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We study Bayesian learning in episodic, finite-horizon zero-sum Markov games with unknown transition and reward models. We investigate a posterior algorithm in which each player maintains a Bayesian posterior over the game model,…

机器学习 · 计算机科学 2026-03-24 Chang-Wei Yueh , Andy Zhao , Ashutosh Nayyar , Rahul Jain

Learning from repeated play in a fixed two-player zero-sum game is a classic problem in game theory and online learning. We consider a variant of this problem where the game payoff matrix changes over time, possibly in an adversarial…

机器学习 · 计算机科学 2022-02-01 Mengxiao Zhang , Peng Zhao , Haipeng Luo , Zhi-Hua Zhou

This work tackles the complexities of multi-player scenarios in \emph{unknown games}, where the primary challenge lies in navigating the uncertainty of the environment through bandit feedback alongside strategic decision-making. We…

机器学习 · 计算机科学 2024-02-27 Yingru Li , Liangqi Liu , Wenqiang Pu , Hao Liang , Zhi-Quan Luo

Learning in multi-player games can model a large variety of practical scenarios, where each player seeks to optimize its own local objective function, which at the same time relies on the actions taken by others. Motivated by the frequent…

最优化与控制 · 数学 2023-09-08 Yuanhanqing Huang , Jianghai Hu

We study the problem of no-regret learning algorithms for general monotone and smooth games and their last-iterate convergence properties. Specifically, we investigate the problem under bandit feedback and strongly uncoupled dynamics, which…

计算机科学与博弈论 · 计算机科学 2024-08-19 Jing Dong , Baoxiang Wang , Yaoliang Yu

Learning algorithms are essential for the applications of game theory in a networking environment. In dynamic and decentralized settings where the traffic, topology and channel states may vary over time and the communication between agents…

机器学习 · 计算机科学 2011-03-15 Quanyan Zhu , Hamidou Tembine , Tamer Basar

Learning to play zero-sum games is a fundamental problem in game theory and machine learning. While significant progress has been made in minimizing external regret in the self-play settings or with full-information feedback, real-world…

机器学习 · 计算机科学 2026-02-09 Shinji Ito , Haipeng Luo , Arnab Maiti , Taira Tsuchiya , Yue Wu

We study a version of the classical zero-sum matrix game with unknown payoff matrix and bandit feedback, where the players only observe each others actions and a noisy payoff. This generalizes the usual matrix game, where the payoff matrix…

机器学习 · 计算机科学 2021-06-15 Brendan O'Donoghue , Tor Lattimore , Ian Osband

Most of the literature on learning in games has focused on the restrictive setting where the underlying repeated game does not change over time. Much less is known about the convergence of no-regret learning algorithms in dynamic multiagent…

机器学习 · 计算机科学 2023-10-19 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

This paper investigates the sublinear regret guarantees of two non-no-regret algorithms in zero-sum games: Fictitious Play, and Online Gradient Descent with constant stepsizes. In general adversarial online learning settings, both…

机器学习 · 计算机科学 2025-06-17 John Lazarsfeld , Georgios Piliouras , Ryann Sim , Andre Wibisono

Offline learning has become widely used due to its ability to derive effective policies from offline datasets gathered by expert demonstrators without interacting with the environment directly. Recent research has explored various ways to…

计算机科学与博弈论 · 计算机科学 2024-03-01 Shiqi Lei , Kanghoon Lee , Linjing Li , Jinkyoo Park , Jiachen Li

We study online learning in unknown Markov games, a problem that arises in episodic multi-agent reinforcement learning where the actions of the opponents are unobservable. We show that in this challenging setting, achieving sublinear regret…

机器学习 · 计算机科学 2021-02-09 Yi Tian , Yuanhao Wang , Tiancheng Yu , Suvrit Sra

We investigate the problem of learning an equilibrium in a generalized two-sided matching market, where agents can adaptively choose their actions based on their assigned matches. Specifically, we consider a setting in which matched agents…

机器学习 · 计算机科学 2025-06-05 Andreas Athanasopoulos , Christos Dimitrakakis

A seminal result in game theory is von Neumann's minmax theorem, which states that zero-sum games admit an essentially unique equilibrium solution. Classical learning results build on this theorem to show that online no-regret dynamics…

计算机科学与博弈论 · 计算机科学 2021-11-08 Tanner Fiez , Ryann Sim , Stratis Skoulakis , Georgios Piliouras , Lillian Ratliff

We consider the problem of learning to play a repeated multi-agent game with an unknown reward function. Single player online learning algorithms attain strong regret bounds when provided with full information feedback, which unfortunately…

机器学习 · 计算机科学 2019-10-29 Pier Giuseppe Sessa , Ilija Bogunovic , Maryam Kamgarpour , Andreas Krause

Learning in games refers to scenarios where multiple players interact in a shared environment, each aiming to minimize their regret. An equilibrium can be computed at a fast rate of $O(1/T)$ when all players follow the optimistic…

计算机科学与博弈论 · 计算机科学 2025-02-18 Taira Tsuchiya , Shinji Ito , Haipeng Luo

A variety of practical problems can be modeled by the decision-making process in multi-player games where a group of self-interested players aim at optimizing their own local objectives, while the objectives depend on the actions taken by…

最优化与控制 · 数学 2023-01-09 Yuanhanqing Huang , Jianghai Hu

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, information design, and solution concepts such as correlated,…

We study the problem of learning in zero-sum matrix games with repeated play and bandit feedback. Specifically, we focus on developing uncoupled algorithms that guarantee, without communication between players, the convergence of the…

机器学习 · 计算机科学 2026-04-20 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Michal Valko , Vianney Perchet

We revisit the problem of learning in two-player zero-sum Markov games, focusing on developing an algorithm that is uncoupled, convergent, and rational, with non-asymptotic convergence rates. We start from the case of stateless matrix game…

计算机科学与博弈论 · 计算机科学 2023-11-10 Yang Cai , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng
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