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Unformatted text preview: OR 4350 Game Theory February 21, 2012 Prof. Bland This prelim I practice problem is based on the second part of the lecture template for 2-14 (which we did not get to in the week of 2-14), which was based on the second problem from Recitation Exercise 2. The relevant 4 4 payoff matrices are included at the end of this handout. 1. (a) Consider the 4 4 game from Recitation Exercise 2 problem 2(a) Can player I exploit mixed strategies (as opposed to pure strategies)? Can player II? Explain briefly. (b) Now consider the variation on the 4 4 game from Recitation Exercise 2 problem 2(b). i. Is there any row in the 4 4 payoff matrix that is dominated by another row? Explain briefly. ii. Use the concept of domination to explain why II will never choose to play column 3. Are there any other dominated columns besides 3? iii. Since II has figured out that she should never play column 3, I has probably figured out that she figured it out. So cross out column 3....
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- Spring '08