Assume that the effective security level is now determined by the highest (not the lowest) security measures chosen by airlines. Letting max{s1, . . . , sn} denote the highest of the airlines’ strategies, we find that airline i’s payoff is now                                        50 + 20 x max{s1, . . . , sn} -10 si. Assuming the same strategy sets, find all Nash equilibria.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter18: Asymmetric Information
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Problem 18.8P
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Assume that the effective security level is now determined by the highest (not the lowest) security measures chosen by airlines. Letting max{s1, . . . , sn} denote the highest of the airlines’ strategies, we find that airline i’s payoff is now
                                       50 + 20 x max{s1, . . . , sn} -10 si.
Assuming the same strategy sets, find all Nash equilibria.

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