Question: U9. Consider a revised version of the game from Exercise S9: PROFESSOR PLUM Revolver Knife Wrench Conservatory 1,3 2. 2 0,6 MRS. PEACOCK Ballroom 3,2

 U9. Consider a revised version of the game from Exercise S9:

U9. Consider a revised version of the game from Exercise S9: PROFESSOR PLUM Revolver Knife Wrench Conservatory 1,3 2. 2 0,6 MRS. PEACOCK Ballroom 3,2 1,4 5,0 (a) Graph the expected payoffs from each of Professor Plum's strategies as a function of Mrs. Peacock's p-mix. (b) Which strategies will Professor Plum use in his equilibrium mixture? Why? (c) What is the mixed-strategy Nash equilibrium of this game? (d) Note that this game is only slightly different from the game in Ex- ercise S9. How are the two games different? Explain why you intui- tively think the equilibrium outcome has changed from Exercise S9. U9. Consider a revised version of the game from Exercise S9: PROFESSOR PLUM Revolver Knife Wrench Conservatory 1,3 2. 2 0,6 MRS. PEACOCK Ballroom 3,2 1,4 5,0 (a) Graph the expected payoffs from each of Professor Plum's strategies as a function of Mrs. Peacock's p-mix. (b) Which strategies will Professor Plum use in his equilibrium mixture? Why? (c) What is the mixed-strategy Nash equilibrium of this game? (d) Note that this game is only slightly different from the game in Ex- ercise S9. How are the two games different? Explain why you intui- tively think the equilibrium outcome has changed from Exercise S9

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