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Existence of equilibrium for generalized games in choice form and applications

2016/04/30 by Monica Patriche, Patriche, Monica
Computer Science · Decision Sciences · Economics, Econometrics and Finance · Mathematics · #Economic theories and models #FOS: Mathematics #Game Theory and Applications #Optimization and Control (math.OC) #Optimization and Variational Analysis #math.OC

paper · pdf · doi:10.48550/arxiv.1605.00117

20 pages

openalex publication_date 2016/04/30 · arxiv created 2016/05/16 · arxiv updated 2016/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper has two central aims: first, to provide simple conditions under which the generalized games in choice form and, consequently, the abstract economies, admit equilibrium; second, to study the solvability of several types of systems of vector quasi-equilibrium problems as an application. Our work outlines that there still is much to be gained from using the results concerning the existence of equilibrium of games as tools of research for other optimization problems.

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