A small community has 20 people, each of whom has a wealth of $12,000. Each individual must choose whether to contribute $300 or $0 to the support of public entertainment for their community. The money value of the benefit that a person gets from this public entertainment is b times the total amount of money contributed by individuals in the community.  Question 3 options:

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.8P
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A small community has 20 people, each of whom has a wealth of $12,000. Each individual must choose whether to contribute $300 or $0 to the support of public entertainment for their community. The money value of the benefit that a person gets from this public entertainment is b times the total amount of money contributed by individuals in the community. 

Question 3 options:

If 20b > 1, everybody is better off if all contribute to the public entertainment fund than if nobody contributes, but if 20b < 1, everybody is better off if nobody contributes than if all contribute 


Everybody is worse off if all contribute than if nobody contributes if b > 1, but if b < 1, everybody is better off if nobody contributes. 


This game has a dominant strategy equilibrium in which nobody contributes anything for public entertainment.


If 20b > 1, there is a dominant strategy equilibrium in which everybody contributes. 


In order for there to be a dominant strategy equilibrium in which all contribute, it must be that b > 20.

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