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Published in:
2021 | OriginalPaper | Chapter
Locks, Bombs and Testing: The Case of Independent Locks
Authors : Li Liu, Isaac M. Sonin
Published in: Modern Trends in Controlled Stochastic Processes:
Publisher: Springer International Publishing
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Abstract
We present a Defense/Attack resource allocation model, where Defender has some number of “locks” to protect n vulnerable boxes (sites), and Attacker is trying to destroy these boxes, having m “bombs,” which can be placed into boxes. Similar models were studied in game theory - (Colonel) Blotto games, but our model has a feature absent in previous literature. Attackers test the vulnerability of all sites before allocating their resources, and these tests are not perfect, i.e., a test can give plus for a box without a lock and minus for a box with a lock. We describe the optimal strategies for a version of this Locks-Bombs-Testing (LBT) model when locks appear independently in each box with the same probability.