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Contemporary applications of machine learning in two-team e-sports and the superior expressivity of multi-agent generative adversarial networks raise important and overlooked theoretical questions regarding optimization in two-team games.…

计算机科学与博弈论 · 计算机科学 2023-04-18 Fivos Kalogiannis , Ioannis Panageas , Emmanouil-Vasileios Vlatakis-Gkaragkounis

Nash Equilibrium (NE) is the canonical solution concept of game theory, which provides an elegant tool to understand the rationalities. Though mixed strategy NE exists in any game with finite players and actions, computing NE in two- or…

计算机科学与博弈论 · 计算机科学 2024-05-07 Xinrun Wang , Chang Yang , Shuxin Li , Pengdeng Li , Xiao Huang , Hau Chan , Bo An

In dynamic games with asymmetric information structure, the widely used concept of equilibrium is perfect Bayesian equilibrium (PBE). This is expressed as a strategy and belief pair that simultaneously satisfy sequential rationality and…

计算机科学与博弈论 · 计算机科学 2016-09-15 Abhinav Sinha , Achilleas Anastasopoulos

We consider learning Nash equilibria in two-player zero-sum Markov Games with nonlinear function approximation, where the action-value function is approximated by a function in a Reproducing Kernel Hilbert Space (RKHS). The key challenge is…

机器学习 · 计算机科学 2022-08-11 Chris Junchi Li , Dongruo Zhou , Quanquan Gu , Michael I. Jordan

Optimization of deep learning algorithms to approach Nash Equilibrium remains a significant problem in imperfect information games, e.g. StarCraft and poker. Neural Fictitious Self-Play (NFSP) has provided an effective way to learn…

人工智能 · 计算机科学 2021-04-23 Yuxuan Chen , Li Zhang , Shijian Li , Gang Pan

Bargaining games, where agents attempt to agree on how to split utility, are an important class of games used to study economic behavior, which motivates a study of online learning algorithms in these games. In this work, we tackle when…

计算机科学与博弈论 · 计算机科学 2025-07-08 Serafina Kamp , Reese Liebman , Benjamin Fish

The combination of self-play and planning has achieved great successes in sequential games, for instance in Chess and Go. However, adapting algorithms such as AlphaZero to simultaneous games poses a new challenge. In these games, missing…

人工智能 · 计算机科学 2024-06-12 Yannik Mahlau , Frederik Schubert , Bodo Rosenhahn

In this work, we adapt a training approach inspired by the original AlphaGo system to play the imperfect information game of Reconnaissance Blind Chess. Using only the observations instead of a full description of the game state, we first…

人工智能 · 计算机科学 2022-08-04 Timo Bertram , Johannes Fürnkranz , Martin Müller

No-regret learning has emerged as a powerful tool for solving extensive-form games. This was facilitated by the counterfactual-regret minimization (CFR) framework, which relies on the instantiation of regret minimizers for simplexes at each…

计算机科学与博弈论 · 计算机科学 2017-11-10 Gabriele Farina , Christian Kroer , Tuomas Sandholm

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

机器学习 · 统计学 2018-06-07 Xingyu Wang , Diego Klabjan

We study model-based and model-free policy optimization in a class of nonzero-sum stochastic dynamic games called linear quadratic (LQ) deep structured games. In such games, players interact with each other through a set of weighted…

计算机科学与博弈论 · 计算机科学 2020-12-15 Masoud Roudneshin , Jalal Arabneydi , Amir G. Aghdam

We introduce a new virtual environment for simulating a card game known as "Big 2". This is a four-player game of imperfect information with a relatively complicated action space (being allowed to play 1,2,3,4 or 5 card combinations from an…

机器学习 · 计算机科学 2018-09-03 Henry Charlesworth

Imperfect-information games (IIGs) are challenging, as players must make decisions without fully observing the true game state. While AlphaZero has achieved remarkable success in perfect-information games, extending it to IIGs remains…

人工智能 · 计算机科学 2026-05-26 Qian-Rong Li , Hung Guei , I-Chen Wu , Ti-Rong Wu

OpenSpiel is a collection of environments and algorithms for research in general reinforcement learning and search/planning in games. OpenSpiel supports n-player (single- and multi- agent) zero-sum, cooperative and general-sum, one-shot and…

The AlphaZero algorithm has achieved superhuman performance in two-player, deterministic, zero-sum games where perfect information of the game state is available. This success has been demonstrated in Chess, Shogi, and Go where learning…

人工智能 · 计算机科学 2019-12-10 Nick Petosa , Tucker Balch

In this paper, we formulate inverse reinforcement learning (IRL) as an expert-learner interaction whereby the optimal performance intent of an expert or target agent is unknown to a learner agent. The learner observes the states and…

机器学习 · 计算机科学 2023-01-06 Wenqian Xue , Bosen Lian , Jialu Fan , Tianyou Chai , Frank L. Lewis

There has been significant recent progress in algorithms for approximation of Nash equilibrium in large two-player zero-sum imperfect-information games and exact computation of Nash equilibrium in multiplayer strategic-form games. While…

计算机科学与博弈论 · 计算机科学 2025-10-01 Sam Ganzfried

We describe an algorithm for computing best response strategies in a class of two-player infinite games of incomplete information, defined by payoffs piecewise linear in agents' types and actions, conditional on linear comparisons of…

计算机科学与博弈论 · 计算机科学 2012-07-19 Daniel Reeves , Michael P. Wellman

Learning Nash equilibrium (NE) in complex zero-sum games with multi-agent reinforcement learning (MARL) can be extremely computationally expensive. Curriculum learning is an effective way to accelerate learning, but an under-explored…

机器学习 · 计算机科学 2023-12-19 Jiayu Chen , Zelai Xu , Yunfei Li , Chao Yu , Jiaming Song , Huazhong Yang , Fei Fang , Yu Wang , Yi Wu

AlphaZero is a self-play reinforcement learning algorithm that achieves superhuman play in chess, shogi, and Go via policy iteration. To be an effective policy improvement operator, AlphaZero's search requires accurate value estimates for…

人工智能 · 计算机科学 2023-03-02 Alexandre Trudeau , Michael Bowling