Consider a market with aggregate demand given by 1000 - 100p. Suppose that there are 10 competitive firms, each with a cost function given by c(q) = q²/20. Suppose that the government introduces a percentage tax on profists of size s> 0 (i.e., firms have to pay s dollars for each dollar of profits). The revenue raised by the tax is given back to consumers using a lump-sum transfer. Suppose also that the firms are owned by a fraction f of the consumers in the market. Finally, let II denote the equilibrium per-firm profits prior to the intro- duction of the tax. QUESTION: What is the loss in well-being of firm owning consumers (as a group) generated by the introduction of the tax?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.10P: Wonopoly and natural resource prices Suppose that a firm is the sole owner of a stock of a natural...
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• Consider a market with aggregate demand given by 1000 - 100p.
• Suppose that there are 10 competitive firms, each with a cost function
given by c(q) =q²/20.
• Suppose that the government introduces a percentage tax on profists of
size s> 0 (i.e., firms have to pay s dollars for each dollar of profits). The
revenue raised by the tax is given back to consumers using a lump-sum
transfer.
• Suppose also that the firms are owned by a fraction f of the consumers in
the market.
. Finally, let II denote the equilibrium per-firm profits prior to the intro-
duction of the tax.
• QUESTION: What is the loss in well-being of firm owning consumers (as
a group) generated by the introduction of the tax?
Transcribed Image Text:• Consider a market with aggregate demand given by 1000 - 100p. • Suppose that there are 10 competitive firms, each with a cost function given by c(q) =q²/20. • Suppose that the government introduces a percentage tax on profists of size s> 0 (i.e., firms have to pay s dollars for each dollar of profits). The revenue raised by the tax is given back to consumers using a lump-sum transfer. • Suppose also that the firms are owned by a fraction f of the consumers in the market. . Finally, let II denote the equilibrium per-firm profits prior to the intro- duction of the tax. • QUESTION: What is the loss in well-being of firm owning consumers (as a group) generated by the introduction of the tax?
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