Consider that P1 may be either of type H or of type L. If his type is H the players' payoffs for any action profile are given by the matrix above. If his type is L they are given by the matrix below. \table[[\table[[L P2 C R L L 3,0 1,2 2,1 P1 C 2,1 3,0 2,1 R 2,1 1,2 3,0 Consider that P1 may be either of type H or of type L. If his type is H the players' payoffs for any action profile are given by the matrix above. If his type is L they are given by the matrix below. P2 с L 3/2,3/2 1,2 L P1 C 2,1 3/2,3/2 R 3/2,3/2 1,2 #R 3/2,3/2 2,1 3/2,3/2 The type of P1 is known only to him. P2 believes that P1 is L with probability 99/100 and of type h with probability 1/100. Find the Bayes Nash Equilibrium of the game.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Consider that P1 may be either of type H
or of type L. If his type is H the players'
payoffs for any action profile are given by
the matrix above. If his type is L they are
given by the matrix below. \table[[\table[[L
P2
C R
L
L 3,0 1,2 2,1
P1 C 2,1 3,0 2,1
R 2,1 1,2 3,0
Consider that P1 may be either of type H or of type L. If his type is H the players'
payoffs for any action profile are given by the matrix above. If his type is L they
are given by the matrix below.
P2
с
L
3/2,3/2 1,2
L
P1 C 2,1
3/2,3/2
R 3/2,3/2 1,2
#R
3/2,3/2
2,1
3/2,3/2
The type of P1 is known only to him. P2 believes that P1 is L with probability 99/100 and
of type h with probability 1/100. Find the Bayes Nash Equilibrium of the game.
Transcribed Image Text:Consider that P1 may be either of type H or of type L. If his type is H the players' payoffs for any action profile are given by the matrix above. If his type is L they are given by the matrix below. \table[[\table[[L P2 C R L L 3,0 1,2 2,1 P1 C 2,1 3,0 2,1 R 2,1 1,2 3,0 Consider that P1 may be either of type H or of type L. If his type is H the players' payoffs for any action profile are given by the matrix above. If his type is L they are given by the matrix below. P2 с L 3/2,3/2 1,2 L P1 C 2,1 3/2,3/2 R 3/2,3/2 1,2 #R 3/2,3/2 2,1 3/2,3/2 The type of P1 is known only to him. P2 believes that P1 is L with probability 99/100 and of type h with probability 1/100. Find the Bayes Nash Equilibrium of the game.
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