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

Journal Article · · Applied Mathematics and Optimization
 [1]
  1. The University of Texas at Dallas, School of Management (United States)

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.

OSTI ID:
22617152
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 74; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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