Mean-Field-Game Model for Botnet Defense in Cyber-Security

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)669-692
Journal / PublicationApplied Mathematics and Optimization
Volume74
Issue number3
Online published9 Nov 2016
Publication statusPublished - Dec 2016
Externally publishedYes

Link(s)

Abstract

We initiate the analysis of the response of computer owners to various offers of defence systems against a cyber-hacker (for instance, a botnet attack), as a stochastic game of a large number of interacting agents. We introduce a simple mean-field game that models their behavior. It takes into account both the random process of the propagation of the infection (controlled by the botner herder) and the decision making process of customers. Its stationary version turns out to be exactly solvable (but not at all trivial) under an additional natural assumption that the execution time of the decisions of the customers (say, switch on or out the defence system) is much faster that the infection rates.

Research Area(s)

  • Botnet defence, Mean-field game, Phase transitions, Stable equilibrium

Citation Format(s)

Mean-Field-Game Model for Botnet Defense in Cyber-Security. / Kolokoltsov, V. N.; Bensoussan, A.
In: Applied Mathematics and Optimization, Vol. 74, No. 3, 12.2016, p. 669-692.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

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