Work

Existence of Weakly Pareto–Nash Equilibrium for Multiobjective Games with Infinitely Many Players

Year: 2025

Type: article

Abstract: Our work proves the existence of weakly Pareto–Nash equilibrium (PNE) in multiobjective games (MGs) with infinitely many players. First, we demonstrate the existence of weakly PNE under compactness assumptions by using the intersection theorem. Then, we extend the intersection theorem to the non-compact case and obtain a new intersection theorem. Finally, we prove the existence of weakly PNE in MGs with infinitely many players without compactness assumptions.

Source: Axioms

DOI: 10.3390/axioms14070517

Authors: Huaxin Chen, Wensheng Jia

Institution: Guizhou University

Language: English

Topic: Game Theory and Applications

Subfield: Management Science and Operations Research

Field: Decision Sciences

Domain: Social Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: National Natural Science Foundation of China