Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
Two neighboring homeowners, i = 1,2, simultaneously choose how many hours to spend maintaining a lawn. The AVERAGE benefit per hour for i is
(e.g., it is for homeowner 1)
And the (opportunity) cost per hour for each homeowner is 4.
(a) Give each homeowner’s (net) payoff as a function of and .
(b) Compute the Nash equilibrium.
![Two neighboring homeowners, \( j = 1, 2 \), simultaneously choose how many hours \( I_j \) to spend maintaining a lawn. The AVERAGE benefit per hour for \( j \) is
\[ 10 - I_j + \frac{I_{\bar{j}}}{2} \]
(e.g., it is \( 10 - I_1 + \frac{I_2}{2} \) for homeowner 1)
And the (opportunity) cost per hour for each homeowner is 4.
(a) Give each homeowner's (net) payoff as a function of \( I_1 \) and \( I_2 \).
(b) Compute the Nash equilibrium.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9f2f1d5-505b-4ade-b0f8-1616ac0c8b38%2F8847835d-5e6a-4fd1-b40b-2d449ff39809%2Fdqfz9ql_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Two neighboring homeowners, \( j = 1, 2 \), simultaneously choose how many hours \( I_j \) to spend maintaining a lawn. The AVERAGE benefit per hour for \( j \) is
\[ 10 - I_j + \frac{I_{\bar{j}}}{2} \]
(e.g., it is \( 10 - I_1 + \frac{I_2}{2} \) for homeowner 1)
And the (opportunity) cost per hour for each homeowner is 4.
(a) Give each homeowner's (net) payoff as a function of \( I_1 \) and \( I_2 \).
(b) Compute the Nash equilibrium.
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