(ii) A mixed strategy profile (p, q) is one in which p = (p1 P2.……… P) is the mixed strategy of player 1, and q- (q1, q2,..q4) is the mixed strategy of player 2. Show that if p; > 0 in a Nash equilibrium profile (p*, q*), the- player 2 must also play i with strictly positive probability q'; >0. (State clearly any theorem you use to show this. You are not required to justify the theorem.)

(ii) A mixed strategy profile (p, q) is one in which p = (p1 P2.……… P) is the mixed strategy of player 1, and q- (q1, q2,..q4) is the mixed strategy of player 2. Show that if p; > 0 in a Nash equilibrium profile (p, q), the- player 2 must also play i with strictly positive probability q'; >0. (State clearly any theorem you use to show this. You are not required to justify the theorem.)

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter8: Game Theory

Section: Chapter Questions

Problem 8.7P

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