P1 9,3 U D 2 L 30, 40 5, 15 a. Derive the best response of P1 when P2 takes the pure strategy and the best response of P2 w strategy. b. Show all the Pure-Strategy Nash Equilibrium. c. Find the Mixed-strate energy Nash Equilibrium. What is the probability that Pareto efficiency w equilibrium? 0,0 1 8,5 M P2 d. Convert the above game tree to a normal form game. e. Show all Pure Strategy Nash Equilibrium. a. Show the Subgame Perfect Nash Equilibrium. R 20, 10 45, 35 1 G K N 0,0 2 0,0 L M

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.1P
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P1
9,3
U
D
2
a. Derive the best response of P1 when P2 takes the pure strategy and the best response of P2 w
strategy.
b. Show all the Pure-Strategy Nash Equilibrium.
L
30, 40
5, 15
c. Find the Mixed-strate energy Nash Equilibrium. What is the probability that Pareto efficiency w
equilibrium?
F
0,0
1
8,5
P2
M
R
20, 10
45, 35
d. Convert the above game tree to a normal form game.
e. Show all Pure Strategy Nash Equilibrium.
a. Show the Subgame Perfect Nash Equilibrium.
G
K
N
0,0
2
0,0
M
Transcribed Image Text:P1 9,3 U D 2 a. Derive the best response of P1 when P2 takes the pure strategy and the best response of P2 w strategy. b. Show all the Pure-Strategy Nash Equilibrium. L 30, 40 5, 15 c. Find the Mixed-strate energy Nash Equilibrium. What is the probability that Pareto efficiency w equilibrium? F 0,0 1 8,5 P2 M R 20, 10 45, 35 d. Convert the above game tree to a normal form game. e. Show all Pure Strategy Nash Equilibrium. a. Show the Subgame Perfect Nash Equilibrium. G K N 0,0 2 0,0 M
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