The Price of Usability: Designing Operationalizable Strategies for Security Games

Sara Marie McCarthy, Corine Maartje Laan, Kai Wang, Phebe Vayanos, Arunesh Sinha, Millind Tambe

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Abstract

We consider the problem of allocating scarce security resources among heterogeneous targets to thwart a possible attack. It is well known that deterministic solutions to this problem being highly predictable are severely suboptimal. To mitigate this predictability, the game-theoretic security game model was proposed which randomizes over pure (deterministic) strategies, causing confusion in the adversary. Unfortunately, such mixed strategies typically randomize over a large number of strategies, requiring security personnel to be familiar with numerous protocols, making them hard to operationalize. Motivated by these practical considerations, we propose an easy to use approach for computing strategies that are easy to operationalize and that bridge the gap between the static solution and the optimal mixed strategy. These strategies only randomize over an optimally chosen subset of pure strategies whose cardinality is selected by the defender, enabling them to conveniently tune the trade-off between ease of operationalization and efficiency using a single design parameter. We show that the problem of computing such operationalizable strategies is NP-hard, formulate it as a mixed-integer optimization problem, provide an algorithm for computing ϵ-optimal equilibria, and an efficient heuristic. We evaluate the performance of our approach on the problem of screening for threats at airport checkpoints and show that the Price of Us-ability, i.e., the loss in optimality to obtain a strategy that is easier to operationalize, is typically not high.
Original languageEnglish
Title of host publicationProceedings of the 27th International Joint Conference on Artificial Intelligence, IJCAI 2018
Subtitle of host publicationIJCAI-18
EditorsJérôme Lang
Place of PublicationStockholm
PublisherDBLP Computer Science Bibliography
Pages454-460
Number of pages7
Volume2018-July
ISBN (Electronic)9780999241127
ISBN (Print)978-0-9992411-2-7
DOIs
Publication statusPublished - Jul 2018

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    McCarthy, S. M., Laan, C. M., Wang, K., Vayanos, P., Sinha, A., & Tambe, M. (2018). The Price of Usability: Designing Operationalizable Strategies for Security Games. In J. Lang (Ed.), Proceedings of the 27th International Joint Conference on Artificial Intelligence, IJCAI 2018: IJCAI-18 (Vol. 2018-July, pp. 454-460). Stockholm: DBLP Computer Science Bibliography. https://doi.org/10.24963/ijcai.2018/63