Exam1-p - AMS 335/ECO 355 Game Theory Midterm Exam 1 -...

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AMS 335/ECO 355 Game Theory Fall 2010 M i d t e r m E x a m 1 - P r a c t i c e Z h e n X u Page 1 of 4 Find Nash equilibrium of the following games, including both pure strategy NE and mixed strategy NE. Write “none” if there is no such NE. (10 points each) Question 1 Ted Stay Swerve Bill Stay -3,-3 2,0 Swerve 0,2 1,1 Pure strategy NE Mixed strategy NE Question 2 Player 2 Left Middle Right Player 1 Top 1,0 1,2 2,-1 Center 1,1 1,0 0,-1 Bottom -3,-3 -3,-3 -3,-3 Pure strategy NE Mixed strategy NE Question 3 Player 2 Left Middle Right Player 1 Top 3,3 0,3 0,0 Center 3,0 2,2 0,2
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Fall 2010 M i d t e r m E x a m 1 - P r a c t i c e Z h e n X u Page 2 of 4 Question 4 Player 2 Left Middle Right Player 1 Up 2, 4 3, 5 0, 4 Down 2, 3 0, 6 4, 0 Pure strategy NE Mixed strategy NE Question 5 Player 2 Head Tail Player 1 Head 40,60 55,45 Tail 45,55 60,40 Pure strategy NE Mixed
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Exam1-p - AMS 335/ECO 355 Game Theory Midterm Exam 1 -...

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