Question 1 Bob. Ann north Consider the following sequential-move game between Ann and Вов south visky ир down Ann (2,6) Nature left 50% (2,5) cold hot right 50% (5,6) (3,10) (3,4) (4,7) External uncertainty is handled by an outside player called "Nature". Nature chooses "Left" with probability 50%, "Right" with probability 50%. A. Use backward induction to find the rollback equilibrium. B. What are the rollback equilibrium payoffs? C. How many strategies does each player have? For each player, list all his/her strategies.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
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Question 1
Bob.
Ann
north
Consider the following sequential-move game between Ann and
Вов
south
visky
up
down
(2,6)
Ann
Nature left 5
(2,5)
cold
hot
left 50%
→ (3,10)
right 50%
• (5,6)
(3,4)
(4,7)
External uncertainty is handled by an outside player called "Nature". Nature chooses "Left"
with probability 50%, "Right" with probability 50%.
A. Use backward induction to find the rollback equilibrium.
B. What are the rollback equilibrium payoffs?
C. How many strategies does each player have? For each player, list all his/her strategies.
Transcribed Image Text:Question 1 Bob. Ann north Consider the following sequential-move game between Ann and Вов south visky up down (2,6) Ann Nature left 5 (2,5) cold hot left 50% → (3,10) right 50% • (5,6) (3,4) (4,7) External uncertainty is handled by an outside player called "Nature". Nature chooses "Left" with probability 50%, "Right" with probability 50%. A. Use backward induction to find the rollback equilibrium. B. What are the rollback equilibrium payoffs? C. How many strategies does each player have? For each player, list all his/her strategies.
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