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In this work, we study stochastic non-cooperative games, where only noisy black-box function evaluations are available to estimate the cost function for each player. Since each player's cost function depends on both its own decision…

Computer Science and Game Theory · Computer Science 2025-11-18 Haidong Li , Anzhi Sheng , Yijie Peng , Long Wang

The distributed computation of a Nash equilibrium in aggregative games is gaining increased traction in recent years. Of particular interest is the mediator-free scenario where individual players only access or observe the decisions of…

Computer Science and Game Theory · Computer Science 2023-06-26 Yongqiang Wang , Angelia Nedich

We consider the Nash equilibrium problem in a partial-decision information scenario. Specifically, each agent can only receive information from some neighbors via a communication network, while its cost function depends on the strategies of…

Optimization and Control · Mathematics 2021-05-07 Mattia Bianchi , Sergio Grammatico

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…

Optimization and Control · Mathematics 2019-11-26 Maojiao Ye , Guoqiang Hu , Lihua Xie , Shengyuan Xu

This paper explores distributed Nash equilibrium seeking problems for games in which the players have limited knowledge on other players' actions. In particular, the involved players are considered to be high-order integrators with their…

Optimization and Control · Mathematics 2021-08-17 Maojiao Ye , Lei Ding , Shengyuan Xu

We propose fully-distributed algorithms for Nash equilibrium seeking in aggregative games over networks. We first consider the case where local constraints are present and we design an algorithm combining, for each agent, (i) the projected…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

We design a distributed algorithm for learning Nash equilibria over time-varying communication networks in a partial-decision information scenario, where each agent can access its own cost function and local feasible set, but can only…

Optimization and Control · Mathematics 2020-09-11 Mattia Bianchi , Sergio Grammatico

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

Optimization and Control · Mathematics 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

Noticing that physical limitations are ubiquitous in practical engineering systems, this paper considers Nash equilibrium seeking for games in systems where the control inputs are bounded. More specifically, first-order integrator-type…

Optimization and Control · Mathematics 2020-09-29 Maojiao Ye

This paper mainly investigates a class of distributed Variational Generalized Nash Equilibrium (VGNE) seeking problems for both online noncooperative games and online aggregative games with time-varying coupling inequality constraints. Two…

Optimization and Control · Mathematics 2026-04-13 Jianing Chen , Sichen Qian , Chuangyin Dang , Sitian Qin

We address differential privacy for fully distributed aggregative games with shared coupling constraints. By co-designing the generalized Nash equilibrium (GNE) seeking mechanism and the differential-privacy noise injection mechanism, we…

Computer Science and Game Theory · Computer Science 2024-07-17 Yongqiang Wang

Coordinated optimization and control of distribution-level assets can enable a reliable and optimal integration of massive amount of distributed energy resources (DERs) and facilitate distribution system management (DSM). Accordingly, the…

Systems and Control · Computer Science 2018-08-15 Kaiqing Zhang , Wei Shi , Hao Zhu , Emiliano Dall'Anese , Tamer Başar

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

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…

Optimization and Control · Mathematics 2018-12-04 Claudio De Persis , Sergio Grammatico

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

In this paper, we consider a distributed learning problem in a subnetwork zero-sum game, where agents are competing in different subnetworks. These agents are connected through time-varying graphs where each agent has its own cost function…

Optimization and Control · Mathematics 2021-08-05 Shijie Huang , Jinlong Lei , Yiguang Hong , Uday V. Shanbhag , Jie Chen

We design a distributed algorithm to seek generalized Nash equilibria of a robust game with uncertain coupled constraints. Due to the uncertainty of parameters in set constraints, we aim to find a generalized Nash equilibrium in the worst…

Optimization and Control · Mathematics 2022-04-05 Gehui Xu , Guanpu Chen , Hongsheng Qi

We present a fully-distributed algorithm for Nash equilibrium seeking in aggregative games over networks. The proposed scheme endows each agent with a gradient-based scheme equipped with a tracking mechanism to locally reconstruct the…

Systems and Control · Electrical Eng. & Systems 2025-05-28 Guido Carnevale , Filippo Fabiani , Filiberto Fele , Kostas Margellos , Giuseppe Notarstefano

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.…

Optimization and Control · Mathematics 2023-10-05 Ying Zhai , Rui Yuan , Huan Su

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