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Feedback Nash equilibrium strategies in multi-agent dynamic games require availability of all players' state information to compute control actions. However, in real-world scenarios, sensing and communication limitations between agents make…

Computer Science and Game Theory · Computer Science 2025-04-10 Xinjie Liu , Jingqi Li , Filippos Fotiadis , Mustafa O. Karabag , Jesse Milzman , David Fridovich-Keil , Ufuk Topcu

We investigate asynchronous distributed algorithms with delayed information for seeking generalized Nash equilibrium over multi-agent networks. The considered game model has all players' local decisions coupled with a shared affine…

Optimization and Control · Mathematics 2018-07-26 Peng Yi , Lacra Pavel

In this paper, we study the distributed generalized Nash equilibrium seeking problem of non-cooperative games in dynamic environments. Each player in the game aims to minimize its own time-varying cost function subject to a local action…

Optimization and Control · Mathematics 2020-04-02 Kaihong Lu , Guangqi Li , Long Wang

This paper considers decentralized control and optimization methodologies for large populations of systems, consisting of several agents with different individual behaviors, constraints and interests, and affected by the aggregate behavior…

Systems and Control · Computer Science 2016-11-15 Sergio Grammatico , Francesca Parise , Marcello Colombino , John Lygeros

We investigate both stationary and time-varying, nonmonotone generalized Nash equilibrium problems that exhibit symmetric interactions among the agents, which are known to be potential. As may happen in practical cases, however, we envision…

Optimization and Control · Mathematics 2024-07-09 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

We consider quadratic, nonmonotone generalized Nash equilibrium problems with symmetric interactions among the agents. Albeit this class of games is known to admit a potential function, its formal expression can be unavailable in several…

Optimization and Control · Mathematics 2022-03-31 Filippo Fabiani , Andrea Simonetto , Paul J. Goulart

In this paper, we propose an asynchronous distributed algorithm for the computation of generalized Nash equilibria in noncooperative games, where the players interact via an undirected communication graph. Specifically, we extend the paper…

Computer Science and Game Theory · Computer Science 2024-12-20 Carlo Cenedese , Giuseppe Belgioioso , Sergio Grammatico , Ming Cao

We consider payoff-based learning of a generalized Nash equilibrium (GNE) in multi-agent systems. Our focus is on games with jointly convex constraints of a linear structure and strongly monotone pseudo-gradients. We present a convergent…

Optimization and Control · Mathematics 2025-07-18 Tatiana Tatarenko , Maryam Kamgarpour

In this paper, we study finite-agent linear-quadratic games on graphs. Specifically, we propose a comprehensive framework that extends the existing literature by incorporating heterogeneous and interpretable player interactions. Compared to…

Optimization and Control · Mathematics 2025-11-19 Ruimeng Hu , Jihao Long , Haosheng Zhou

This paper addresses the problem of distributed online generalized Nash equilibrium (GNE) learning for multi-cluster games with delayed feedback information. Specifically, each agent in the game is assumed to be informed a sequence of local…

Optimization and Control · Mathematics 2024-07-08 Bingqian Liu , Guanghui Wen , Xiao Fang , Tingwen Huang , Guanrong Chen

We consider distributed computation of generalized Nash equilibrium (GNE) over networks, in games with shared coupling constraints. Existing methods require that each player has full access to opponents' decisions. In this paper, we assume…

Optimization and Control · Mathematics 2024-10-30 Lacra Pavel

This paper studies mean field games for multi-agent systems with control-dependent multiplicative noises. For the general systems with nonuniform agents, we obtain a set of decentralized strategies by solving an auxiliary limiting optimal…

Optimization and Control · Mathematics 2019-06-10 Bing-Chang Wang , Yuan-Hua Ni , Huanshui Zhang

This paper introduces a consensus-based generalized multi-population aggregative game coordination approach with application to electric vehicles charging under transmission line constraints. The algorithm enables agents to seek an…

Systems and Control · Electrical Eng. & Systems 2023-10-19 Mahsa Ghavami , Babak Ghaffarzadeh Bakhshayesh , Mohammad Haeri , Giacomo Como , Hamed Kebriaei

We consider seeking generalized Nash equilibria (GNE) for noncooperative games with coupled nonlinear constraints over networks. We first revisit a well-known gradientplay dynamics from a passivity-based perspective, and address that the…

Optimization and Control · Mathematics 2024-08-23 Weijian Li , Lacra Pavel

Multi-agent games in dynamic nonlinear settings are challenging due to the time-varying interactions among the agents and the non-stationarity of the (potential) Nash equilibria. In this paper we consider model-free games, where agent…

Systems and Control · Electrical Eng. & Systems 2025-09-24 Eduardo Sebastián , Maitrayee Keskar , Eeman Iqbal , Eduardo Montijano , Carlos Sagüés , Nikolay Atanasov

This paper explores aggregative games in a network of general linear systems subject to external disturbances. To deal with external disturbances, distributed strategy-updating rules based on internal model are proposed for the case with…

Optimization and Control · Mathematics 2024-10-28 Xin Cai , Feng Xiao , Bo Wei , Mei Yu , Fang Fang

Under what conditions do the behaviors of players, who play a game repeatedly, converge to a Nash equilibrium? If one assumes that the players' behavior is a discrete-time or continuous-time rule whereby the current mixed strategy profile…

Computer Science and Game Theory · Computer Science 2022-03-29 Jason Milionis , Christos Papadimitriou , Georgios Piliouras , Kelly Spendlove

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

Computer Science and Game Theory · Computer Science 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

Optimization and Control · Mathematics 2024-10-30 Dian Gadjov , Lacra Pavel

We study generalized games with full row rank equality constraints and we provide a strikingly simple proof of strong monotonicity of the associated KKT operator. This allows us to show linear convergence to a variational equilibrium of the…

Optimization and Control · Mathematics 2023-04-20 Mattia Bianchi , Emilio Benenati , Sergio Grammatico