2015/06/25 by Francesca Parise, Parise, Francesca, Sergio Grammatico +5
Computer Science · Physics and Astronomy · #Complex Network Analysis Techniques #Computer Science and Game Theory (cs.GT) #Distributed Control Multi-Agent Systems #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Multiagent Systems (cs.MA) #Opinion Dynamics and Social Influence #Optimization and Control (math.OC) #Social and Information Networks (cs.SI) #Systems and Control (eess.SY) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.1506.07719
openalex publication_date 2015/06/25 · openalex created_date 2022/08/29 · openalex updated_date 2026/07/28
We consider network aggregative games to model and study multi-agent\npopulations in which each rational agent is influenced by the aggregate\nbehavior of its neighbors, as specified by an underlying network. Specifically,\nwe examine systems where each agent minimizes a quadratic cost function, that\ndepends on its own strategy and on a convex combination of the strategies of\nits neighbors, and is subject to personalized convex constraints. We analyze\nthe best response dynamics and we propose alternative distributed algorithms to\nsteer the strategies of the rational agents to a Nash equilibrium\nconfiguration. The convergence of these schemes is guaranteed under different\nsufficient conditions, depending on the matrices defining the cost and on the\nnetwork. Additionally, we propose an extension to the network aggregative game\nsetting that allows for multiple rounds of communications among the agents, and\nwe illustrate how it can be combined with consensus theory to recover a\nsolution to the mean field control problem in a distributed fashion, that is,\nwithout requiring the presence of a central coordinator. Finally, we apply our\ntheoretical findings to study a novel multi-dimensional, convex-constrained\nmodel of opinion dynamics and a hierarchical demand-response scheme for energy\nmanagement in smart buildings, extending literature results.\n