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In this work, we study stochastic one-shot games where agents' utilities depend on the collective strategy profiles of other agents as well as on some well-behaved randomness. While each decision-maker is agnostic to the random variable's…

最优化与控制 · 数学 2026-05-18 Nirabhra Mandal , Sonia Martínez

Constrained Markov games offer a formal mathematical framework for modeling multi-agent reinforcement learning problems where the behavior of the agents is subject to constraints. In this work, we focus on the recently introduced class of…

机器学习 · 计算机科学 2024-02-29 Philip Jordan , Anas Barakat , Niao He

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…

最优化与控制 · 数学 2024-10-30 Dian Gadjov , Lacra Pavel

Learning in games provides a powerful framework to design control policies for self-interested agents that may be coupled through their dynamics, costs, or constraints. We consider the case where the dynamics of the coupled system can be…

系统与控制 · 电气工程与系统科学 2024-09-18 Mostafa M. Shibl , Vijay Gupta

This paper considers the maximization of information rates for the Gaussian frequency-selective interference channel, subject to power and spectral mask constraints on each link. To derive decentralized solutions that do not require any…

信息论 · 计算机科学 2008-01-17 Gesualdo Scutari , Daniel P. Palomar , Sergio Barbarossa

We propose a distributed algorithm for multiagent systems that aim to optimize a common objective when agents differ in their estimates of the objective-relevant state of the environment. Each agent keeps an estimate of the environment and…

系统与控制 · 电气工程与系统科学 2019-12-10 Sina Arefizadeh , Ceyhun Eksin

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE) seeking problem in incomplete-information aggregative games, which is a generalization of Bayesian games and deterministic aggregative games. We handle the aggregation…

最优化与控制 · 数学 2023-09-19 Hanzheng Zhang , Guanpu Chen , Huashu Qin

We consider a gossip approach for finding a Nash equilibrium in a distributed multi-player network game. We extend previous results on Nash equilibrium seeking to the case when the players' cost functions may be affected by the actions of…

系统与控制 · 计算机科学 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

We consider distributed learning problem in games with an unknown cost-relevant parameter, and aim to find the Nash equilibrium while learning the true parameter. Inspired by the social learning literature, we propose a distributed…

最优化与控制 · 数学 2023-03-14 Shijie Huang , Jinlong Lei , Yiguang Hong

This paper considers the privacy-preserving Nash equilibrium seeking strategy design for a class of networked aggregative games, in which the players' objective functions are considered to be sensitive information to be protected. In…

最优化与控制 · 数学 2019-11-26 Maojiao Ye , Guoqiang Hu , Lihua Xie , Shengyuan Xu

Continuous-time gradient-based Nash equilibrium seeking algorithms enjoy a passivity property under a suitable monotonicity assumption. This feature has been exploited to design distributed algorithms that converge to Nash equilibria and…

最优化与控制 · 数学 2018-12-04 Claudio De Persis , Sergio Grammatico

This paper investigates the Nash equilibrium seeking problems for networked games with intermittent communication, where each player is capable of communicating with other players intermittently over a strongly connected and directed graph.…

最优化与控制 · 数学 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

最优化与控制 · 数学 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

We consider a class of two-player dynamic stochastic nonzero-sum games where the state transition and observation equations are linear, and the primitive random variables are Gaussian. Each controller acquires possibly different dynamic…

系统与控制 · 计算机科学 2014-01-21 Abhishek Gupta , Ashutosh Nayyar , Cedric Langbort , Tamer Basar

In this work, we study the distributed Nash equilibrium seeking problem for monotone generalized noncooperative games with set constraints and shared affine inequality constraints. A distributed regularized penalty method is proposed. The…

最优化与控制 · 数学 2021-09-28 Chao Sun , Guoqiang Hu

This paper studies cooperative control of noncooperative double-integrator multi-agent systems (MASs) with input delay on connected directed graphs in the context of a differential graphical game (DGG). In the distributed DGG, each agent…

系统与控制 · 电气工程与系统科学 2024-03-04 Hossein B. Jond

We consider generalized Nash equilibrium problems (GNEPs) with linear coupling constraints affected by both local (i.e., agent-wise) and global (i.e., shared resources) disturbances taking values in polyhedral uncertainty sets. By making…

系统与控制 · 电气工程与系统科学 2023-04-07 Marta Fochesato , Filippo Fabiani , John Lygeros

We are concerned with finding Nash Equilibria in agent-based multi-cluster games, where agents are separated into distinct clusters. While the agents inside each cluster collaborate to achieve a common goal, the clusters are considered to…

系统与控制 · 电气工程与系统科学 2021-02-19 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

We consider multi-agent decision making where each agent's cost function depends on all agents' strategies. We propose a distributed algorithm to learn a Nash equilibrium, whereby each agent uses only obtained values of her cost function at…

多智能体系统 · 计算机科学 2019-04-04 Tatiana Tatarenko , Maryam Kamgarpour

We consider the framework of aggregative games, in which the cost function of each agent depends on his own strategy and on the average population strategy. As first contribution, we investigate the relations between the concepts of Nash…

系统与控制 · 计算机科学 2018-07-27 Dario Paccagnan , Basilio Gentile , Francesca Parise , Maryam Kamgarpour , John Lygeros