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In this paper we investigate the Follow the Regularized Leader dynamics in sequential imperfect information games (IIG). We generalize existing results of Poincar\'e recurrence from normal-form games to zero-sum two-player imperfect…

We study how to learn $\epsilon$-optimal strategies in zero-sum imperfect information games (IIG) with trajectory feedback. In this setting, players update their policies sequentially based on their observations over a fixed number of…

Computer Science and Game Theory · Computer Science 2023-09-06 Côme Fiegel , Pierre Ménard , Tadashi Kozuno , Rémi Munos , Vianney Perchet , Michal Valko

This paper resolves the open question of designing near-optimal algorithms for learning imperfect-information extensive-form games from bandit feedback. We present the first line of algorithms that require only…

Machine Learning · Computer Science 2023-04-04 Yu Bai , Chi Jin , Song Mei , Tiancheng Yu

Follow the regularized leader FTRL is the premier algorithm for online optimization. However, despite decades of research on its convergence in constrained optimization -- and potential games in particular -- its behavior remained hitherto…

Computer Science and Game Theory · Computer Science 2026-02-02 Ioannis Anagnostides , Ioannis Panageas , Nikolas Patris , Tuomas Sandholm

We study the problem of learning a Nash equilibrium (NE) in an imperfect information game (IIG) through self-play. Precisely, we focus on two-player, zero-sum, episodic, tabular IIG under the perfect-recall assumption where the only…

Machine Learning · Statistics 2021-06-14 Tadashi Kozuno , Pierre Ménard , Rémi Munos , Michal Valko

We consider prediction with expert advice when data are generated from distributions varying arbitrarily within an unknown constraint set. This semi-adversarial setting includes (at the extremes) the classical i.i.d. setting, when the…

Machine Learning · Statistics 2022-07-25 Blair Bilodeau , Jeffrey Negrea , Daniel M. Roy

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…

Machine Learning · Computer Science 2023-01-06 Wenqian Xue , Bosen Lian , Jialu Fan , Tianyou Chai , Frank L. Lewis

We consider learning to play multiplayer imperfect-information games with simultaneous moves and large state-action spaces. Previous attempts to tackle such challenging games have largely focused on model-free learning methods, often…

Artificial Intelligence · Computer Science 2020-12-23 Rinu Boney , Alexander Ilin , Juho Kannala , Jarno Seppänen

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…

Artificial Intelligence · Computer Science 2026-05-26 Qian-Rong Li , Hung Guei , I-Chen Wu , Ti-Rong Wu

In imperfect information games, the evaluation of a game state not only depends on the observable world but also relies on hidden parts of the environment. As accessing the obstructed information trivialises state evaluations, one approach…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

This paper studies the optimistic variant of Fictitious Play for learning in two-player zero-sum games. While it is known that Optimistic FTRL -- a regularized algorithm with a bounded stepsize parameter -- obtains constant regret in this…

Machine Learning · Computer Science 2026-01-15 John Lazarsfeld , Georgios Piliouras , Ryann Sim , Stratis Skoulakis

In this paper, several techniques for learning game state evaluation functions by reinforcement are proposed. The first is a generalization of tree bootstrapping (tree learning): it is adapted to the context of reinforcement learning…

Artificial Intelligence · Computer Science 2025-05-08 Quentin Cohen-Solal

Neural network supported tree-search has shown strong results in a variety of perfect information multi-agent tasks. However, the performance of these methods on partial information games has generally been below competing approaches. Here…

Multiagent Systems · Computer Science 2024-06-18 Ryan Yu , Alex Olshevsky , Peter Chin

The long-run behavior of multi-agent learning - and, in particular, no-regret learning - is relatively well-understood in potential games, where players have aligned interests. By contrast, in harmonic games - the strategic counterpart of…

Computer Science and Game Theory · Computer Science 2024-12-31 Davide Legacci , Panayotis Mertikopoulos , Christos H. Papadimitriou , Georgios Piliouras , Bary S. R. Pradelski

For a two-player imperfect-information extensive-form game (IIEFG) with $K$ time steps and a player action space of size $U$, the game tree complexity is $U^{2K}$, causing existing IIEFG solvers to struggle with large or infinite $(U,K)$,…

Computer Science and Game Theory · Computer Science 2026-03-03 Mukesh Ghimire , Lei Zhang , Zhe Xu , Yi Ren

Follow-The-Regularized-Leader (FTRL) is known as an effective and versatile approach in online learning, where appropriate choice of the learning rate is crucial for smaller regret. To this end, we formulate the problem of adjusting FTRL's…

Machine Learning · Computer Science 2024-03-12 Shinji Ito , Taira Tsuchiya , Junya Honda

Follow-the-regularized-leader (FTRL) algorithms have become popular in the context of games, providing easy-to-implement methods for each agent, as well as theoretical guarantees that the strategies of all agents will converge to some…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Heling Zhang , Siqi Du , Roy Dong

In the past decade, motivated by the putative failure of naive self-play deep reinforcement learning (DRL) in adversarial imperfect-information games, researchers have developed numerous DRL algorithms based on fictitious play (FP), double…

No-regret learning has a long history of being closely connected to game theory. Recent works have devised uncoupled no-regret learning dynamics that, when adopted by all the players in normal-form games, converge to various equilibrium…

Computer Science and Game Theory · Computer Science 2024-04-24 Weichao Mao , Haoran Qiu , Chen Wang , Hubertus Franke , Zbigniew Kalbarczyk , Tamer Başar

Information uncertainty is one of the major challenges facing applications of game theory. In the context of Stackelberg games, various approaches have been proposed to deal with the leader's incomplete knowledge about the follower's…

Computer Science and Game Theory · Computer Science 2019-05-21 Jiarui Gan , Haifeng Xu , Qingyu Guo , Long Tran-Thanh , Zinovi Rabinovich , Michael Wooldridge
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