(a) By constructing best response functions, find all pure and mixed strategy Nash equi- libria for the following 2 x 2 game. Ann 4\ Bill -→ C1 C2 R1 7,2 3,1 R2 4,2 6,8 (b) Verify that the mixed strategy (,,0) for Ann, and (,0, ) for Bill form a Nash equilibrium in the game Ann 4\ Bill → C1 C2 C3 R1 3,3 9,4 8,6 R2 5,6 1,3 6,4 R3 4,7 7,2 4,5 State clearly any results you use as part of your reasoning.

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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8
5.
(a) By constructing best response functions, find all pure and mixed strategy Nash equi-
libria for the following 2 x 2 game.
Ann \ Bill C1
C2
R1
7,2 3,1
R2
4,2 6,8
(b) Verify that the mixed strategy (,,0) for Ann, and (,0,) for Bill form a Nash
equilibrium in the game
Ann 4Bill-
C1
C2 C3
R1
3,3 9,4 8,6
R2
5,6 1,3 6,4
R3
4,7 7,2 4,5
State clearly any results you use as part of your reasoning.
-000-
Transcribed Image Text:5. (a) By constructing best response functions, find all pure and mixed strategy Nash equi- libria for the following 2 x 2 game. Ann \ Bill C1 C2 R1 7,2 3,1 R2 4,2 6,8 (b) Verify that the mixed strategy (,,0) for Ann, and (,0,) for Bill form a Nash equilibrium in the game Ann 4Bill- C1 C2 C3 R1 3,3 9,4 8,6 R2 5,6 1,3 6,4 R3 4,7 7,2 4,5 State clearly any results you use as part of your reasoning. -000-
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