TY - GEN
T1 - Evolutionary Poisson games for controlling large population behaviors
AU - Hayel, Yezekael
AU - Zhu, Quanyan
N1 - Publisher Copyright:
© 2015 IEEE.
PY - 2015/2/8
Y1 - 2015/2/8
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84961989867&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84961989867&partnerID=8YFLogxK
U2 - 10.1109/CDC.2015.7402217
DO - 10.1109/CDC.2015.7402217
M3 - Conference contribution
AN - SCOPUS:84961989867
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 300
EP - 305
BT - 54rd IEEE Conference on Decision and Control,CDC 2015
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 54th IEEE Conference on Decision and Control, CDC 2015
Y2 - 15 December 2015 through 18 December 2015
ER -