Suppose we have 10 neighbors on a street that would like to put in street lights for security. Each street light costs $250, and each neighbor obtains a payoff for each street light installed. Suppose five of the neighbors each have identical value functions, V1(x) = 10x-x^2, and the other five have different but identical value

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section: Chapter Questions
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Suppose we have 10 neighbors on a street
that would like to put in street lights for
security. Each street light costs $250, and
each neighbor obtains a payoff for each
street light installed. Suppose five of the
neighbors each have identical value
functions, V1(x) = 10x-x^2, and the other
five have different but identical value
functions, V2(x) = 20x-x^2. Find the
Lindahl prices and profits for each
neighbor and the number of street lights
installed.
Transcribed Image Text:Suppose we have 10 neighbors on a street that would like to put in street lights for security. Each street light costs $250, and each neighbor obtains a payoff for each street light installed. Suppose five of the neighbors each have identical value functions, V1(x) = 10x-x^2, and the other five have different but identical value functions, V2(x) = 20x-x^2. Find the Lindahl prices and profits for each neighbor and the number of street lights installed.
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