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?

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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Chapter18: Auctions
Section: Chapter Questions
Problem 18.1IP
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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?
Transcribed Image Text: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?
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