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Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and distributed average tracking dynamics, and is…

Optimization and Control · Mathematics 2021-12-07 Shu Liang , Peng Yi , Yiguang Hong , Kaixiang Peng

We study incentive designs for a class of stochastic Stackelberg games with one leader and a large number of (finite as well as infinite population of) followers. We investigate whether the leader can craft a strategy under a dynamic…

Computer Science and Game Theory · Computer Science 2024-02-13 Sina Sanjari , Subhonmesh Bose , Tamer Başar

In this paper, we consider a learning problem among non-cooperative agents interacting in a time-varying system. Specifically, we focus on repeated linear quadratic network games, in which the network of interactions changes with time and…

Computer Science and Game Theory · Computer Science 2023-10-23 Feras Al Taha , Kiran Rokade , Francesca Parise

This paper proposes a distributed algorithm to find the Nash equilibrium in a class of non-cooperative convex games with partial-decision information. Our method employs a distributed projected gradient play approach alongside consensus…

Computer Science and Game Theory · Computer Science 2024-12-13 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedić

We design the first fully-distributed algorithm for generalized Nash equilibrium seeking in aggregative games on a time-varying communication network, under partial-decision information, i.e., the agents have no direct access to the…

Optimization and Control · Mathematics 2022-06-16 Giuseppe Belgioioso , Angelia Nedić , Sergio Grammatico

Consider a set of agents who play a network game repeatedly. Agents may not know the network. They may even be unaware that they are interacting with other agents in a network. Possibly, they just understand that their payoffs depend on an…

Theoretical Economics · Economics 2022-07-26 Pierpaolo Battigalli , Fabrizio Panebianco , Paolo Pin

One of the natural objectives of the field of the social networks is to predict agents' behaviour. To better understand the spread of various products through a social network arXiv:1105.2434 introduced a threshold model, in which the nodes…

Computer Science and Game Theory · Computer Science 2013-04-09 Sunil Simon , Krzysztof R. Apt

In this paper, we study a distributed continuous-time design for aggregative games with coupled constraints in order to seek the generalized Nash equilibrium by a group of agents via simple local information exchange. To solve the problem,…

Optimization and Control · Mathematics 2022-06-14 Shu Liang , Peng Yi , Yiguang Hong

We propose a new class of game-theoretic models for network formation in which strategies are not directly related to edge choices, but instead correspond more generally to the exertion of social effort. The observed social network is thus…

Computer Science and Game Theory · Computer Science 2010-09-23 Christian Borgs , Jennifer Chayes , Jian Ding , Brendan Lucier

This paper aims to reduce the communication and computation costs of the Nash equilibrium seeking strategy for the $N$-coalition noncooperative games proposed in [1]. The objective is achieved in two manners: 1. An interference graph is…

Optimization and Control · Mathematics 2019-06-05 Maojiao Ye , Guoqiang Hu , Frank L. Lewis , Lihua Xie

In this paper, the problem of finding a Nash equilibrium of a multi-player game is considered. The players are only aware of their own cost functions as well as the action space of all players. We develop a relatively fast algorithm within…

Systems and Control · Computer Science 2017-05-09 Farzad Salehisadaghiani , Lacra Pavel

The very notion of social network implies that linked individuals interact repeatedly with each other. This allows them not only to learn successful strategies and adapt to them, but also to condition their own behavior on the behavior of…

Physics and Society · Physics 2015-05-27 Luca Dall'Asta , Matteo Marsili , Paolo Pin

This study considers a federated learning setup where cost-sensitive and strategic agents train a learning model with a server. During each round, each agent samples a minibatch of training data and sends his gradient update. As an…

Machine Learning · Computer Science 2022-12-06 Abdullah Basar Akbay , Cihan Tepedelenlioglu

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

Motivated by the complex dynamics of cooperative and competitive interactions within networked agent systems, multi-cluster games provide a framework for modeling the interconnected goals of self-interested clusters of agents. For this…

Optimization and Control · Mathematics 2024-04-24 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

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

This paper considers a class of noncooperative games in which the feasible decision sets of all players are coupled together by a coupled inequality constraint. Adopting the variational inequality formulation of the game, we first introduce…

Computer Science and Game Theory · Computer Science 2024-02-13 Huaqing Li , Liang Ran , Lifeng Zheng , Zhe Li , Jinhui Hu , Jun Li , Tingwen Huang

This work studies Nash equilibrium seeking for a class of stochastic aggregative games, where each player has an expectation-valued objective function depending on its local strategy and the aggregate of all players' strategies. We propose…

Optimization and Control · Mathematics 2022-05-17 Tongyu Wang , Peng Yi , Jie Chen

This paper addresses the distributed Nash Equilibrium seeking problem for aggregative games, where legitimate players' decisions are affected by potential malicious players. To describe players' behavior, we introduce a novel heterogeneous…

Systems and Control · Electrical Eng. & Systems 2025-12-01 Kai-Yuan Guo , Yan-Wu Wang , Xiao-Kang Liu , Zhi-Wei Liu

This paper designs a distributed stochastic annealing algorithm for non-convex cooperative aggregative games, whose agents' cost functions not only depend on agents' own decision variables but also rely on the sum of agents' decision…

Optimization and Control · Mathematics 2022-04-05 Yinghui Wang , Xiaoxue Geng , Guanpu Chen , Wenxiao Zhao