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 …

Computing optimal equilibria and mechanisms via learning in zero-sum extensive-form games

B Zhang, G Farina, I Anagnostides… - Advances in …, 2023 - proceedings.neurips.cc
We introduce a new approach for computing optimal equilibria via learning in games. It
applies to extensive-form settings with any number of players, including mechanism design …

Nfgtransformer: Equivariant representation learning for normal-form games

S Liu, L Marris, G Piliouras, I Gemp, N Heess - arxiv preprint arxiv …, 2024 - arxiv.org
Normal-form games (NFGs) are the fundamental model of strategic interaction. We study
their representation using neural networks. We describe the inherent equivariance of NFGs …

Grasper: A generalist pursuer for pursuit-evasion problems

P Li, S Li, X Wang, J Cerny, Y Zhang, S McAleer… - arxiv preprint arxiv …, 2024 - arxiv.org
Pursuit-evasion games (PEGs) model interactions between a team of pursuers and an
evader in graph-based environments such as urban street networks. Recent advancements …

Are equivariant equilibrium approximators beneficial?

Z Duan, Y Ma, X Deng - International Conference on …, 2023 - proceedings.mlr.press
Recently, remarkable progress has been made by approximating Nash equilibrium (NE),
correlated equilibrium (CE), and coarse correlated equilibrium (CCE) through function …

Smooth nash equilibria: Algorithms and complexity

C Daskalakis, N Golowich, N Haghtalab… - arxiv preprint arxiv …, 2023 - arxiv.org
A fundamental shortcoming of the concept of Nash equilibrium is its computational
intractability: approximating Nash equilibria in normal-form games is PPAD-hard. In this …

Auctionformer: A Unified Deep Learning Algorithm for Solving Equilibrium Strategies in Auction Games

K Huang, Z Chen, X Wang, C Gao, J Gao… - … on Machine Learning, 2024 - openreview.net
Auction games have been widely used in plenty of trading environments such as online
advertising and real estate. The complexity of real-world scenarios, characterized by diverse …

Neural population learning beyond symmetric zero-sum games

S Liu, L Marris, M Lanctot, G Piliouras, JZ Leibo… - arxiv preprint arxiv …, 2024 - arxiv.org
We study computationally efficient methods for finding equilibria in n-player general-sum
games, specifically ones that afford complex visuomotor skills. We show how existing …

Is Nash equilibrium approximator learnable?

Z Duan, W Huang, D Zhang, Y Du, J Wang… - arxiv preprint arxiv …, 2021 - arxiv.org
In this paper, we investigate the learnability of the function approximator that approximates
Nash equilibrium (NE) for games generated from a distribution. First, we offer a …

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 …