Abstract:In adversarial patrolling games, a mobile Defender strives to discover intrusions at vulnerable targets initiated by an Attacker. The Attacker's utility is traditionally defined as the probability of completing an attack, possibly weighted by target costs. However, in many real-world scenarios, the actual damage caused by the Attacker depends on the time elapsed since the attack's initiation to its detection. We introduce a formal model for such scenarios, and we show that the Defender always has an optimal st… Show more
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