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In this paper, we examine the Nash equilibrium convergence properties of no-regret learning in general N-player games. For concreteness, we focus on the archetypal follow the regularized leader (FTRL) family of algorithms, and we consider…

Computer Science and Game Theory · Computer Science 2021-02-05 Angeliki Giannou , Emmanouil-Vasileios Vlatakis-Gkaragkounis , Panayotis Mertikopoulos

We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

Computer Science and Game Theory · Computer Science 2024-06-14 Carlos Martin , Tuomas Sandholm

In this paper, we present a framework for multi-agent learning in a nonstationary dynamic network environment. More specifically, we examine projected gradient play in smooth monotone repeated network games in which the agents'…

Computer Science and Game Theory · Computer Science 2024-08-13 Feras Al Taha , Kiran Rokade , Francesca Parise

In this paper, we explore aggregative games over networks of multi-integrator agents with coupled constraints. To reach the general Nash equilibrium of an aggregative game, a distributed strategy-updating rule is proposed by a combination…

Optimization and Control · Mathematics 2023-02-27 Xin Cai , Feng Xiao , Bo Wei

This paper addresses a class of Nash equilibrium (NE) seeking problems in coalition games involving both local and coupling constraints for multiple Euler-Lagrange (EL) systems subject to disturbances of unknown bounds. Within each…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Cheng Yuwen , Jialing Zhou , Meng Luan , Guanghui Wen , Tingwen Huang

We obtain global, non-asymptotic convergence guarantees for independent learning algorithms in competitive reinforcement learning settings with two agents (i.e., zero-sum stochastic games). We consider an episodic setting where in each…

Machine Learning · Computer Science 2021-01-13 Constantinos Daskalakis , Dylan J. Foster , Noah Golowich

While Online Gradient Descent and other no-regret learning procedures are known to efficiently converge to a coarse correlated equilibrium in games where each agent's utility is concave in their own strategy, this is not the case when…

Computer Science and Game Theory · Computer Science 2025-04-22 Yang Cai , Constantinos Daskalakis , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

Physics and Society · Physics 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

In Keynesian Beauty Contests notably modeled by p-guessing games, players try to guess the average of guesses multiplied by p. Convergence of plays to Nash equilibrium has often been justified by agents' learning. However, interrogations…

General Economics · Economics 2021-03-29 Aymeric Vie

In large systems, it is important for agents to learn to act effectively, but sophisticated multi-agent learning algorithms generally do not scale. An alternative approach is to find restricted classes of games where simple, efficient…

Multiagent Systems · Computer Science 2009-03-16 Ian A. Kash , Eric J. Friedman , Joseph Y. Halpern

We consider a game-theoretic model of information retrieval with strategic authors. We examine two different utility schemes: authors who aim at maximizing exposure and authors who want to maximize active selection of their content (i.e.…

Computer Science and Game Theory · Computer Science 2019-02-21 Omer Ben-Porat , Itay Rosenberg , Moshe Tennenholtz

Nash equilibria are defined using uncorrelated behavioural or mixed joint probability distributions effectively assuming that players of bounded rationality must discard information to locate equilibria. We propose instead that rational…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Kae Nemoto , Michael J Gagen

Applications of combinatorial auctions (CA) as market mechanisms are prevalent in practice, yet their Bayesian Nash equilibria (BNE) remain poorly understood. Analytical solutions are known only for a few cases where the problem can be…

Computer Science and Game Theory · Computer Science 2021-02-09 Stefan Heidekrüger , Paul Sutterer , Nils Kohring , Maximilian Fichtl , Martin Bichler

Finding Nash equilibria in two-player zero-sum continuous games is a central problem in machine learning, e.g. for training both GANs and robust models. The existence of pure Nash equilibria requires strong conditions which are not…

Machine Learning · Computer Science 2021-05-07 Carles Domingo-Enrich , Samy Jelassi , Arthur Mensch , Grant Rotskoff , Joan Bruna

Federated reinforcement learning (RL) enables collaborative decision making of multiple distributed agents without sharing local data trajectories. In this work, we consider a multi-task setting, in which each agent has its own private…

Machine Learning · Computer Science 2024-08-19 Tong Yang , Shicong Cen , Yuting Wei , Yuxin Chen , Yuejie Chi

The Hotelling-Downs model is a natural and appealing model for understanding strategic positioning by candidates in elections. In this model, voters are distributed on a line, representing their ideological position on an issue. Each…

Computer Science and Game Theory · Computer Science 2024-12-18 Umang Bhaskar , Soumyajit Pyne

We propose a reinforcement learning algorithm for stationary mean-field games, where the goal is to learn a pair of mean-field state and stationary policy that constitutes the Nash equilibrium. When viewing the mean-field state and the…

Machine Learning · Computer Science 2020-10-12 Qiaomin Xie , Zhuoran Yang , Zhaoran Wang , Andreea Minca

We propose networked policy gradient play for solving Markov potential games with continuous and/or discrete state-action pairs. During the game, agents use parametrized and differentiable policies that depend on the current state and the…

Systems and Control · Electrical Eng. & Systems 2025-10-02 Sarper Aydin , Ceyhun Eksin

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

In multi-agent autonomous systems, deception is a fundamental concept which characterizes the exploitation of unbalanced information to mislead victims into choosing oblivious actions. This effectively alters the system's long term…

Systems and Control · Electrical Eng. & Systems 2025-08-27 Michael Tang , Miroslav Krstic , Jorge Poveda