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This paper reframes approachability theory within the context of population games. Thus, whilst one player aims at driving her average payoff to a predefined set, her opponent is not malevolent but rather extracted randomly from a…

Optimization and Control · Mathematics 2014-07-16 Dario Bauso , Thomas W L Norman

We study learning dynamics induced by strategic agents who repeatedly play a game with an unknown payoff-relevant parameter. In each step, an information system estimates a belief distribution of the parameter based on the players'…

Systems and Control · Electrical Eng. & Systems 2020-10-20 Manxi Wu , Saurabh Amin , Asuman Ozdaglar

This paper considers games where the utilities for agents are the sum of a term proportional to a social utility, and another term that is an individual cost or reward. The agents are assumed to be irrational in their perception of the…

Computer Science and Game Theory · Computer Science 2026-05-21 Ashok Krishnan K. S. , Helene Le Cadre , Ana Busic

We study the problem of finding equilibrium strategies in multi-agent games with incomplete payoff information, where the payoff matrices are only known to the players up to some bounded uncertainty sets. In such games, an ex-post…

Computer Science and Game Theory · Computer Science 2020-07-14 Wenshuo Guo , Mihaela Curmei , Serena Wang , Benjamin Recht , Michael I. Jordan

We propose a system theoretic approach to select and stabilize the endemic equilibrium of an SIRS epidemic model in which the decisions of a population of strategically interacting agents determine the transmission rate. Specifically, the…

Dynamical Systems · Mathematics 2022-01-26 Nuno C. Martins , Jair Certorio , Richard J. La

Commonly, the strategy revision phase in evolutionary games relies on payoff comparison. Namely, agents compare their payoff with the opponent, assessing whether changing strategy can be potentially convenient. Even tiny payoff differences…

Physics and Society · Physics 2023-10-24 Marco Alberto Javarone , Shaurya Pratap Singh

Adaptive populations such as those in financial markets and distributed control can be modeled by the Minority Game. We consider how their dynamics depends on the agents' initial preferences of strategies, when the agents use linear or…

Statistical Finance · Quantitative Finance 2009-11-13 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

Controlling evolutionary game-theoretic dynamics is a problem of paramount importance for the systems and control community, with several applications spanning from social science to engineering. Here, we study a population of individuals…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Lorenzo Zino , Mengbin Ye , Alessandro Rizzo , Giuseppe Carlo Calafiore

Strategic diversity is often essential in games: in multi-player games, for example, evaluating a player against a diverse set of strategies will yield a more accurate estimate of its performance. Furthermore, in games with…

Artificial Intelligence · Computer Science 2021-10-11 Marta Garnelo , Wojciech Marian Czarnecki , Siqi Liu , Dhruva Tirumala , Junhyuk Oh , Gauthier Gidel , Hado van Hasselt , David Balduzzi

Game theory serves as a powerful tool for distributed optimization in multi-agent systems in different applications. In this paper we consider multi-agent systems that can be modeled by means of potential games whose potential function…

Optimization and Control · Mathematics 2018-04-13 Tatiana Tatarenko

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

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

The distributed task allocation problem, as one of the most interesting distributed optimization challenges, has received considerable research attention recently. Previous works mainly focused on the task allocation problem in a population…

Computer Science and Game Theory · Computer Science 2023-08-22 Chunxia Liu , Kaihong Lu , Xiaojie Chen , Attila Szolnoki

Imitation is widely observed in populations of decision-making agents. Using our recent convergence results for asynchronous imitation dynamics on networks, we consider how such networks can be efficiently driven to a desired equilibrium…

Computer Science and Game Theory · Computer Science 2017-04-17 James Riehl , Pouria Ramazi , Ming Cao

We study the open question of how players learn to play a social optimum pure-strategy Nash equilibrium (PSNE) through repeated interactions in general-sum coordination games. A social optimum of a game is the stable Pareto-optimal state…

Computer Science and Game Theory · Computer Science 2023-07-26 Duong Nguyen , Langford White , Hung Nguyen

In this paper, we study inverse game theory (resp. inverse multiagent learning) in which the goal is to find parameters of a game's payoff functions for which the expected (resp. sampled) behavior is an equilibrium. We formulate these…

Computer Science and Game Theory · Computer Science 2025-02-21 Denizalp Goktas , Amy Greenwald , Sadie Zhao , Alec Koppel , Sumitra Ganesh

The framework of uncoupled online learning in multiplayer games has made significant progress in recent years. In particular, the development of time-varying games has considerably expanded its modeling capabilities. However, current regret…

Computer Science and Game Theory · Computer Science 2025-08-18 Aymeric Capitaine , Etienne Boursier , Eric Moulines , Michael I. Jordan , Alain Durmus

In this paper, we deal with the equilibrium selection problem, which amounts to steering a population of individuals engaged in strategic game-theoretic interactions to a desired collective behavior. In the literature, this problem has been…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Lorenzo Zino , Mengbin Ye , Giuseppe Carlo Calafiore , Alessandro Rizzo

We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

Populations and Evolution · Quantitative Biology 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

When a prediction algorithm serves a collection of users, disparities in prediction quality are likely to emerge. If users respond to accurate predictions by increasing engagement, inviting friends, or adopting trends, repeated learning…

Machine Learning · Computer Science 2025-11-27 Eden Saig , Nir Rosenfeld