88, 103-115].

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Social Sciences and Humanities Economics, Econometrics and Finance Economics and Econometrics
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On the existence of pure-strategy Nash equilibrium
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