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We study a natural combinatorial single-principal multi-agent contract design problem, in which a principal motivates a team of agents to exert effort toward a given task. At the heart of our model is a reward function, which maps the agent…

Computer Science and Game Theory · Computer Science 2026-03-04 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

Morpion Solitaire is a popular single player game, performed with paper and pencil. Due to its large state space (on the order of the game of Go) traditional search algorithms, such as MCTS, have not been able to find good solutions. A…

Artificial Intelligence · Computer Science 2020-06-16 Hui Wang , Mike Preuss , Michael Emmerich , Aske Plaat

Counterfactual Regret Minimization(CFR) has shown its success in Texas Hold'em poker. We apply this algorithm to another popular incomplete information game, Mahjong. Compared to the poker game, Mahjong is much more complex with many…

Artificial Intelligence · Computer Science 2023-07-25 Shiheng Wang

Cooperative game is a critical research area in the multi-agent reinforcement learning (MARL). Global reward game is a subclass of cooperative games, where all agents aim to maximize the global reward. Credit assignment is an important…

Machine Learning · Computer Science 2022-10-14 Jianhong Wang , Yuan Zhang , Tae-Kyun Kim , Yunjie Gu

We propose a simple, general and effective technique, Reward Randomization for discovering diverse strategic policies in complex multi-agent games. Combining reward randomization and policy gradient, we derive a new algorithm,…

Artificial Intelligence · Computer Science 2021-03-15 Zhenggang Tang , Chao Yu , Boyuan Chen , Huazhe Xu , Xiaolong Wang , Fei Fang , Simon Du , Yu Wang , Yi Wu

Solving a reinforcement learning problem typically involves correctly prespecifying the reward signal from which the algorithm learns. Here, we approach the problem of reward signal design by using an evolutionary approach to perform a…

Multiagent Systems · Computer Science 2021-05-19 Rafal Muszynski , Katja Hofmann , Jun Wang

We consider zero-sum stochastic games with perfect information and finitely many states and actions. The payoff is computed by a function which associates to each infinite sequence of states and actions a real number. We prove that if the…

Computer Science and Game Theory · Computer Science 2022-03-29 Hugo Gimbert , Edon Kelmendi

This paper introduces a general multi-agent bandit model in which each agent is facing a finite set of arms and may communicate with other agents through a central controller in order to identify, in pure exploration, or play, in regret…

Machine Learning · Computer Science 2022-10-31 Clémence Réda , Sattar Vakili , Emilie Kaufmann

Multi-agent hierarchical reinforcement learning (MAHRL) has been studied as an effective means to solve intelligent decision problems in complex and large-scale environments. However, most current MAHRL algorithms follow the traditional way…

Artificial Intelligence · Computer Science 2024-11-05 Chanjuan Liu , Jinmiao Cong , Bingcai Chen , Yaochu Jin , Enqiang Zhu

While deep reinforcement learning techniques have led to agents that are successfully able to learn to perform a number of tasks that had been previously unlearnable, these techniques are still susceptible to the longstanding problem of…

Artificial Intelligence · Computer Science 2019-11-05 Nicholas Waytowich , Sean L. Barton , Vernon Lawhern , Garrett Warnell

Learning to adapt and make real-time informed decisions in a dynamic and complex environment is a challenging problem. Monopoly is a popular strategic board game that requires players to make multiple decisions during the game.…

Machine Learning · Computer Science 2022-04-07 Trevor Bonjour , Marina Haliem , Aala Alsalem , Shilpa Thomas , Hongyu Li , Vaneet Aggarwal , Mayank Kejriwal , Bharat Bhargava

Existing alignment methods directly use the reward model learned from user preference data to optimize an LLM policy, subject to KL regularization with respect to the base policy. This practice is suboptimal for maximizing user's utility…

Machine Learning · Computer Science 2026-02-04 Haichuan Wang , Tao Lin , Lingkai Kong , Ce Li , Hezi Jiang , Milind Tambe

This paper considers offline multi-agent reinforcement learning. We propose the strategy-wise concentration principle which directly builds a confidence interval for the joint strategy, in contrast to the point-wise concentration principle…

Machine Learning · Computer Science 2022-10-17 Qiwen Cui , Simon S. Du

There are 134,459 distinct initial hands at the video poker game Jacks or Better, taking suit exchangeability into account. A computer program can determine the optimal strategy (i.e., which cards to hold) for each such hand, but a complete…

Optimization and Control · Mathematics 2020-02-24 S. N. Ethier , John Jungtae Kim , Jiyeon Lee

We study the problem of designing autonomous agents that can learn to cooperate effectively with a potentially suboptimal partner while having no access to the joint reward function. This problem is modeled as a cooperative episodic…

Machine Learning · Computer Science 2022-06-14 Thomas Kleine Buening , Anne-Marie George , Christos Dimitrakakis

We introduce a bandit framework for stochastic matching under the multinomial logit (MNL) choice model. In our setting, $N$ agents on one side are assigned to $K$ arms on the other side, where each arm stochastically selects an agent from…

Machine Learning · Statistics 2026-01-30 Jung-hun Kim , Min-hwan Oh

Reward shaping is one of the most effective methods to tackle the crucial yet challenging problem of credit assignment in Reinforcement Learning (RL). However, designing shaping functions usually requires much expert knowledge and…

Machine Learning · Computer Science 2019-01-29 Haosheng Zou , Tongzheng Ren , Dong Yan , Hang Su , Jun Zhu

Strategy learning in game environments with multi-agent is a challenging problem. Since each agent's reward is determined by the joint strategy, a greedy learning strategy that aims to maximize its own reward may fall into a local optimum.…

Artificial Intelligence · Computer Science 2026-02-02 Xinyu Qiao , Yudong Hu , Congying Han , Weiyan Wu , Tiande Guo

In many problem settings, most notably in game playing, an agent receives a possibly delayed reward for its actions. Often, those rewards are handcrafted and not naturally given. Even simple terminal-only rewards, like winning equals one…

Artificial Intelligence · Computer Science 2021-01-27 Tobias Joppen , Johannes Fürnkranz

Evolutionary game theory is a powerful mathematical framework to study how intelligent individuals adjust their strategies in collective interactions. It has been widely believed that it is impossible to unilaterally control players'…

Optimization and Control · Mathematics 2021-08-31 Renfei Tan , Qi Su , Bin Wu , Long Wang