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(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.)

ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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(ii) A mixed strategy profile (p, q) is one in which p = (p,P2.... P) is the mixed strategy of player 1, and q- (g1, 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.) %3D
Transcribed Image Text:(ii) A mixed strategy profile (p, q) is one in which p = (p,P2.... P) is the mixed strategy of player 1, and q- (g1, 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.) %3D
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