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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 …
Computing optimal equilibria and mechanisms via learning in zero-sum extensive-form games
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 …
applies to extensive-form settings with any number of players, including mechanism design …
Nfgtransformer: Equivariant representation learning for normal-form games
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 …
their representation using neural networks. We describe the inherent equivariance of NFGs …
Grasper: A generalist pursuer for pursuit-evasion problems
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 …
evader in graph-based environments such as urban street networks. Recent advancements …
Are equivariant equilibrium approximators beneficial?
Recently, remarkable progress has been made by approximating Nash equilibrium (NE),
correlated equilibrium (CE), and coarse correlated equilibrium (CCE) through function …
correlated equilibrium (CE), and coarse correlated equilibrium (CCE) through function …
Smooth nash equilibria: Algorithms and complexity
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 …
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
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 …
advertising and real estate. The complexity of real-world scenarios, characterized by diverse …
Neural population learning beyond symmetric zero-sum games
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 …
games, specifically ones that afford complex visuomotor skills. We show how existing …
Is Nash equilibrium approximator learnable?
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 …
Nash equilibrium (NE) for games generated from a distribution. First, we offer a …
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 …