Two neighboring countries, i= 1,2, simultaneously choose how many resources (in hours) to spend in recycling activities, r. The average benefit (m) for every dollar spent on recycling is: (n.) = 10- +²: and the (opportunity) cost per hour for each country is 4. Country i's average benefit is increasing in the resources that neighboring country / spends on his recycling because a clean environment roduces positive external effects on other countries. A. Find each country's best-response function, and compute the Nash Equilibrium (NE). (ri.ri). B Graph the best-response functions and indicate the pure strategy Nash Equilibrium on the graph. C On your previous figure, show how the equilibrium would change if the intercept of one of the countries' average benefit functions fell from 10 to some smaller number.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Two neighboring countries, i = 1,2, simultaneously choose how many resources (in hours) to spend
in recycling activities, n. The average benefit (n) for every dollar spent on recycling is:
7(n.n) = 10 -r +:
and the (opportunity) cost per hour for each country is 4. Country i's average benefit is increasing in
the resources that neighboring country i spends on his recycling because a clean environment
produces positive external effects on other countries.
A. Find each country's best-response function, and compute the Nash Equilibrium (NE), (ri.ri).
B. Graph the best-response functions and indicate the pure strategy Nash Equilibrium on the
graph.
C On your previous figure, show how the equilibrium would change if the intercept of one of
the countries' average benefit functions fell from 10 to some smaller number.
Transcribed Image Text:Two neighboring countries, i = 1,2, simultaneously choose how many resources (in hours) to spend in recycling activities, n. The average benefit (n) for every dollar spent on recycling is: 7(n.n) = 10 -r +: and the (opportunity) cost per hour for each country is 4. Country i's average benefit is increasing in the resources that neighboring country i spends on his recycling because a clean environment produces positive external effects on other countries. A. Find each country's best-response function, and compute the Nash Equilibrium (NE), (ri.ri). B. Graph the best-response functions and indicate the pure strategy Nash Equilibrium on the graph. C On your previous figure, show how the equilibrium would change if the intercept of one of the countries' average benefit functions fell from 10 to some smaller number.
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