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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

In game theory, the concept of Nash equilibrium reflects the collective stability of some individual strategies chosen by selfish agents. The concept pertains to different classes of games, e.g. the sequential games, where the agents play…

Logic · Mathematics 2015-07-01 Stephane Le Roux

In the future, artificial learning agents are likely to become increasingly widespread in our society. They will interact with both other learning agents and humans in a variety of complex settings including social dilemmas. We argue that…

Artificial Intelligence · Computer Science 2022-02-22 Tobias Baumann

A fundamental problem in noncooperative dynamic game theory is the computation of Nash equilibria under different information structures, which specify the information available to each agent during decision-making. Prior work has…

Computer Science and Game Theory · Computer Science 2026-03-20 Janani S K , Kushagra Gupta , Ufuk Topcu , David Fridovich-Keil

This paper considers the problem of inverse reinforcement learning in zero-sum stochastic games when expert demonstrations are known to be not optimal. Compared to previous works that decouple agents in the game by assuming optimality in…

Machine Learning · Statistics 2018-06-07 Xingyu Wang , Diego Klabjan

In single-agent Markov decision processes, an agent can optimize its policy based on the interaction with environment. In multi-player Markov games (MGs), however, the interaction is non-stationary due to the behaviors of other players, so…

Computer Science and Game Theory · Computer Science 2021-10-19 Yuanheng Zhu , Dongbin Zhao , Mengchen Zhao , Dong Li

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

We study analytically and by computer simulations a complex system of adaptive agents with finite memory. Borrowing the framework of the Minority Game and using the replica formalism we show the existence of an equilibrium phase transition…

Statistical Mechanics · Physics 2009-11-07 M. Marsili , R. Mulet , F. Ricci-Tersenghi , R. Zecchina

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

Multiagent Systems · Computer Science 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

A growing number of machine learning architectures, such as Generative Adversarial Networks, rely on the design of games which implement a desired functionality via a Nash equilibrium. In practice these games have an implicit complexity…

Machine Learning · Computer Science 2021-03-08 Gabriel P. Andrade , Rafael Frongillo , Georgios Piliouras

We propose an approach to modelling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of…

Computer Science and Game Theory · Computer Science 2022-11-23 Kai Cui , Wasiur R. KhudaBukhsh , Heinz Koeppl

This paper provides theoretical bounds for empirical game theoretical analysis of complex multi-agent interactions. We provide insights in the empirical meta game showing that a Nash equilibrium of the meta-game is an approximate Nash…

Computer Science and Game Theory · Computer Science 2018-03-20 Karl Tuyls , Julien Perolat , Marc Lanctot , Joel Z Leibo , Thore Graepel

We propose a new model, independent linear Markov game, for multi-agent reinforcement learning with a large state space and a large number of agents. This is a class of Markov games with independent linear function approximation, where each…

Machine Learning · Computer Science 2023-06-23 Qiwen Cui , Kaiqing Zhang , Simon S. Du

Deep reinforcement learning (RL) has achieved outstanding results in recent years. This has led to a dramatic increase in the number of applications and methods. Recent works have explored learning beyond single-agent scenarios and have…

Multiagent Systems · Computer Science 2019-10-21 Pablo Hernandez-Leal , Bilal Kartal , Matthew E. Taylor

The primary focus of multi-agent reinforcement learning (MARL) has been to study interactions among a fixed number of agents embedded in an environment. However, in the real world, the number of agents is neither fixed nor known a priori.…

Machine Learning · Computer Science 2026-02-17 Shishir Sharma , Doina Precup , Theodore J. Perkins

This article reviews recent advances in multi-agent reinforcement learning algorithms for large-scale control systems and communication networks, which learn to communicate and cooperate. We provide an overview of this emerging field, with…

Machine Learning · Computer Science 2020-06-24 Donghwan Lee , Niao He , Parameswaran Kamalaruban , Volkan Cevher

Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player continuous games. In such games, the arguably natural…

Computer Science and Game Theory · Computer Science 2020-11-10 Benjamin J. Chasnov , Daniel Calderone , Behçet Açıkmeşe , Samuel A. Burden , Lillian J. Ratliff

In this paper, we formulate the challenge of re-conceptualising the language game experimental paradigm in the framework of multi-agent reinforcement learning (MARL). If successful, future language game experiments will benefit from the…

Artificial Intelligence · Computer Science 2020-04-10 Paul Van Eecke , Katrien Beuls

Many potential applications of reinforcement learning in the real world involve interacting with other agents whose numbers vary over time. We propose new neural policy architectures for these multi-agent problems. In contrast to other…

Machine Learning · Computer Science 2019-06-03 Matthew A. Wright , Roberto Horowitz

This paper investigates the network load balancing problem in data centers (DCs) where multiple load balancers (LBs) are deployed, using the multi-agent reinforcement learning (MARL) framework. The challenges of this problem consist of the…

Artificial Intelligence · Computer Science 2022-10-17 Zhiyuan Yao , Zihan Ding
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