In this paper we consider the problem of distributedconvergence to a Nash equilibrium based on minimalinformation about the underlying noncooperative game. We assume that the players/agents generate their actions based only on measurements of local cost functions, which are corrupted with additive noise. Structural parameters of theirown and other players’ costs, as well as the actions of the other players are unknown. Furthermore, we assume that theagents may have dynamics: their actions can not be changedinstantaneously. We propose a method based on a stochasticextremum seeking algorithm with sinusoidal perturbations and we prove its convergence, with probability one, to a Nashequilibrium. We discuss how the proposed algorithm can be adopted for solving coordination problems in mobile sensornetworks, taking into account specific motion dynamics of the sensors. The local cost functions can be designed such that some specific overall goal is achieved. We give an example in which each agent/sensor needs to fulfill a locally defined goal, while maintaining connectivity with neighboring agents. The proposed algorithms are illustrated through simulations. ; © 2010 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.QC 20111121


    Access

    Download


    Export, share and cite



    Title :

    Distributed Seeking of Nash Equilibria in Mobile Sensor Networks


    Contributors:

    Publication date :

    2010-01-01



    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    Classification :

    DDC:    629



    An Asynchronous, Forward-Backward, Distributed Generalized Nash Equilibrium Seeking Algorithm (I)

    Cenedese, Carlo / Belgioioso, Giuseppe / Grammatico, Sergio et al. | BASE | 2019

    Free access

    Distributed Generalized Nash Equilibrium Seeking for Energy Sharing Games in Prosumers.

    Wang, Zhaojian / Liu, Feng / Ma, Zhiyuan et al. | BASE | 2021

    Free access


    On Distributed Scheduling of Flexible Demand and Nash Equilibria in the Electricity Market

    De Paola, Antonio / Angeli, David / Strbac, Goran | BASE | 2017

    Free access

    Target Selection for Tracking in Multifunction Radar Networks: Nash and Correlated Equilibria

    Bogdanovic, Nikola / Driessen, Hans / Yarovoy, Alexander G. | IEEE | 2018