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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, a you must pick one to protect. Suppose that the attacker is going to attack site i with probability q;. You plan selecting a site to protect, with probability pi of selecting site i. The choice of {qi} and {p:} represent the attacke and defender's strategy, respectively.

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

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Suppose that a successful attack on site i gives a reward of Rị to the attacker, at cost C; to the defender. If the attacker wants to marimize their expected reward, and the defender wants to minimize their expected cost, what strategies should they follow, and why?
Transcribed Image Text:Suppose that a successful attack on site i gives a reward of Rị to the attacker, at cost C; to the defender. If the attacker wants to marimize their expected reward, and the defender wants to minimize their expected cost, what strategies should they follow, and why?
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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