Nash Equilibrium Problems of Polynomials
Optimization and Control
2023-05-08 v2
Abstract
This paper studies Nash equilibrium problems that are given by polynomial functions. We formulate efficient polynomial optimization problems for computing Nash equilibria. The Lasserre type Moment-SOS relaxations are used to solve them. Under generic assumptions, the method can find a Nash equilibrium if there is one. Moreover, it can find all Nash equilibria if there are finitely many ones of them. The method can also detect nonexistence if there is no Nash equilibrium.
Keywords
Cite
@article{arxiv.2006.09490,
title = {Nash Equilibrium Problems of Polynomials},
author = {Jiawang Nie and Xindong Tang},
journal= {arXiv preprint arXiv:2006.09490},
year = {2023}
}
Comments
26 pages