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Many important real-world settings contain multiple players interacting over an unknown duration with probabilistic state transitions, and are naturally modeled as stochastic games. Prior research on algorithms for stochastic games has…

计算机科学与博弈论 · 计算机科学 2021-02-19 Sam Ganzfried

We address the synthesis of control policies for unknown discrete-time stochastic dynamical systems to satisfy temporal logic objectives. We present a data-driven, abstraction-based control framework that integrates online learning with…

计算机科学与博弈论 · 计算机科学 2026-04-14 Irmak Sağlam , Mahdi Nazeri , Alessandro Abate , Sadegh Soudjani , Anne-Kathrin Schmuck

To learn good joint policies for multi-agent collaboration with imperfect information remains a fundamental challenge. While for two-player zero-sum games, coordinate-ascent approaches (optimizing one agent's policy at a time, e.g.,…

机器学习 · 计算机科学 2020-12-08 Yuandong Tian , Qucheng Gong , Tina Jiang

We present an algorithm for computing evolutionarily stable strategies (ESSs) in symmetric perfect-recall extensive-form games of imperfect information. Our main algorithm is for two-player games, and we describe how it can be extended to…

计算机科学与博弈论 · 计算机科学 2025-12-15 Sam Ganzfried

Search in test time is often used to improve the performance of reinforcement learning algorithms. Performing theoretically sound search in fully adversarial two-player games with imperfect information is notoriously difficult and requires…

计算机科学与博弈论 · 计算机科学 2025-01-30 Ondrej Kubicek , Neil Burch , Viliam Lisy

The advancement of data-driven artificial intelligence (AI), particularly machine learning, heavily depends on large-scale benchmarks. Despite remarkable progress across domains ranging from pattern recognition to intelligent…

人工智能 · 计算机科学 2026-02-03 Chao Li , Shangdong Yang , Chiheng Zhan , Zhenxing Ge , Yujing Hu , Bingkun Bao , Xingguo Chen , Yang Gao

Game-theoretic agents must make plans that optimally gather information about their opponents. These problems are modeled by partially observable stochastic games (POSGs), but planning in fully continuous POSGs is intractable without heavy…

计算机科学与博弈论 · 计算机科学 2025-06-03 Mel Krusniak , Hang Xu , Parker Palermo , Forrest Laine

We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

计算机科学与博弈论 · 计算机科学 2024-06-14 Carlos Martin , Tuomas Sandholm

Policy gradient methods have become a staple of any single-agent reinforcement learning toolbox, due to their combination of desirable properties: iterate convergence, efficient use of stochastic trajectory feedback, and theoretically-sound…

计算机科学与博弈论 · 计算机科学 2025-07-10 Mingyang Liu , Gabriele Farina , Asuman Ozdaglar

This paper proposes new, end-to-end deep reinforcement learning algorithms for learning two-player zero-sum Markov games. Different from prior efforts on training agents to beat a fixed set of opponents, our objective is to find the Nash…

机器学习 · 计算机科学 2023-03-08 Zihan Ding , Dijia Su , Qinghua Liu , Chi Jin

Competitive multi-agent reinforcement learning in imperfect-information games requires agents to act under partial observability and against adversarial opponents, necessitating stochastic policies. While self-play reinforcement learning…

机器学习 · 计算机科学 2026-05-20 Zhiyuan Fan , Gabriele Farina

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…

The current state of the art in playing many important perfect information games, including Chess and Go, combines planning and deep reinforcement learning with self-play. We extend this approach to imperfect information games and present…

人工智能 · 计算机科学 2018-10-26 Andy Kitchen , Michela Benedetti

Unlike Poker where the action space $\mathcal{A}$ is discrete, differential games in the physical world often have continuous action spaces not amenable to discrete abstraction, rendering no-regret algorithms with…

计算机科学与博弈论 · 计算机科学 2025-02-17 Mukesh Ghimire , Zhe Xu , Yi Ren

This letter studies multi-agent reinforcement learning in partially observable Markov potential games. Solving this problem is challenging due to partial observability, decentralized information, and the curse of dimensionality. First, to…

多智能体系统 · 计算机科学 2026-04-02 Wonseok Yang , Thinh T. Doan

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…

人工智能 · 计算机科学 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

In stochastic games with incomplete information, the uncertainty is evoked by the lack of knowledge about a player's own and the other players' types, i.e. the utility function and the policy space, and also the inherent stochasticity of…

机器学习 · 计算机科学 2022-03-21 Hannes Eriksson , Debabrota Basu , Mina Alibeigi , Christos Dimitrakakis

Dominance is a fundamental concept in game theory. In normal-form games dominated strategies can be identified in polynomial time. As a consequence, iterative removal of dominated strategies can be performed efficiently as a preprocessing…

计算机科学与博弈论 · 计算机科学 2026-03-26 Sam Ganzfried

This work designs and analyzes a novel set of algorithms for multi-agent reinforcement learning (MARL) based on the principle of information-directed sampling (IDS). These algorithms draw inspiration from foundational concepts in…

信息论 · 计算机科学 2024-05-01 Qiaosheng Zhang , Chenjia Bai , Shuyue Hu , Zhen Wang , Xuelong Li

Dynamic games are powerful tools to model multi-agent decision-making, yet computing Nash (generalized Nash) equilibria remains a central challenge in such settings. Complexity arises from tightly coupled optimality conditions, nested…

计算机科学与博弈论 · 计算机科学 2026-02-06 Mahdis Rabbani , Navid Mojahed , Shima Nazari
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