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Nash–type equilibria for systems of non-potential equations

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  • Bełdziński, Michał
  • Galewski, Marek

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.

Suggested Citation

  • Bełdziński, Michał & Galewski, Marek, 2020. "Nash–type equilibria for systems of non-potential equations," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    • Handle: RePEc:eee:apmaco:v:385:y:2020:i:c:s0096300320304173
    DOI: 10.1016/j.amc.2020.125456
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    References listed on IDEAS

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    1. Senda Ounaies & Jean-Marc Bonnisseau & Souhail Chebbi, 2016. "Equilibrium of a production economy with noncompact attainable allocations set," Documents de travail du Centre d'Economie de la Sorbonne 16056r, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne, revised Oct 2017.
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