Consider an economy with a private good and public good. The economy consists of two consumers whose utility functions are: u₁(x, y) = — ln x¸ + —⁄lny and u₂(x,y) = ln x₂ + ln y 1 The endowment of consumer 1 is w₁ = 2, and endowment of consumer 2 is w₂ = 3, both in units of private goods. The production of public good uses the linear Technology y = z. Lindahl equilibrium sets different price p, of public good for each consumer. Suppose price for private good is 1 to solve. Find x and y for consumer 1, and
Consider an economy with a private good and public good. The economy consists of two consumers whose utility functions are: u₁(x, y) = — ln x¸ + —⁄lny and u₂(x,y) = ln x₂ + ln y 1 The endowment of consumer 1 is w₁ = 2, and endowment of consumer 2 is w₂ = 3, both in units of private goods. The production of public good uses the linear Technology y = z. Lindahl equilibrium sets different price p, of public good for each consumer. Suppose price for private good is 1 to solve. Find x and y for consumer 1, and
Chapter1: Making Economics Decisions
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Transcribed Image Text:Consider an economy with a private good and public good. The economy
consists of two consumers whose utility functions are:
u₁(x, y) = — ln x₁ + 1⁄lny and u₂(x, y) = ln x₂ + y
/
The endowment of consumer 1 is w = 2, and endowment of consumer 2 is
1
W₂ 3, both in units of private goods. The production of public good uses the
linear Technology y = z.
=
Lindahl equilibrium sets different price p, of public good for each consumer.
Suppose price for private good is 1 to solve. Find x and y* for consumer 1, and
x and y* for consumer 2, then find the Lindahl equilibrium.
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