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Noncooperative games with noncompact joint strategies sets: increasing best responses and approximation to equilibrium points. (English) Zbl 1215.91004
Summary: In this paper conditions proposed by R. M. Flores-Hernández and R. Montes-de-Oca [Kybernetika 43, No. 3, 347–368 (2007; Zbl 1170.90513)] which permit to obtain monotone minimizers of unbounded optimization problems on Euclidean spaces are adapted in suitable versions to study noncooperative games on Euclidean spaces with noncompact sets of feasible joint strategies in order to obtain increasing optimal best responses for each player. Moreover, in this noncompact framework an algorithm to approximate the equilibrium points for noncooperative games is supplied.
91A10 Noncooperative games
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