A survey on algorithms for Nash equilibria in finite normal-form games

H Li, W Huang, Z Duan, DH Mguni, K Shao… - Computer Science …, 2024 - Elsevier
Nash equilibrium is one of the most influential solution concepts in game theory. With the
development of computer science and artificial intelligence, there is an increasing demand …

A polynomial-time algorithm for 1/3-approximate Nash equilibria in bimatrix games

A Deligkas, M Fasoulakis, E Markakis - ACM Transactions on Algorithms, 2023 - dl.acm.org
Since the celebrated PPAD-completeness result for Nash equilibria in bimatrix games, a
long line of research has focused on polynomial-time algorithms that compute ε-approximate …

A polynomial-time algorithm for 1/2-well-supported nash equilibria in bimatrix games

A Deligkas, M Fasoulakis, E Markakis - SIAM Journal on Computing, 2023 - SIAM
Since the seminal PPAD-completeness result for computing a Nash equilibrium even in two-
player games, an important line of research has focused on relaxations achievable in …

The Complexity of Symmetric Bimatrix Games with Common Payoffs

A Ghosh, A Hollender - arxiv preprint arxiv:2410.08031, 2024 - arxiv.org
We study symmetric bimatrix games that also have the common-payoff property, ie, the two
players receive the same payoff at any outcome of the game. Due to the symmetry property …

[PDF][PDF] Multi-player approximate Nash equilibria

A Czumaj, M Fasoulakis, M Jurdziński - Proceedings of the 16th …, 2017 - ifaamas.org
Multi-player approximate Nash equilibria Page 1 Multi-player approximate Nash equilibria ∗
(Extended Abstract) Artur Czumaj1 Michail Fasoulakis1,2 Marcin Jurdzinski1 Department of …

An empirical study of finding approximate equilibria in bimatrix games

J Fearnley, TP Igwe, R Savani - International Symposium on Experimental …, 2015 - Springer
While there have been a number of studies about the efficacy of methods to find exact Nash
equilibria in bimatrix games, there has been little empirical work on finding approximate …

On the communication complexity of approximate Nash equilibria

PW Goldberg, A Pastink - Games and Economic Behavior, 2014 - Elsevier
We study the problem of computing approximate Nash equilibria of bimatrix games, in a
setting where players initially know their own payoffs but not the other player's. In order to …

Computing Game Symmetries and Equilibria That Respect Them

E Tewolde, BH Zhang, C Oesterheld… - arxiv preprint arxiv …, 2025 - arxiv.org
Strategic interactions can be represented more concisely, and analyzed and solved more
efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also …

Approximate well-supported Nash equilibria in symmetric bimatrix games

A Czumaj, M Fasoulakis, M Jurdziński - International Symposium on …, 2014 - Springer
The ε-well-supported Nash equilibrium is a strong notion of approximation of a Nash
equilibrium, where no player has an incentive greater than ε to deviate from any of the pure …

Approximate Nash equilibria of imitation games: Algorithms and complexity

A Murhekar - AAMAS Conference proceedings, 2020 - par.nsf.gov
A two-player finite game is represented by two payoff matrices (A, B), one for each player.
Imitation games are a subclass of two-player games in which B is the identity matrix …