Two neighboring homeowners, i = 1, 2, simultaneously choose how many hours l, to spend maintaining a beautiful lawn. The average benefit per hour is 10 – 1, + 2' and the (opportunity) cost per hour for each is 4. Home- owner i's average benefit is increasing in the hours neighbor j spends on his own lawn because the appearance of one's property depends in part on the beauty of the surrounding neighborhood. a. Compute the Nash equilibrium. b. Graph the best-response functions and indicate the Nash equilibrium on the graph. c. On the graph, show how the equilibrium would change if the intercept of one of the neighbor's average benefit functions fell from 10 to some smaller number.

Principles of Economics (MindTap Course List)
8th Edition
ISBN:9781305585126
Author:N. Gregory Mankiw
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Chapter22: Frontiers Of Microeconomics
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Two neighboring homeowners, i = 1, 2, simultaneously
choose how many hours l, to spend maintaining a beautiful
lawn. The average benefit per hour is
10 – 1, +
2'
and the (opportunity) cost per hour for each is 4. Home-
owner i's average benefit is increasing in the hours neighbor
j spends on his own lawn because the appearance of one's
property depends in part on the beauty of the surrounding
neighborhood.
a. Compute the Nash equilibrium.
b. Graph the best-response functions and indicate the Nash
equilibrium on the graph.
c. On the graph, show how the equilibrium would change
if the intercept of one of the neighbor's average benefit
functions fell from 10 to some smaller number.
Transcribed Image Text:Two neighboring homeowners, i = 1, 2, simultaneously choose how many hours l, to spend maintaining a beautiful lawn. The average benefit per hour is 10 – 1, + 2' and the (opportunity) cost per hour for each is 4. Home- owner i's average benefit is increasing in the hours neighbor j spends on his own lawn because the appearance of one's property depends in part on the beauty of the surrounding neighborhood. a. Compute the Nash equilibrium. b. Graph the best-response functions and indicate the Nash equilibrium on the graph. c. On the graph, show how the equilibrium would change if the intercept of one of the neighbor's average benefit functions fell from 10 to some smaller number.
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