There are three individuals in a community: 1,2 and 3. Their valuations of the public good, G, are MB1=40-2G , MB2=20-G and MB3=10-G/2 . Let MCG=ACG= 12 a )Suppose the individuals must vote to determine the level of G, assuming that person 3 pays all of the cost. What will G be, according to the median voter theorem? Show your work  b). Quantify the magnitude of the inefficiency caused by voting in part (a) That is, calculate the net loss of total social surplus that occurs because of the G you found in (a)

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
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Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.7P
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There are three individuals in a community: 1,2 and 3. Their valuations of the public good, G, are MB1=40-2G , MB2=20-G and MB3=10-G/2 . Let MCG=ACG= 12

a )Suppose the individuals must vote to determine the level of G, assuming that person 3 pays all of the cost. What will G be, according to the median voter theorem? Show your work

 b). Quantify the magnitude of the inefficiency caused by voting in part (a) That is, calculate the net loss of total social surplus that occurs because of the G you found in (a)

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