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3. Player A and Player B can either play up, middle, or down in a simultaneous move game. The payoff matrix for the game is written below. Predict the outcome by finding all Nash Equilibria. Hint: a Nash equilibria cannot contain dominated strategies. Player B Player A Up Middle Down Up 3,1 0,0 2,0 Middle 0,0 2,3 -1,-1 Down 2,0 -1,-1 0,10 4. Does your answer to Question 3 change if Player A was able to play before Player B?

3. Player A and Player B can either play up, middle, or down in a simultaneous move game. The payoff matrix for the game is written below. Predict the outcome by finding all Nash Equilibria. Hint: a Nash equilibria cannot contain dominated strategies. Player B Player A Up Middle Down Up 3,1 0,0 2,0 Middle 0,0 2,3 -1,-1 Down 2,0 -1,-1 0,10 4. Does your answer to Question 3 change if Player A was able to play before Player B?

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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B: Theory: Game Theory 3. Player A and Player B can either play up, middle, or down in a simultaneous move game. The payoff matrix for the game is written below. Predict the outcome by finding all Nash Equilibria. Hint: a Nash equilibria cannot contain dominated strategies. Player A Up Middle Down Up 3,1 0,0 2,0 Player B Middle 0,0 2,3 -1,-1 Down 2,0 -1,-1 0,10 4. Does your answer to Question 3 change if Player A was able to play before Player B?
Transcribed Image Text:B: Theory: Game Theory 3. Player A and Player B can either play up, middle, or down in a simultaneous move game. The payoff matrix for the game is written below. Predict the outcome by finding all Nash Equilibria. Hint: a Nash equilibria cannot contain dominated strategies. Player A Up Middle Down Up 3,1 0,0 2,0 Player B Middle 0,0 2,3 -1,-1 Down 2,0 -1,-1 0,10 4. Does your answer to Question 3 change if Player A was able to play before Player B?
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