A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory-Reference-Cited by-同舟云学术

A Discrete Characterization of the Solvability of Equilibrium Problems and Its Application to Game Theory

Published:2023-07-05 Issue:7 Volume:12 Page:666
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Berenguer Maria Isabel¹^ORCID,Gámez Domingo¹,Garralda-Guillem Ana Isabel¹,Ruiz Galán Manuel¹

Affiliation:

1. E.T.S. Ingeniería de Edificación, Department of Applied Mathematics, Institute of Mathematics (IMAG), University of Granada, 18071 Granada, Spain

Abstract

We state a characterization of the existence of equilibrium in terms of certain finite subsets under compactness and transfer upper semicontinuity conditions. In order to derive some consequences on game theory—Nash equilibrium and minimax inequalities—we introduce a weak convexity concept.

Funder

Junta de Andalucia

“Maria de Maeztu” Excellence Unit IMAG

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/7/666/pdf

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