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Understanding how individual agents make strategic decisions within collectives is important for advancing fields as diverse as economics, neuroscience, and multi-agent systems. Two complementary approaches can be integrated to this end.…

Multiagent Systems · Computer Science 2025-05-21 Jaime Ruiz-Serra , Patrick Sweeney , Michael S. Harré

Maneuvering in dense traffic is a challenging task for autonomous vehicles because it requires reasoning about the stochastic behaviors of many other participants. In addition, the agent must achieve the maneuver within a limited time and…

Artificial Intelligence · Computer Science 2020-05-26 Maxime Bouton , Alireza Nakhaei , David Isele , Kikuo Fujimura , Mykel J. Kochenderfer

In this paper we study iterative procedures for stationary equilibria in games with large number of players. Most of learning algorithms for games with continuous action spaces are limited to strict contraction best reply maps in which the…

Machine Learning · Computer Science 2012-10-18 Hamidou Tembine , Raul Tempone , Pedro Vilanova

In this paper, we present a model of a game among teams. Each team consists of a homogeneous population of agents. Agents within a team are cooperative while the teams compete with other teams. The dynamics and the costs are coupled through…

Computer Science and Game Theory · Computer Science 2023-10-20 Jayakumar Subramanian , Akshat Kumar , Aditya Mahajan

A dynamic mean field theory is developed for finite state and action Bayesian reinforcement learning in the large state space limit. In an analogy with statistical physics, the Bellman equation is studied as a disordered dynamical system;…

Machine Learning · Statistics 2023-07-13 George Stamatescu

We explore a mechanism of decision-making in Mean Field Games with myopic players. At each instant, agents set a strategy which optimizes their expected future cost by assuming their environment as immutable. As the system evolves, the…

Optimization and Control · Mathematics 2018-02-05 Charafeddine Mouzouni

Mean Field Games (MFGs) can potentially scale multi-agent systems to extremely large populations of agents. Yet, most of the literature assumes a single initial distribution for the agents, which limits the practical applications of MFGs.…

Machine Learning · Computer Science 2021-09-21 Sarah Perrin , Mathieu Laurière , Julien Pérolat , Romuald Élie , Matthieu Geist , Olivier Pietquin

Fully cooperative multiagent systems - those in which agents share a joint utility model- is of special interest in AI. A key problem is that of ensuring that the actions of individual agents are coordinated, especially in settings where…

Computer Science and Game Theory · Computer Science 2013-02-18 Craig Boutilier

In typical reinforcement learning (RL), the environment is assumed given and the goal of the learning is to identify an optimal policy for the agent taking actions through its interactions with the environment. In this paper, we extend this…

Artificial Intelligence · Computer Science 2019-10-25 Haifeng Zhang , Jun Wang , Zhiming Zhou , Weinan Zhang , Ying Wen , Yong Yu , Wenxin Li

Optimal decision making with limited or no information in stochastic environments where multiple agents interact is a challenging topic in the realm of artificial intelligence. Reinforcement learning (RL) is a popular approach for arriving…

Machine Learning · Computer Science 2019-01-08 Roi Ceren

We consider the multi-agent reinforcement learning setting with imperfect information in which each agent is trying to maximize its own utility. The reward function depends on the hidden state (or goal) of both agents, so the agents must…

Artificial Intelligence · Computer Science 2018-03-28 Roberta Raileanu , Emily Denton , Arthur Szlam , Rob Fergus

Self-play reinforcement learning has demonstrated significant success in learning complex strategic and interactive behaviors in competitive multi-agent games. However, achieving such behaviors in continuous decision spaces remains…

Machine Learning · Computer Science 2025-11-18 Akash Karthikeyan , Yash Vardhan Pant

In this work, we study a class of stationary mean-field games of singular stochastic control under model uncertainty. The representative agent adjusts the dynamics of an It\^o diffusion via one-sided singular stochastic control, aiming to…

Optimization and Control · Mathematics 2025-05-14 Giorgio Ferrari , Ioannis Tzouanas

Federated learning is a setting where agents, each with access to their own data source, combine models from local data to create a global model. If agents are drawing their data from different distributions, though, federated learning…

Computer Science and Game Theory · Computer Science 2020-12-18 Kate Donahue , Jon Kleinberg

Mean Field Control (MFC) is a powerful approximation tool to solve large-scale Multi-Agent Reinforcement Learning (MARL) problems. However, the success of MFC relies on the presumption that given the local states and actions of all the…

Machine Learning · Computer Science 2023-05-30 Washim Uddin Mondal , Vaneet Aggarwal , Satish V. Ukkusuri

We develop the linear programming approach to mean-field games in a general setting. This relaxed control approach allows to prove existence results under weak assumptions, and lends itself well to numerical implementation. We consider…

Optimization and Control · Mathematics 2020-11-24 Roxana Dumitrescu , Marcos Leutscher , Peter Tankov

Recent techniques based on Mean Field Games (MFGs) allow the scalable analysis of multi-player games with many similar, rational agents. However, standard MFGs remain limited to homogeneous players that weakly influence each other, and…

Computer Science and Game Theory · Computer Science 2023-12-19 Kai Cui , Gökçe Dayanıklı , Mathieu Laurière , Matthieu Geist , Olivier Pietquin , Heinz Koeppl

Mean field games (MFGs) tractably model behavior in large agent populations. The literature on learning MFG equilibria typically focuses on finding Nash equilibria (NE), which assume perfectly rational agents and are hence implausible in…

Computer Science and Game Theory · Computer Science 2025-01-31 Yannick Eich , Christian Fabian , Kai Cui , Heinz Koeppl

The Mean-Field approximation is a tractable approach for studying large population dynamics. However, its assumption on homogeneity and universal connections among all agents limits its applicability in many real-world scenarios.…

Computer Science and Game Theory · Computer Science 2023-10-26 Peihan Huo , Oscar Peralta , Junyu Guo , Qiaomin Xie , Andreea Minca

Automated decision-making tools increasingly assess individuals to determine if they qualify for high-stakes opportunities. A recent line of research investigates how strategic agents may respond to such scoring tools to receive favorable…

Machine Learning · Computer Science 2021-10-28 Keegan Harris , Hoda Heidari , Zhiwei Steven Wu
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