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An important scenario for smart grids which encompass distributed electrical networks is given by the simultaneous presence of aggregators and individual consumers. In this work, an aggregator is seen as an entity (a coalition) which is…

Computer Science and Game Theory · Computer Science 2015-09-25 Olivier Beaude , Cheng Wan , Samson Lasaulce

We study the robust Nash equilibrium (RNE) for a class of games in communications systems and networks where the impact of users on each other is an additive function of their strategies. Each user measures this impact, which may be…

Computer Science and Game Theory · Computer Science 2011-09-21 Saeedeh Parsaeefard , Ahmad R. Sharafat , Mihaela van der Schaar

This paper addresses a class of network games played by dynamic agents using their outputs. Unlike most existing related works, the Nash equilibrium in this work is defined by functions of agent outputs instead of full agent states, which…

Optimization and Control · Mathematics 2023-04-27 Meichen Guo , Claudio De Persis

This paper studies an optimal allocation of demand response (DR) provisions among strategic photovoltaic (PV) prosumers, through third-party DR providers which operate within the territory of the regulated distribution utility. A game…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Sayyid Mohssen Sajjadi , Meng Wu

We consider the problem of computing Nash equilibria in potential games where each player's strategy set is subject to private uncoupled constraints. This scenario is frequently encountered in real-world applications like road network…

Computer Science and Game Theory · Computer Science 2024-02-13 Nikolas Patris , Stelios Stavroulakis , Fivos Kalogiannis , Rose Zhang , Ioannis Panageas

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 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, a multi-cluster game with high-order players is investigated. Different from the well-known multi-cluster games, the dynamics of players are taken into account in our problem. Due to the high-order dynamics of players,…

Systems and Control · Electrical Eng. & Systems 2021-06-28 Zhenhua Deng , Yangyang Liu

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

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…

Optimization and Control · Mathematics 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

We study the performance of approximate Nash equilibria for linear congestion games. We consider how much the price of anarchy worsens and how much the price of stability improves as a function of the approximation factor $\epsilon$. We…

Computer Science and Game Theory · Computer Science 2008-12-18 George Christodoulou , Elias Koutsoupias , Paul Spirakis

In contrast with existing works which rely on the same type of energy-efficiency measure to design distributed power control policies, the present work takes into account the presence of a finite packet buffer at the transmitter side and…

Networking and Internet Architecture · Computer Science 2016-11-17 Vineeth S. Varma , Samson Lasaulce , Yezekael Hayel , Salah Eddine Elayoubi

In nature and society problems arise when different interests are difficult to reconcile, which are modeled in game theory. While most applications assume uncorrelated games, a more detailed modeling is necessary to consider the…

Physics and Society · Physics 2019-08-21 A. D. Correia , H. T. C. Stoof

In practical applications, decision-makers with heterogeneous dynamics may be engaged in the same decision-making process. This motivates us to study distributed Nash equilibrium seeking for games in which players are mixed-order (first-…

Optimization and Control · Mathematics 2022-09-05 Maojiao Ye , Lei Ding , Jizhao Yin

One key in real-life Nash equilibrium applications is to calibrate players' cost functions. To leverage the approximation ability of neural networks, we proposed a general framework for optimizing and learning Nash equilibrium using neural…

Computer Science and Game Theory · Computer Science 2024-09-04 Di Zhang , Wei Gu , Qing Jin

A game-theoretic approach for studying power control in multiple-access networks with transmission delay constraints is proposed. A non-cooperative power control game is considered in which each user seeks to choose a transmit power that…

Information Theory · Computer Science 2016-11-17 Farhad Meshkati , H. Vincent Poor , Stuart C. Schwartz

We propose a real-time nodal pricing mechanism for cost minimization and voltage control in a distribution network with autonomous distributed energy resources and analyze the resulting market using stochastic game theory. Unlike existing…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Eli Brock , Jingqi Li , Javad Lavaei , Somayeh Sojoudi

Synthesis of finite-state controllers from high-level specifications in multi-agent systems can be reduced to solving multi-player concurrent games over finite graphs. The complexity of solving such games with qualitative objectives for…

Computer Science and Game Theory · Computer Science 2018-09-28 Shaull Almagor , Rajeev Alur , Suguman Bansal

This paper investigates Nash equilibrium (NE) seeking problems for noncooperative games over multi-players networks with finite bandwidth communication. A distributed quantized algorithm is presented, which consists of local gradient play,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-11-16 Ziqin Chen , Ji Ma , Shu Liang , Li Li

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
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