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Contemporary applications of machine learning in two-team e-sports and the superior expressivity of multi-agent generative adversarial networks raise important and overlooked theoretical questions regarding optimization in two-team games.…

Computer Science and Game Theory · Computer Science 2023-04-18 Fivos Kalogiannis , Ioannis Panageas , Emmanouil-Vasileios Vlatakis-Gkaragkounis

We establish Nash equilibrium learning in large populations of noncooperative, strategic agents. Our analysis considers the broadest class to date of payoff mechanisms with first-order modifications, capable of modeling bounded rationality…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Matthew S. Hankins , Jair Certório , Tzuyu Jeng , Nuno C. Martins

The results of a learning process depend on the input data. There are cases in which an adversary can strategically tamper with the input data to affect the outcome of the learning process. While some datasets are difficult to attack, many…

Cryptography and Security · Computer Science 2019-04-02 Eitan Farchi , Onn Shehory , Guy Barash

We consider long-lived agents who interact repeatedly in a social network. In each period, each agent learns about an unknown state by observing a private signal and her neighbors' actions from the previous period before choosing her own…

Theoretical Economics · Economics 2025-08-19 Florian Brandl

The Team-maxmin equilibrium prescribes the optimal strategies for a team of rational players sharing the same goal and without the capability of correlating their strategies in strategic games against an adversary. This solution concept can…

Artificial Intelligence · Computer Science 2016-11-21 Nicola Basilico , Andrea Celli , Giuseppe De Nittis , Nicola Gatti

Multiplayer games with selfish agents naturally occur in the design of distributed and embedded systems. As the goals of selfish agents are usually neither equivalent nor antagonistic to each other, such games are non zero-sum games. We…

Computer Science and Game Theory · Computer Science 2012-12-19 Thomas Brihaye , Julie De Pril , Sven Schewe

In this paper, we consider a Nash equilibrium seeking problem for a class of high-order multi-agent systems with unknown dynamics. Different from existing results for single integrators, we aim to steer the outputs of this class of…

Systems and Control · Electrical Eng. & Systems 2021-01-11 Yutao Tang , Peng Yi

When two or more self-interested agents put their plans to execution in the same environment, conflicts may arise as a consequence, for instance, of a common utilization of resources. In this case, an agent can postpone the execution of a…

Artificial Intelligence · Computer Science 2015-03-05 Jaume Jordán , Eva Onaindia

This paper investigates the evaluation of learned multiagent strategies in the incomplete information setting, which plays a critical role in ranking and training of agents. Traditionally, researchers have relied on Elo ratings for this…

Multiagent Systems · Computer Science 2020-01-13 Mark Rowland , Shayegan Omidshafiei , Karl Tuyls , Julien Perolat , Michal Valko , Georgios Piliouras , Remi Munos

We initiate the study of Preference-Based Multi-Agent Reinforcement Learning (PbMARL), exploring both theoretical foundations and empirical validations. We define the task as identifying the Nash equilibrium from a preference-only offline…

Machine Learning · Computer Science 2025-01-10 Natalia Zhang , Xinqi Wang , Qiwen Cui , Runlong Zhou , Sham M. Kakade , Simon S. Du

Information asymmetry is a pervasive feature of multi-agent systems, especially evident in economics and social sciences. In these settings, agents tailor their actions based on private information to maximize their rewards. These strategic…

Machine Learning · Computer Science 2025-06-12 Jiachen Hu , Rui Ai , Han Zhong , Xiaoyu Chen , Liwei Wang , Zhaoran Wang , Zhuoran Yang

We study the asymptotic behavior of deterministic, continuous-time imitation dynamics for population games over networks. The basic assumption of this learning mechanism -- encompassing the replicator dynamics -- is that players belonging…

Systems and Control · Electrical Eng. & Systems 2020-10-23 Giacomo Como , Fabio Fagnani , Lorenzo Zino

This paper tackles the problem of adversarial examples from a game theoretic point of view. We study the open question of the existence of mixed Nash equilibria in the zero-sum game formed by the attacker and the classifier. While previous…

Computer Science and Game Theory · Computer Science 2021-02-16 Laurent Meunier , Meyer Scetbon , Rafael Pinot , Jamal Atif , Yann Chevaleyre

We study best-response type learning dynamics for zero-sum polymatrix games under two information settings. The two settings are distinguished by the type of information that each player has about the game and their opponents' strategy. The…

Optimization and Control · Mathematics 2025-08-13 Fathima Zarin Faizal , Asuman Ozdaglar , Martin J. Wainwright

Much of recent success in multiagent reinforcement learning has been in two-player zero-sum games. In these games, algorithms such as fictitious self-play and minimax tree search can converge to an approximate Nash equilibrium. While…

Multiagent Systems · Computer Science 2019-12-11 Alexander Shmakov , John Lanier , Stephen McAleer , Rohan Achar , Cristina Lopes , Pierre Baldi

In this paper, we investigate the noncooperative games of multi-agent systems. Different from existing noncooperative games, our formulation involves the high-order nonlinear dynamics of players, and the communication topologies among…

Systems and Control · Electrical Eng. & Systems 2021-12-17 Zhenhua Deng , Jin Luo

We study optimal equilibria in multi-player games. An equilibrium is optimal for a player, if her payoff is maximal. A tempting approach to solving this problem is to seek optimal Nash equilibria, the standard form of equilibria where no…

Computer Science and Game Theory · Computer Science 2013-07-09 Anshul Gupta , Sven Schewe

Stochastic games have become a prevalent framework for studying long-term multi-agent interactions, especially in the context of multi-agent reinforcement learning. In this work, we comprehensively investigate the concept of constant-memory…

Computer Science and Game Theory · Computer Science 2025-10-16 Fengming Zhu , Fangzhen Lin

We address a noncooperative game problem in multi-controller system under delayed and asymmetric information structure. Under these conditions, the classical separation principle fails as estimation and control design become strongly…

Optimization and Control · Mathematics 2026-04-01 Xin Li , Qingyuan Qi , Kemi Ding

Coordinating the behaviour of self-interested agents in the presence of multiple Nash equilibria is a major research challenge for multi-agent systems. Pre-game communication between all the players can aid coordination in cases where the…

Computer Science and Game Theory · Computer Science 2025-02-18 Wei-Chen Lee , Alessandro Abate , Michael Wooldridge