A survey on algorithms for Nash equilibria in finite normal-form games
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 …
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
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 …
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
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 …
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 …
players receive the same payoff at any outcome of the game. Due to the symmetry property …
[PDF][PDF] Multi-player approximate Nash equilibria
Multi-player approximate Nash equilibria Page 1 Multi-player approximate Nash equilibria ∗
(Extended Abstract) Artur Czumaj1 Michail Fasoulakis1,2 Marcin Jurdzinski1 Department of …
(Extended Abstract) Artur Czumaj1 Michail Fasoulakis1,2 Marcin Jurdzinski1 Department of …
An empirical study of finding approximate equilibria in bimatrix games
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 …
equilibria in bimatrix games, there has been little empirical work on finding approximate …
On the communication complexity of approximate Nash equilibria
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 …
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
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 …
efficiently, if we are aware of the symmetries within the multiagent system. Symmetries also …
Approximate well-supported Nash equilibria in symmetric bimatrix games
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 …
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 …
Imitation games are a subclass of two-player games in which B is the identity matrix …