1. We have a population of 3, they have the following benefit curves (TB): TB¹ = 3q - 2q² TB² = 2q - 5q² TB³ = 5q-q² And the Total Cost of the public good is: 5q² Derive the Samuelson condition for this society. What is Person 3's individual preference and what is the societal optimal given the Samuelson rule, can you explain why one is greater than/less than the other?

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter11: Public Goods And Common Resources
Section: Chapter Questions
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1. We have a population of 3, they have the following benefit curves
(TB):
TB¹ = 3q - 2q²
TB² = 2q - 5q²
TB³
5q - q²
And the Total Cost of the public good is:
5q²
Derive the Samuelson condition for this society.
What is Person 3's individual preference and what is the societal
optimal given the Samuelson rule, can you explain why one is greater
than/less than the other?
-
Transcribed Image Text:1. We have a population of 3, they have the following benefit curves (TB): TB¹ = 3q - 2q² TB² = 2q - 5q² TB³ 5q - q² And the Total Cost of the public good is: 5q² Derive the Samuelson condition for this society. What is Person 3's individual preference and what is the societal optimal given the Samuelson rule, can you explain why one is greater than/less than the other? -
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