Consider the game in strategic form defined by the following payoff functions: U1(t1,t2) = [10 + w]tįt2 - tỉ, U2(tı,t2) = [10 + w]t,t2 - t. %3D Set the parameter w equal to 1 (a) This game has a unique (pure strategy) Nash equilibrium (t¡, t;) in which t¡ = t;. Find the value of t;. (If your answer is a fraction, report it in lowest terms.) (b) To which strategy tą is the strategy ti = 4 a best response? (If your answer is a fraction, report it in lowest terms.)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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Consider the game in strategic form defined by the following payoff functions:
U1(t1,t2) = [10 + w]tįt2 - tỉ,
U2(tı,t2) = [10 + w]t,t2 - t.
%3D
Set the parameter w equal to 1
(a) This game has a unique (pure strategy) Nash equilibrium (t¡, t;) in which t¡ = t;.
Find the value of t;. (If your answer is a fraction, report it in lowest terms.)
(b) To which strategy tą is the strategy ti = 4 a best response? (If your answer is a
fraction, report it in lowest terms.)
Transcribed Image Text:Consider the game in strategic form defined by the following payoff functions: U1(t1,t2) = [10 + w]tįt2 - tỉ, U2(tı,t2) = [10 + w]t,t2 - t. %3D Set the parameter w equal to 1 (a) This game has a unique (pure strategy) Nash equilibrium (t¡, t;) in which t¡ = t;. Find the value of t;. (If your answer is a fraction, report it in lowest terms.) (b) To which strategy tą is the strategy ti = 4 a best response? (If your answer is a fraction, report it in lowest terms.)
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