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The extensive-form game has been studied considerably in recent years. It can represent games with multiple decision points and incomplete information, and hence it is helpful in formulating games with uncertain inputs, such as poker. We…

Computer Science and Game Theory · Computer Science 2023-03-21 Keigo Habara , Ellen Hidemi Fukuda , Nobuo Yamashita

Although many reinforcement learning methods have been proposed for learning the optimal solutions in single-agent continuous-action domains, multiagent coordination domains with continuous actions have received relatively few…

Artificial Intelligence · Computer Science 2018-09-19 Chengwei Zhang , Xiaohong Li , Jianye Hao , Siqi Chen , Karl Tuyls , Zhiyong Feng , Wanli Xue , Rong Chen

Monte Carlo Counterfactual Regret Minimization (MCCFR) has emerged as a cornerstone algorithm for solving extensive-form games, but its integration with deep neural networks introduces scale-dependent challenges that manifest differently…

Artificial Intelligence · Computer Science 2026-01-29 Zakaria El Jaafari

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…

Machine Learning · Computer Science 2022-02-01 Mengxiao Zhang , Peng Zhao , Haipeng Luo , Zhi-Hua Zhou

We develop provably efficient reinforcement learning algorithms for two-player zero-sum finite-horizon Markov games with simultaneous moves. To incorporate function approximation, we consider a family of Markov games where the reward…

Machine Learning · Computer Science 2020-06-25 Qiaomin Xie , Yudong Chen , Zhaoran Wang , Zhuoran Yang

This work investigates the ambient potential identification problem in inverse Mean-Field Games (MFGs), where the goal is to recover the unknown potential from the value function at equilibrium. We propose a simple yet effective iterative…

Optimization and Control · Mathematics 2025-10-14 Jiajia Yu , Jian-Guo Liu , Hongkai Zhao

Mean-Field Control (MFC) is a powerful tool to solve Multi-Agent Reinforcement Learning (MARL) problems. Recent studies have shown that MFC can well-approximate MARL when the population size is large and the agents are exchangeable.…

Machine Learning · Computer Science 2022-06-02 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

Value function decomposition methods for cooperative multi-agent reinforcement learning compose joint values from individual per-agent utilities, and train them using a joint objective. To ensure that the action selection process between…

Machine Learning · Computer Science 2025-05-16 Andrea Baisero , Rupali Bhati , Shuo Liu , Aathira Pillai , Christopher Amato

In game-theoretic learning, several agents are simultaneously following their individual interests, so the environment is non-stationary from each player's perspective. In this context, the performance of a learning algorithm is often…

Computer Science and Game Theory · Computer Science 2021-10-19 Yu-Guan Hsieh , Kimon Antonakopoulos , Panayotis Mertikopoulos

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…

We develop a novel and generic algorithm for the adversarial multi-armed bandit problem (or more generally the combinatorial semi-bandit problem). When instantiated differently, our algorithm achieves various new data-dependent regret…

Machine Learning · Computer Science 2018-06-08 Chen-Yu Wei , Haipeng Luo

In repeated games, strategies are often evaluated by their ability to guarantee the performance of the single best action that is selected in hindsight, a property referred to as \emph{Hannan consistency}, or \emph{no-regret}. However, the…

Computer Science and Game Theory · Computer Science 2025-01-24 Ludovico Crippa , Yonatan Gur , Bar Light

In this paper, the mixed equilibrium problem with coupled inequality constraints in dynamic environments is solved by employing a multi-agent system, where each agent only has access to its own bifunction, its own constraint function, and…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Hang Xu , Kaihong Lu , Yu-Long Wang , Qixin Zhu

Swap regret is a notion that has proven itself to be central to the study of general-sum normal-form games, with swap-regret minimization leading to convergence to the set of correlated equilibria and guaranteeing non-manipulability against…

Computer Science and Game Theory · Computer Science 2025-02-28 Eshwar Ram Arunachaleswaran , Natalie Collina , Yishay Mansour , Mehryar Mohri , Jon Schneider , Balasubramanian Sivan

Incentive design is a popular framework for guiding agents' learning dynamics towards desired outcomes by providing additional payments beyond intrinsic rewards. However, most existing works focus on a finite, small set of agents or assume…

Machine Learning · Computer Science 2025-04-16 Leo Widmer , Jiawei Huang , Niao He

Characterizing the performance of no-regret dynamics in multi-player games is a foundational problem at the interface of online learning and game theory. Recent results have revealed that when all players adopt specific learning algorithms,…

Computer Science and Game Theory · Computer Science 2023-11-28 Ioannis Anagnostides , Alkis Kalavasis , Tuomas Sandholm , Manolis Zampetakis

We study a multi-agent imitation learning (MAIL) problem where we take the perspective of a learner attempting to coordinate a group of agents based on demonstrations of an expert doing so. Most prior work in MAIL essentially reduces the…

Machine Learning · Computer Science 2024-06-27 Jingwu Tang , Gokul Swamy , Fei Fang , Zhiwei Steven Wu

We study the problem of multi-agent control of a dynamical system with known dynamics and adversarial disturbances. Our study focuses on optimal control without centralized precomputed policies, but rather with adaptive control policies for…

Optimization and Control · Mathematics 2022-07-27 Udaya Ghai , Udari Madhushani , Naomi Leonard , Elad Hazan

This paper considers the contextual multi-armed bandit (CMAB) problem with fairness and privacy guarantees in a federated environment. We consider merit-based exposure as the desired fair outcome, which provides exposure to each action in…

Machine Learning · Computer Science 2024-02-07 Sambhav Solanki , Shweta Jain , Sujit Gujar

This paper considers convex games involving multiple agents that aim to minimize their own cost functions using locally available information. A common assumption in the study of such games is that the agents are symmetric, meaning that…

Optimization and Control · Mathematics 2025-09-25 Zifan Wang , Xinlei Yi , Yi Shen , Michael M. Zavlanos , Karl H. Johansson
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