D and E

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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D and E
(4) Solving for Nash Equilibria
Consider the following two-player game represented in normal form.
Each player has four possible pure strategies
PLAYER 2
L
M
N
7,2
6,3
2,11
3,4
4,6
A
4,12
5,14
PLAYER 1
6,7
3,7
3,7
7,5
4,6
12,7
C
1,8
D
4,5
9,9
(4a) For each of player 1's pure strategies, find player 2’s best response pure
strategies.
(4b) For each of player 2's pure strategies, find player 1’s best response pure
strategies.
(4c) Find any dominant pure strategies for Player 1 and Player 2.
(4d) Find any strictly dominated pure strategies for Player 1 and Player 2.
(4e) Solve for any pure strategy Nash equilibria.
Transcribed Image Text:(4) Solving for Nash Equilibria Consider the following two-player game represented in normal form. Each player has four possible pure strategies PLAYER 2 L M N 7,2 6,3 2,11 3,4 4,6 A 4,12 5,14 PLAYER 1 6,7 3,7 3,7 7,5 4,6 12,7 C 1,8 D 4,5 9,9 (4a) For each of player 1's pure strategies, find player 2’s best response pure strategies. (4b) For each of player 2's pure strategies, find player 1’s best response pure strategies. (4c) Find any dominant pure strategies for Player 1 and Player 2. (4d) Find any strictly dominated pure strategies for Player 1 and Player 2. (4e) Solve for any pure strategy Nash equilibria.
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