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We consider a model of two competing microswimming agents engaged in a pursue-evasion task within a low-Reynolds-number environment. Agents can only perform simple maneuvers and sense hydrodynamic disturbances, which provide ambiguous…

Fluid Dynamics · Physics 2022-03-04 Francesco Borra , Luca Biferale , Massimo Cencini , Antonio Celani

We propose an adaptive incentive mechanism that learns the optimal incentives in environments where players continuously update their strategies. Our mechanism updates incentives based on each player's externality, defined as the difference…

Computer Science and Game Theory · Computer Science 2025-03-04 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

We develop a method based on computer algebra systems to represent the mutual pure strategy best-response dynamics of symmetric two-player, two-action repeated games played by players with a one-period memory. We apply this method to the…

Dynamical Systems · Mathematics 2022-10-04 Janusz M Meylahn , Lars Janssen

This report aims to survey multi-agent Q-Learning algorithms, analyze different game theory frameworks used, address each framework's applications, and report challenges and future directions. The target application for this study is…

Multiagent Systems · Computer Science 2021-05-07 Arvin Tashakori

When a game involves many agents or when communication between agents is not possible, it is useful to resort to distributed learning where each agent acts in complete autonomy without any information on the other agents' situations.…

Optimization and Control · Mathematics 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

Log-linear learning has been extensively studied in both the game theoretic and distributed control literature. It is appealing for many applications because it often guarantees that the agents' collective behavior will converge in…

Computer Science and Game Theory · Computer Science 2015-11-19 Holly Borowski , Jason Marden

A seminal result in game theory is von Neumann's minmax theorem, which states that zero-sum games admit an essentially unique equilibrium solution. Classical learning results build on this theorem to show that online no-regret dynamics…

Computer Science and Game Theory · Computer Science 2021-11-08 Tanner Fiez , Ryann Sim , Stratis Skoulakis , Georgios Piliouras , Lillian Ratliff

This paper studies a class of strongly monotone games involving non-cooperative agents that optimize their own time-varying cost functions. We assume that the agents can observe other agents' historical actions and choose actions that best…

Optimization and Control · Mathematics 2023-09-04 Zifan Wang , Yi Shen , Michael M. Zavlanos , Karl H. Johansson

We propose a learning dynamics to model how strategic agents repeatedly play a continuous game while relying on an information platform to learn an unknown payoff-relevant parameter. In each time step, the platform updates a belief estimate…

Multiagent Systems · Computer Science 2023-11-02 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

We study a multi-agent reinforcement learning dynamics, and analyze its asymptotic behavior in infinite-horizon discounted Markov potential games. We focus on the independent and decentralized setting, where players do not know the game…

Machine Learning · Computer Science 2025-04-02 Chinmay Maheshwari , Manxi Wu , Druv Pai , Shankar Sastry

We examine the long-run behavior of multi-agent online learning in games that evolve over time. Specifically, we focus on a wide class of policies based on mirror descent, and we show that the induced sequence of play (a) converges to Nash…

Computer Science and Game Theory · Computer Science 2022-08-11 Benoit Duvocelle , Panayotis Mertikopoulos , Mathias Staudigl , Dries Vermeulen

The increasing adoption of Reinforcement Learning in safety-critical systems domains such as autonomous vehicles, health, and aviation raises the need for ensuring their safety. Existing safety mechanisms such as adversarial training,…

Machine Learning · Computer Science 2021-11-11 Paulina Stevia Nouwou Mindom , Amin Nikanjam , Foutse Khomh , John Mullins

Zero-sum and non-zero-sum (aka general-sum) games are relevant in a wide range of applications. While general non-zero-sum games are computationally hard, researchers focus on the special class of monotone games for gradient-based…

Computer Science and Game Theory · Computer Science 2025-12-03 Ruichen Luo , Sebastian U. Stich , Krishnendu Chatterjee

We consider the interaction among agents engaging in a driving task and we model it as general-sum game. This class of games exhibits a plurality of different equilibria posing the issue of equilibrium selection. While selecting the most…

Motivated by the scarcity of accurate payoff feedback in practical applications of game theory, we examine a class of learning dynamics where players adjust their choices based on past payoff observations that are subject to noise and…

Optimization and Control · Mathematics 2016-06-03 Mario Bravo , Panayotis Mertikopoulos

We present a novel variant of fictitious play dynamics combining classical fictitious play with Q-learning for stochastic games and analyze its convergence properties in two-player zero-sum stochastic games. Our dynamics involves players…

Computer Science and Game Theory · Computer Science 2022-06-03 Muhammed O. Sayin , Francesca Parise , Asuman Ozdaglar

The emergence of complex life on Earth is often attributed to the arms race that ensued from a huge number of organisms all competing for finite resources. We present an artificial intelligence research environment, inspired by the human…

Multiagent Systems · Computer Science 2019-03-05 Joseph Suarez , Yilun Du , Phillip Isola , Igor Mordatch

Multiagent systems appear in most social, economical, and political situations. In the present work we extend the Deep Q-Learning Network architecture proposed by Google DeepMind to multiagent environments and investigate how two agents…

Artificial Intelligence · Computer Science 2015-11-30 Ardi Tampuu , Tambet Matiisen , Dorian Kodelja , Ilya Kuzovkin , Kristjan Korjus , Juhan Aru , Jaan Aru , Raul Vicente

Federated learning offers a decentralized approach to machine learning, where multiple agents collaboratively train a model while preserving data privacy. In this paper, we investigate the decision-making and equilibrium behavior in…

Computer Science and Game Theory · Computer Science 2025-03-13 Lihui Yi , Xiaochun Niu , Ermin Wei

Learning algorithms are essential for the applications of game theory in a networking environment. In dynamic and decentralized settings where the traffic, topology and channel states may vary over time and the communication between agents…

Machine Learning · Computer Science 2011-03-15 Quanyan Zhu , Hamidou Tembine , Tamer Basar