Question C3. Two flatmates, Amy and Ben, decide each week whether to clean their flat or not. Their payoffs are described below: Ben Clean Don't Clean Clean (30,30) (5,35) Amy Don't Clean (35,5) (6,10)

Microeconomics: Principles & Policy
14th Edition
ISBN:9781337794992
Author:William J. Baumol, Alan S. Blinder, John L. Solow
Publisher:William J. Baumol, Alan S. Blinder, John L. Solow
Chapter13: Between Competition And Monopoly
Section: Chapter Questions
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Question C3. Two flatmates, Amy and Ben, decide each week whether to clean their flat or not. Their
payoffs are described below:
Ben
Clean
Don't Clean
Clean
(30,30)
(5,35)
Amy
Don't Clean
(35,5)
(6,10)
a) Define what the tit-for-tat strategy is in the context of the game outlined above.
b) Suppose that the flatmates make their decision in order to maximise their discounted utility
with a discount factor of 8. Compute the present value for each player when they follow the
tit-for-tat strategy and when that player chooses their best alternative strategy.
c) For what values of & can the tit-for-tat strategy support an outcome where both flatmates
clean every week?
Transcribed Image Text:Question C3. Two flatmates, Amy and Ben, decide each week whether to clean their flat or not. Their payoffs are described below: Ben Clean Don't Clean Clean (30,30) (5,35) Amy Don't Clean (35,5) (6,10) a) Define what the tit-for-tat strategy is in the context of the game outlined above. b) Suppose that the flatmates make their decision in order to maximise their discounted utility with a discount factor of 8. Compute the present value for each player when they follow the tit-for-tat strategy and when that player chooses their best alternative strategy. c) For what values of & can the tit-for-tat strategy support an outcome where both flatmates clean every week?
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