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Algorithms for Subgame Abstraction with Applications to Cyber Defense

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Decision and Game Theory for Security (GameSec 2018)

Abstract

It is typically infeasible to use automated intrusion detection systems to scan every single host in a network with high sensitivity and frequency due to high costs and large network sizes. We present a game-theoretic model between a network administrator and a worm using normal form games with a particular structure where the network admin wants to maximize the security of the network using limited resources, and the attacker wants to infect the network without getting caught. However, a large number of hosts in a network can result in a massive game, making it problematic to compute standard solutions like Nash equilibrium. We propose an abstraction approach for solving large games that have a subgame structure and show that it can be used to solve much larger instances of this cybersecurity scenario than standard algorithms.

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Acknowledgement

This research was sponsored by the Army Research Laboratory and was accomplished under Cooperative Agreement Number W911NF-13-2-0045 (ARL Cyber Security CRA). The views and conclusions contained in this document are those of the authors and should not be interpreted as representing the official policies, either expressed or implied, of the Army Research Laboratory or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes not with standing any copyright notation here on.

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Correspondence to Anjon Basak .

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Basak, A., Gutierrez, M., Kiekintveld, C. (2018). Algorithms for Subgame Abstraction with Applications to Cyber Defense. In: Bushnell, L., Poovendran, R., BaÅŸar, T. (eds) Decision and Game Theory for Security. GameSec 2018. Lecture Notes in Computer Science(), vol 11199. Springer, Cham. https://doi.org/10.1007/978-3-030-01554-1_32

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  • DOI: https://doi.org/10.1007/978-3-030-01554-1_32

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-01553-4

  • Online ISBN: 978-3-030-01554-1

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