Nash–type equilibria for systems of non-potential equations

Michał Bełdziński and Marek Galewski

Applied Mathematics and Computation, 2020, vol. 385, issue C

Abstract: Based on the Browder–Minty Theorem we obtain abstract existence results for a system of non–potential equations that we further apply to the existence of the Nash–type equilibrium. Applications to systems of semilinear partial differential equations are given.

Keywords: Nash-type equilibrium; Monotone operator; System of semilinear equations (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320304173

DOI: 10.1016/j.amc.2020.125456

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