Evolutionary Poisson games for controlling large population behaviors

Yezekael Hayel, Quanyan Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Modern infrastructures involve a large population of heterogeneous users or agents in a complex network who strategically make dynamic decisions. In this work, we connect evolutionary games with Poisson games to establish an evolutionary Poisson game framework to capture the random, dynamic and heterogeneous interactions of agents in a holistic fashion. We introduce the notion of evolutionary Poisson stable equilibrium for the game, and show its existence and uniqueness. To illustrate the framework, we use epidemic protection problem as a case study to provide cyber security solutions using the developed framework. In addition, we design online algorithms to control large population behaviors to achieve a system-wide objective based on the techniques of stochastic approximation. Numerical examples are used to illustrate and corroborate our results.

Original languageEnglish (US)
Title of host publication54rd IEEE Conference on Decision and Control,CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages300-305
Number of pages6
ISBN (Electronic)9781479978861
DOIs
StatePublished - Feb 8 2015
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume54rd IEEE Conference on Decision and Control,CDC 2015
ISSN (Print)0743-1546

Other

Other54th IEEE Conference on Decision and Control, CDC 2015
CountryJapan
CityOsaka
Period12/15/1512/18/15

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Control and Optimization

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  • Cite this

    Hayel, Y., & Zhu, Q. (2015). Evolutionary Poisson games for controlling large population behaviors. In 54rd IEEE Conference on Decision and Control,CDC 2015 (pp. 300-305). [7402217] (Proceedings of the IEEE Conference on Decision and Control; Vol. 54rd IEEE Conference on Decision and Control,CDC 2015). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402217