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 qi. You plan on selecting a site to protect, with probability pi of selecting site i. If you select the same site to protect that the attacker chooses to attack, you successfully defend that site. The choice of {4;} and {p;} represent the attacker's and defender's strategy, respectively. 1) What is the probability that you successfully prevent the attack, given strategies {4;}, {p:}?? 2) If you knew {q1,...,qN} in advance, how should you choose {p:} to maximize the probability you successfully prevent an attack? 3) If you are the attacker, and you know that the defender is going to choose the best strategy they can to maximize the probability of preventing an attack, how should you choose your strategy to maximize the probability of a successful attack? { 4) Questions 2.1, 2.2, 2.3 address the probability of a successful defense from the perspective of the attacker
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 qi. You plan on selecting a site to protect, with probability pi of selecting site i. If you select the same site to protect that the attacker chooses to attack, you successfully defend that site. The choice of {4;} and {p;} represent the attacker's and defender's strategy, respectively. 1) What is the probability that you successfully prevent the attack, given strategies {4;}, {p:}?? 2) If you knew {q1,...,qN} in advance, how should you choose {p:} to maximize the probability you successfully prevent an attack? 3) If you are the attacker, and you know that the defender is going to choose the best strategy they can to maximize the probability of preventing an attack, how should you choose your strategy to maximize the probability of a successful attack? { 4) Questions 2.1, 2.2, 2.3 address the probability of a successful defense from the perspective of the attacker
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.3P
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