q 1-q L D Р Z 3,1 4,2 1-p S S 1,4 5,0

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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If the players play pure strategies, the game has no Nash equilibrium. But what if they choose their moves randomly? Let each player instead opt for a mixed strategy instead of a pure strategy. The first will play action Z with probability p, and the second will play action L with probability q. At which pair (p, q) are the mixed strategies of the players in equilibrium? At which pair (p, q) does neither player want to change strategy? When are both strategies simultaneously the best response?

q 1-q
L
D
Р
Z
3,1
4,2
1-p S
S 1,4
5,0
Transcribed Image Text:q 1-q L D Р Z 3,1 4,2 1-p S S 1,4 5,0
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