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This paper introduces a consensus-based generalized multi-population aggregative game coordination approach with application to electric vehicles charging under transmission line constraints. The algorithm enables agents to seek an…

系统与控制 · 电气工程与系统科学 2023-10-19 Mahsa Ghavami , Babak Ghaffarzadeh Bakhshayesh , Mohammad Haeri , Giacomo Como , Hamed Kebriaei

This work investigates a problem of simultaneous global cost minimization and Nash equilibrium seeking, which commonly exists in $N$-cluster non-cooperative games. Specifically, the agents in the same cluster collaborate to minimize a…

最优化与控制 · 数学 2022-03-18 Yipeng Pang , Guoqiang Hu

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…

计算机科学与博弈论 · 计算机科学 2024-12-13 Duong Thuy Anh Nguyen , Duong Tung Nguyen , Angelia Nedić

Distributed Nash equilibrium (NE) seeking problems for networked games have been widely investigated in recent years. Despite the increasing attention, communication expenditure is becoming a major bottleneck for scaling up distributed…

系统与控制 · 电气工程与系统科学 2024-06-17 Xiaomeng Chen , Wei Huo , Yuchi Wu , Subhrakanti Dey , Ling Shi

In this paper, we consider a continuous-type Bayesian Nash equilibrium (BNE) seeking problem in subnetwork zero-sum games, which is a generalization of deterministic subnetwork zero-sum games and discrete-type Bayesian zero-sum games. In…

最优化与控制 · 数学 2023-09-15 Hanzheng Zhang , Guanpu Chen , Yiguang Hong

In dynamic games with shared constraints, Generalized Nash Equilibria (GNE) are often computed using the normalized solution concept, which assumes identical Lagrange multipliers for shared constraints across all players. While widely used,…

机器人学 · 计算机科学 2025-11-07 Mark Pustilnik , Francesco Borrelli

With the proliferation of distributed generations, traditional passive consumers in distribution networks are evolving into "prosumers", which can both produce and consume energy. Energy trading with the main grid or between prosumers is…

最优化与控制 · 数学 2022-10-06 Yongkai Xie , Zhaojian Wang , John Z. F. Pang , Bo Yang , Xinping Guan

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…

最优化与控制 · 数学 2022-04-05 Gehui Xu , Guanpu Chen , Hongsheng Qi

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,…

系统与控制 · 电气工程与系统科学 2021-06-28 Zhenhua Deng , Yangyang Liu

We propose locally convergent Nash equilibrium seeking algorithms for $N$-player noncooperative games, which use distributed event-triggered pseudo-gradient estimates. The proposed approach employs sinusoidal perturbations to estimate the…

最优化与控制 · 数学 2025-05-13 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Tamer Basar

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…

最优化与控制 · 数学 2024-10-28 Xin Cai , Feng Xiao , Bo Wei , Mei Yu , Fang Fang

This work proposes a policy learning algorithm for seeking generalised feedback Nash equilibria (GFNE) in $N_P$-player noncooperative dynamic games. We consider linear-quadratic games with stochastic dynamics and design a best-response…

最优化与控制 · 数学 2025-06-13 Otacilio B. L. Neto , Michela Mulas , Francesco Corona

This paper proposes a novel approach for local convergence to Nash equilibrium in quadratic noncooperative games based on a distributed Lie-bracket extremum seeking control scheme. This is the first instance of noncooperative games being…

最优化与控制 · 数学 2025-01-22 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Tamer Basar

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

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…

最优化与控制 · 数学 2021-08-17 Maojiao Ye , Lei Ding , Shengyuan Xu

In current power distribution systems, one of the most challenging operation tasks is to coordinate the network- wide distributed energy resources (DERs) to maintain the stability of voltage magnitude of the system. This voltage control…

系统与控制 · 计算机科学 2018-04-04 Kaiqing Zhang , Wei Shi , Hao Zhu , Tamer Başar

Distributed Nash equilibrium seeking for games in uncertain networked systems without a prior knowledge about control directions is explored in this paper. More specifically, the dynamics of the players are supposed to be first-order or…

最优化与控制 · 数学 2020-09-29 Maojiao Ye , Shengyuan Xu , Jizhao Yin

This paper investigates stochastic generalized dynamic games with coupling chance constraints, where agents have incomplete information about uncertainties satisfying a concentration of measure property. This problem, in general, is…

系统与控制 · 电气工程与系统科学 2026-02-06 Seyed Shahram Yadollahi , Hamed Kebriaei , Sadegh Soudjani

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…

最优化与控制 · 数学 2021-06-02 Barbara Franci , Sergio Grammatico

To facilitate effective, safe deployment in the real world, individual robots must reason about interactions with other agents, which often occur without explicit communication. Recent work has identified game theory, particularly the…

机器人学 · 计算机科学 2025-12-30 Avishav Engle , Andrey Zhitnikov , Oren Salzman , Omer Ben-Porat , Kiril Solovey