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We study the problem of computing an approximate Nash equilibrium of continuous-action game without access to gradients. Such game access is common in reinforcement learning settings, where the environment is typically treated as a black…

Computer Science and Game Theory · Computer Science 2023-08-30 Carlos Martin , Tuomas Sandholm

Securely and efficiently procuring energy balancing services in distribution networks remains challenging, especially within a privacy-preserving environment. This paper proposes a network-constrained demand response game, i.e., a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Xiupeng Chen , Koorosh Shomalzadeh , Jacquelien M. A. Scherpen , Nima Monshizadeh

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

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

The distributed computation of a Nash equilibrium (NE) for non-cooperative games is gaining increased attention recently. Due to the nature of distributed systems, privacy and communication efficiency are two critical concerns. Traditional…

Systems and Control · Electrical Eng. & Systems 2024-05-09 Xiaomeng Chen , Wei Huo , Kemi Ding , Subhrakanti Dey , Ling Shi

This paper investigates the privacy-preserving distributed Nash equilibrium seeking problem for aggregative games. A novel differential privacy mechanism is designed by incorporating stochastic event-triggering with stochastic quantization,…

Optimization and Control · Mathematics 2026-05-27 Qingtan Meng , Qian Ma

Nash Equilibrium and its robust counterpart, Distributionally Robust Nash Equilibrium (DRNE), are fundamental problems in game theory with applications in economics, engineering, and machine learning. This paper addresses the problem of…

Optimization and Control · Mathematics 2025-10-21 Zeinab Alizadeh , Azadeh Farsi , Afrooz Jalilzadeh

We consider a distributed stochastic approximation (SA) scheme for computing an equilibrium of a stochastic Nash game. Standard SA schemes employ diminishing steplength sequences that are square summable but not summable. Such requirements…

Optimization and Control · Mathematics 2013-03-20 Farzad Yousefian , Angelia Nedich , Uday V. Shanbhag

The decision making and management of many engineering networks involves multiple parties with conflicting interests, while each party is constituted with multiple agents. Such problems can be casted as a multi-cluster game. Each cluster is…

Computer Science and Game Theory · Computer Science 2022-05-25 Yue Chen , Peng Yi

We consider for the first time a stochastic generalized Nash equilibrium problem, i.e., with expected-value cost functions and joint feasibility constraints, under partial-decision information, meaning that the agents communicate only with…

Optimization and Control · Mathematics 2021-06-02 Barbara Franci , Sergio Grammatico

We propose a fully asynchronous networked aggregative game (Asy-NAG) where each player minimizes a cost function that depends on its local action and the aggregate of all players' actions. In sharp contrast to the existing NAGs, each player…

Optimization and Control · Mathematics 2021-01-25 Rongping Zhu , Jiaqi Zhang , Keyou You , Tamer Başar

This paper aims to accommodate games in which the players' dynamics are subject to un-modeled and disturbance terms. The un-modeled and disturbance terms are regarded as extended states for which observers are designed to estimate them.…

Optimization and Control · Mathematics 2020-04-22 Maojiao Ye

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

This paper investigates the equilibrium convergence properties of a proposed algorithm for potential games with continuous strategy spaces in the presence of feedback delays, a main challenge in multi-agent systems that compromises the…

Optimization and Control · Mathematics 2023-03-20 Yuanhanqing Huang , Jianghai Hu

In stochastic Nash equilibrium problems (SNEPs), it is natural for players to be uncertain about their complex environments and have multi-dimensional unknown parameters in their models. Among various SNEPs, this paper focuses on locally…

Optimization and Control · Mathematics 2022-04-06 Yuanhanqing Huang , Jianghai Hu

The generalized Nash equilibrium problem (GNEP) is a kind of game to find strategies for a group of players such that each player's objective function is optimized. Solutions for GNEPs are called generalized Nash equilibria (GNEs). In this…

Optimization and Control · Mathematics 2023-02-17 Kisun Lee , Xindong Tang

Efficient distributed spectrum sharing mechanism is crucial for improving the spectrum utilization. The spatial aspect of spectrum sharing, however, is less understood than many other aspects. In this paper, we generalize a recently…

Networking and Internet Architecture · Computer Science 2012-09-25 Xu Chen , Jianwei Huang

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

Blotto Games are a popular model of multi-dimensional strategic resource allocation. Two players allocate resources in different battlefields in an auction setting. While competition with equal budgets is well understood, little is known…

Neural and Evolutionary Computing · Computer Science 2021-03-29 Aymeric Vie

This paper investigates the distributed Nash equilibrium seeking problem for two-network zero-sum games with set constraints, where the two networks have the opposite nonsmooth cost functions. The interaction of the agents in each network…

Optimization and Control · Mathematics 2019-12-03 Dandan Yue , Ziyang Meng