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Modeling Arbitrary Layers of Continuous‐Level Defenses in Facing with Strategic Attackers
Author(s) -
Golalikhani Mohsen,
Zhuang Jun
Publication year - 2011
Publication title -
risk analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.972
H-Index - 130
eISSN - 1539-6924
pISSN - 0272-4332
DOI - 10.1111/j.1539-6924.2010.01531.x
Subject(s) - novelty , stochastic game , computer science , game theory , similarity (geometry) , mathematical optimization , class (philosophy) , operations research , computer security , mathematical economics , artificial intelligence , mathematics , philosophy , theology , image (mathematics)
We propose a novel class of game‐theoretic models for the optimal assignment of defensive resources in a game between a defender and an attacker. Compared to the other game‐theoretic models in the literature of defense allocation problems, the novelty of our model is that we allow the defender to assign her continuous‐level defensive resources to any subset (or arbitrary layers) of targets due to functional similarity or geographical proximity. We develop methods to solve for equilibrium, and illustrate our model using numerical examples. Compared to traditional models that only allow for individual target hardening, our results show that our model could significantly increase the defender's payoff, especially when the unit cost of defense is high.