1Y You have to decide whether to invest $100 in a friend's enterprise, where in a year's time the money will increase to $150. You have agreed that your friend will split the profits evenly each year with you. Your alternative is to keep at the bank at an interest rate of r. Suppose this game is played repeatedly infinitely often. The rate of interest between any two successive periods is r, the same as that in the bank and the same for you and your friend. What is the cut-off interest rate which will make cooperation possible? KI02

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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1Y You have to decide whether to invest $100 in a friend's enterprise, where in a year's time the
money will increase to $150. You have agreed that your friend will split the profits evenly each year
with you. Your alternative is to keep at the bank at an interest rate of r. Suppose this game is played
repeatedly infinitely often. The rate of interest between any two successive periods is r, the same as
that in the bank and the same for you and your friend. What is the cut-off interest rate which will
make cooperation possible?
Transcribed Image Text:1Y You have to decide whether to invest $100 in a friend's enterprise, where in a year's time the money will increase to $150. You have agreed that your friend will split the profits evenly each year with you. Your alternative is to keep at the bank at an interest rate of r. Suppose this game is played repeatedly infinitely often. The rate of interest between any two successive periods is r, the same as that in the bank and the same for you and your friend. What is the cut-off interest rate which will make cooperation possible?
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