Generalized Ordinal Nash Games: Variational Approach
Orestes Bueno, John Cotrina, Yboon Garc\'ia

TL;DR
This paper introduces a variational approach to analyze the existence of solutions in generalized ordinal Nash games, where players' preferences are represented by binary relations without requiring utility functions.
Contribution
It presents a novel variational framework for studying generalized ordinal Nash games, extending solution existence analysis beyond utility-based preferences.
Findings
Provides conditions for the existence of solutions in generalized ordinal Nash games.
Extends variational inequality methods to non-utility-based preference relations.
Offers a new analytical tool for game theory with non-standard preferences.
Abstract
It is known that the generalized Nash equilibrium problem can be reformulated as a quasivariational inequality. Our aim in this work is to introduce a variational approach to study the existence of solutions for generalized ordinal Nash games, that is, generalized games where the player preferences are binary relations that do not necessarily admit a utility representation.
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Taxonomy
TopicsEconomic theories and models · Game Theory and Voting Systems · Optimization and Variational Analysis
