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 publication2015 54th IEEE Conference on Decision and Control, CDC 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages300-305
Number of pages6
Volume2016-February
ISBN (Print)9781479978861
DOIs
StatePublished - Feb 8 2016
Event54th IEEE Conference on Decision and Control, CDC 2015 - Osaka, Japan
Duration: Dec 15 2015Dec 18 2015

Other

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

Fingerprint

Siméon Denis Poisson
Game
Complex networks
Evolutionary Game
Stochastic Approximation
Online Algorithms
Complex Networks
Existence and Uniqueness
Infrastructure
Numerical Examples
Interaction
Framework
Design

ASJC Scopus subject areas

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

Cite this

Hayel, Y., & Zhu, Q. (2016). Evolutionary Poisson games for controlling large population behaviors. In 2015 54th IEEE Conference on Decision and Control, CDC 2015 (Vol. 2016-February, pp. 300-305). [7402217] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2015.7402217

Evolutionary Poisson games for controlling large population behaviors. / Hayel, Yezekael; Zhu, Quanyan.

2015 54th IEEE Conference on Decision and Control, CDC 2015. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. p. 300-305 7402217.

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

Hayel, Y & Zhu, Q 2016, Evolutionary Poisson games for controlling large population behaviors. in 2015 54th IEEE Conference on Decision and Control, CDC 2015. vol. 2016-February, 7402217, Institute of Electrical and Electronics Engineers Inc., pp. 300-305, 54th IEEE Conference on Decision and Control, CDC 2015, Osaka, Japan, 12/15/15. https://doi.org/10.1109/CDC.2015.7402217
Hayel Y, Zhu Q. Evolutionary Poisson games for controlling large population behaviors. In 2015 54th IEEE Conference on Decision and Control, CDC 2015. Vol. 2016-February. Institute of Electrical and Electronics Engineers Inc. 2016. p. 300-305. 7402217 https://doi.org/10.1109/CDC.2015.7402217
Hayel, Yezekael ; Zhu, Quanyan. / Evolutionary Poisson games for controlling large population behaviors. 2015 54th IEEE Conference on Decision and Control, CDC 2015. Vol. 2016-February Institute of Electrical and Electronics Engineers Inc., 2016. pp. 300-305
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