There are / individual consumers. Each consumer i's indirect utility function is given by v,(p, wy)= a, (p) + u. Consider the Bergon-Samuelson social welfare function W(u₁... u) = 1 Blog ₁. where 3, 20 for any i. Assume that the social welfare maximization problem has an interior solution. Find the optimal wealth distribution function w,(p, w).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter4: Utility Maximization And Choice
Section: Chapter Questions
Problem 4.11P
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There are / individual consumers. Each consumer i's indirect utility function is given by v,(p, w.) =
a, (p) + w;. Consider the Bergon-Samuelson social welfare function W(u₁u) = 18 log u₁.
where 3,20 for any i. Assume that the social welfare maximization problem has an interior
solution. Find the optimal wealth distribution function w, (p, w).
Transcribed Image Text:There are / individual consumers. Each consumer i's indirect utility function is given by v,(p, w.) = a, (p) + w;. Consider the Bergon-Samuelson social welfare function W(u₁u) = 18 log u₁. where 3,20 for any i. Assume that the social welfare maximization problem has an interior solution. Find the optimal wealth distribution function w, (p, w).
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