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Learning in strategy games (e.g. StarCraft, poker) requires the discovery of diverse policies. This is often achieved by iteratively training new policies against existing ones, growing a policy population that is robust to exploit. This…

人工智能 · 计算机科学 2022-02-16 Siqi Liu , Luke Marris , Daniel Hennes , Josh Merel , Nicolas Heess , Thore Graepel

Learning to play optimally against any mixture over a diverse set of strategies is of important practical interests in competitive games. In this paper, we propose simplex-NeuPL that satisfies two desiderata simultaneously: i) learning a…

人工智能 · 计算机科学 2022-12-26 Siqi Liu , Marc Lanctot , Luke Marris , Nicolas Heess

Two-player, constant-sum games are well studied in the literature, but there has been limited progress outside of this setting. We propose Joint Policy-Space Response Oracles (JPSRO), an algorithm for training agents in n-player,…

多智能体系统 · 计算机科学 2024-04-19 Luke Marris , Paul Muller , Marc Lanctot , Karl Tuyls , Thore Graepel

This paper investigates a population-based training regime based on game-theoretic principles called Policy-Spaced Response Oracles (PSRO). PSRO is general in the sense that it (1) encompasses well-known algorithms such as fictitious play…

In competitive two-agent environments, deep reinforcement learning (RL) methods based on the \emph{Double Oracle (DO)} algorithm, such as \emph{Policy Space Response Oracles (PSRO)} and \emph{Anytime PSRO (APSRO)}, iteratively add RL best…

计算机科学与博弈论 · 计算机科学 2022-07-15 Stephen McAleer , JB Lanier , Kevin Wang , Pierre Baldi , Roy Fox , Tuomas Sandholm

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

机器学习 · 计算机科学 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

We study a multi-agent decision problem in population games, where agents select from multiple available strategies and continually revise their selections based on the payoffs associated with these strategies. Unlike conventional…

多智能体系统 · 计算机科学 2024-09-17 Shinkyu Park

Noncooperative game-theoretic tools have been increasingly used to study many important resource allocation problems in communications, networking, smart grids, and portfolio optimization. In this paper, we consider a general class of…

计算机科学与博弈论 · 计算机科学 2016-11-17 Gesualdo Scutari , Francisco Facchinei , Jong-Shi Pang , Daniel P. Palomar

Dynamic nonzero sum games are widely used to model multi agent decision making in control, economics, and related fields. Classical methods for computing Nash equilibria, especially in linear quadratic settings, rely on strong structural…

神经与进化计算 · 计算机科学 2026-01-07 Alireza Rezaee

In the context of multi-player, general-sum games, there is an increasing interest in solution concepts modeling some form of communication among players, since they can lead to socially better outcomes with respect to Nash equilibria, and…

计算机科学与博弈论 · 计算机科学 2019-10-15 Andrea Celli , Alberto Marchesi , Tommaso Bianchi , Nicola Gatti

This paper examines multiplayer symmetric constant-sum games with more than two players in a competitive setting, including examples like Mahjong, Poker, and various board and video games. In contrast to two-player zero-sum games,…

机器学习 · 计算机科学 2024-10-04 Jiawei Ge , Yuanhao Wang , Wenzhe Li , Chi Jin

Multi-agent reinforcement learning (MARL) is increasingly used to design learning-enabled agents that interact in shared environments. However, training MARL algorithms in general-sum games remains challenging: learning dynamics can become…

机器学习 · 计算机科学 2026-04-07 Addison Kalanther , Sanika Bharvirkar , Shankar Sastry , Chinmay Maheshwari

Recent advances in multiagent learning have seen the introduction ofa family of algorithms that revolve around the population-based trainingmethod PSRO, showing convergence to Nash, correlated and coarse corre-lated equilibria. Notably,…

计算机科学与博弈论 · 计算机科学 2022-08-30 Paul Muller , Mark Rowland , Romuald Elie , Georgios Piliouras , Julien Perolat , Mathieu Lauriere , Raphael Marinier , Olivier Pietquin , Karl Tuyls

The designs of many large-scale systems today, from traffic routing environments to smart grids, rely on game-theoretic equilibrium concepts. However, as the size of an $N$-player game typically grows exponentially with $N$, standard game…

The Policy-Space Response Oracles (PSRO) framework scales equilibrium computation to large zero-sum games by iteratively expanding a restricted strategy set using deep reinforcement learning (DRL). A central challenge is to construct, under…

人工智能 · 计算机科学 2026-05-28 Junyu Zhang , Feihong Yang , Jian Wang , Chao Wang , Xudong Zhang

Zero-sum games such as chess and poker are, abstractly, functions that evaluate pairs of agents, for example labeling them `winner' and `loser'. If the game is approximately transitive, then self-play generates sequences of agents of…

We study a complementarity game as a systematic tool for the investigation of the interplay between individual optimization and population effects and for the comparison of different strategy and learning schemes. The game randomly pairs…

种群与进化 · 定量生物学 2010-11-17 Juergen Jost , Wei Li

The literature on game-theoretic equilibrium finding predominantly focuses on single games or their repeated play. Nevertheless, numerous real-world scenarios feature playing a game sampled from a distribution of similar, but not identical…

计算机科学与博弈论 · 计算机科学 2024-02-21 David Sychrovský , Michal Šustr , Elnaz Davoodi , Michael Bowling , Marc Lanctot , Martin Schmid

Policy Space Response Oracle (PSRO) with policy population construction has been demonstrated as an effective method for approximating Nash Equilibrium (NE) in zero-sum games. Existing studies have attempted to improve diversity in policy…

计算机科学与博弈论 · 计算机科学 2024-11-14 Yucong Huang , Jiesong Lian , Mingzhi Wang , Chengdong Ma , Ying Wen

Self-play (SP) is a popular multi-agent reinforcement learning (MARL) framework for solving competitive games, where each agent optimizes policy by treating others as part of the environment. Despite the empirical successes, the theoretical…

人工智能 · 计算机科学 2023-10-06 Zelai Xu , Yancheng Liang , Chao Yu , Yu Wang , Yi Wu
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