For the following simultaneous move game, we want to find a mixed strategy Nash equilibrium. ROWENA Safe Risky Safe 4*q + 4*(1-q) = 1 4,4 1,4 COLIN Risky 4,1 6,6 We denote Colin's mixture probability on Safe by q.. To find q in Colin's mixed strategy Nash equilibrium, we apply indifference property to player Rowena 's expected payoffs from pure strategies in mixture: *q + 6 *(1-q)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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For the following simultaneous move game, we want to find a mixed strategy Nash
equilibrium.
ROWENA
Safe
4*q + 4*(1-q) =
Risky
Safe
1
4,4
1,4
COLIN
Risky
4,1
We denote Colin's mixture probability on Safe by q..
To find q in Colin's mixed strategy Nash equilibrium, we apply indifference property
to player Rowena
's expected payoffs from pure strategies in mixture:
6,6
+q+6
*(1-q)
Transcribed Image Text:For the following simultaneous move game, we want to find a mixed strategy Nash equilibrium. ROWENA Safe 4*q + 4*(1-q) = Risky Safe 1 4,4 1,4 COLIN Risky 4,1 We denote Colin's mixture probability on Safe by q.. To find q in Colin's mixed strategy Nash equilibrium, we apply indifference property to player Rowena 's expected payoffs from pure strategies in mixture: 6,6 +q+6 *(1-q)
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