Approximate solutions and Tikhonov well-posedness for Nash equilibria (Q2771638)

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scientific article; zbMATH DE number 1706195
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Approximate solutions and Tikhonov well-posedness for Nash equilibria
scientific article; zbMATH DE number 1706195

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    24 February 2002
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    well-posedness
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    non-cooperative games
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    Nash equilibrium
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    Tikhonov well-posedness
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    Approximate solutions and Tikhonov well-posedness for Nash equilibria (English)
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    This contribution is in the framework of non-cooperative games with focus on the main solution concept: the Nash equilibrium (NE). The properties of Tikhonov well-posedness for Nash equilibria (briefly \(T\)-wp for NE) will be analyzed with a particular attention to its generalization: Tikhonov well-posedness in value (\(T^v\)-wp) which is an ordinal property. Metric characterizations of \(T^v\)-wp will be discussed and known results, which give existence and uniqueness of NE in oligopoly model, will be proved to guarantee \(T\)-wp too.NEWLINENEWLINEFor the entire collection see [Zbl 0992.49001].
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