Existence of equilibrium for generalized games in choice form and applications

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.

Keywords:

• Equilibrium in choice
• generalized game in choice form
• selection theorem
• vector equilibrium problem

AMS Subject Classifications:

• 90C33
• 91A06
• 91B50
• 91B52

Acknowledgements

The author is indebted to the anonymous referee for helpful suggestions and valuable comments.

Notes

No potential conflict of interest was reported by the author.