Time-Dependent Generalized Nash Equilibrium Problem

TL;DR

This paper establishes an existence theorem for time-dependent generalized Nash equilibria using fixed point methods, with applications to dynamic abstract economies, advancing the theoretical understanding of dynamic strategic interactions.

Contribution

It introduces an existence proof for time-dependent generalized Nash equilibria under generalized convexity, extending equilibrium theory to dynamic settings.

Findings

Existence of equilibrium proven under generalized convexity.

Application demonstrated in dynamic abstract economy.

Theoretical framework extends static models to time-dependent scenarios.

Abstract

We prove an existence result for the time-dependent generalized Nash equilibrium problem under generalized convexity using a fixed point theorem. Furthermore, an application to the dynamic abstract economy is considered.