If both attacker and defender are trying to maximize and minimize (respectively) the expected cost of an attack, what strategies are they going to end up following?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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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 pi of selecting site i. The choice of {qi} and {p;} 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 pi of selecting site i. The choice of {qi} and {p;} represent the attacker's and defender's strategy, respectively.
If both attacker and defender are trying to maximize and minimize (respectively) the expected cost of an attack,
what strategies are they going to end up following?
Transcribed Image Text:If both attacker and defender are trying to maximize and minimize (respectively) the expected cost of an attack, what strategies are they going to end up following?
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