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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

We consider a network of prosumers involved in peer-to-peer energy exchanges, with differentiation price preferences on the trades with their neighbors, and we analyze two market designs: (i) a centralized market, used as a benchmark, where…

最优化与控制 · 数学 2018-12-07 Hélène Le Cadre , Paulin Jacquot , Cheng Wan , Clémence Alasseur

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

Facing the dilemma of growing energy demand and mitigating carbon emissions, this paper proposes an energy sharing mechanism based on virtual federated prosumers (VFPs) with budget allocation for joint electricity and carbon market to…

最优化与控制 · 数学 2021-09-16 Lu Wang , Zhi Wu , Wei Gu , Haifeng Qiu , Shuai Lu

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…

最优化与控制 · 数学 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

This paper explores distributed aggregative games in multi-agent systems. Current methods for finding distributed Nash equilibrium require players to send original messages to their neighbors, leading to communication burden and privacy…

系统与控制 · 电气工程与系统科学 2024-05-07 Wei Huo , Xiaomeng Chen , Kemi Ding , Subhrakanti Dey , Ling Shi

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…

最优化与控制 · 数学 2018-12-04 Claudio De Persis , Sergio Grammatico

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

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…

计算机科学与博弈论 · 计算机科学 2023-06-26 Yongqiang Wang , Angelia Nedich

We consider a stochastic generalized Nash equilibrium problem (GNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm by exploiting the forward-backward operator…

最优化与控制 · 数学 2020-02-17 Barbara Franci , Sergio Grammatico

We consider the stochastic generalized Nash equilibrium problem (SGNEP) with expected-value cost functions. Inspired by Yi and Pavel (Automatica, 2019), we propose a distributed GNE seeking algorithm based on the preconditioned…

最优化与控制 · 数学 2020-02-24 Barbara Franci , Sergio Grammatico

In this paper, we consider a distributed Bayesian Nash equilibrium (BNE) seeking problem in incomplete-information aggregative games, which is a generalization of Bayesian games and deterministic aggregative games. We handle the aggregation…

最优化与控制 · 数学 2023-09-19 Hanzheng Zhang , Guanpu Chen , Huashu Qin

Generalized Nash equilibrium (GNE) is a solution concept for complete information games, in which each player's objective function and feasible region depend on other players' actions. While numerical methods for finding GNE when players…

最优化与控制 · 数学 2025-12-10 Stuart M. Harwood , Dimitri J. Papageorgiou

We present two distributed algorithms for the computation of a generalized Nash equilibrium in monotone games. The first algorithm follows from a forward-backward-forward operator splitting, while the second, which requires the…

最优化与控制 · 数学 2020-02-17 Barbara Franci , Mathias Staudigl , Sergio Grammatico

This paper studies distributed online bandit learning of generalized Nash equilibria for online game, where cost functions of all players and coupled constraints are time-varying. The values rather than full information of cost and local…

最优化与控制 · 数学 2022-04-21 Min Meng , Xiuxian Li , Jie Chen

In this paper, we consider microgrids that interconnect prosumers with distributed energy resources and dynamic loads. Prosumers are connected through the microgrid to trade energy and gain profit while respecting the network constraints.…

系统与控制 · 电气工程与系统科学 2024-02-07 Zeinab Salehi , Yijun Chen , Ian R. Petersen , Elizabeth L. Ratnam , Guodong Shi

In this paper, we analyze the problem of power control in a multiuser MIMO network, where the optimal linear precoder is employed in each user to achieve maximum point- to-point information rate. We design a distributed power control…

计算机科学与博弈论 · 计算机科学 2014-12-03 Peyman Siyari , Hassan Aghaeinia

Electricity market design that accounts for grid constraints such as voltage and thermal limits at the distribution level can increase opportunities for the grid integration of Distributed Energy Resources (DERs). In this paper, we consider…

系统与控制 · 电气工程与系统科学 2026-02-24 Zeinab Salehi , Elizabeth L. Ratnam , Yijun Chen , Ian R. Petersen , Guodong Shi , Duncan S. Callaway

Public goods games in undirected networks are generally known to have pure Nash equilibria, which are easy to find. In contrast, we prove that, in directed networks, a broad range of public goods games have intractable equilibrium problems:…

计算机科学与博弈论 · 计算机科学 2021-07-15 Christos Papadimitriou , Binghui Peng

This paper investigates the decentralized provision of public goods in directed networks. We establish a correspondence between kernels in graph theory and specialized equilibria in which players either contribute a fixed threshold amount…

理论经济学 · 经济学 2025-12-30 Jingmin Huang , Yang Sun , Fanqi Xu , Wei Zhao