There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability q;. You plan on selecting a site to protect, with probability p; of selecting site i. The choice of {q;i} and {pi} represent the attacker's and defender's strategy, respectively.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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If you knew {q1,..., qN} in advance, how should you choose {pi} to maximize the probability you successfully
prevent an attack?
Transcribed Image Text:If you knew {q1,..., qN} in advance, how should you choose {pi} to maximize the probability you successfully prevent an attack?
There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and
you must pick one to protect. Suppose that the attacker is going to attack site i with probability q;. You plan on
selecting a site to protect, with probability p; of selecting site i. The choice of {q;i} and {pi} represent the attacker's
and defender's strategy, respectively.
Transcribed Image Text:There are N sites that need protection (number them 1 to N). Someone is going to pick one of them to attack, and you must pick one to protect. Suppose that the attacker is going to attack site i with probability q;. You plan on selecting a site to protect, with probability p; of selecting site i. The choice of {q;i} and {pi} represent the attacker's and defender's strategy, respectively.
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