If you were the attacker, and knew that your opponent was trying to minimize the expected cost of your attack, how should you choose {q;} to maximize the expected cost of an attack? (Assume that your strategy is going to leak to your opponent.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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.
If you were the attacker, and knew that your opponent was trying to minimize the expected cost of your attack,
how should you choose {q;} to maximize the expected cost of an attack? (Assume that your strategy is going
to leak to your opponent.)
Transcribed Image Text:If you were the attacker, and knew that your opponent was trying to minimize the expected cost of your attack, how should you choose {q;} to maximize the expected cost of an attack? (Assume that your strategy is going to leak to your opponent.)
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