a) State the condition for the Pareto optimal provision of a public good. Interpret the condition. b) Consider agent A with (inverse) demand curve for the public good PA = 60 - 2QA and agent B with inverse demand PB = 90 – 5QB, where prices are measured in £ per unit. The marginal cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public good? Explain. Illustrate in a graph. [Hint: Compute the marginal social benefit of the public good by adding up the demand curves vertically, over the p's] c) Describe the Vickrey-Clarke-Groves (VCG) Mechanism, provide examples and discuss problems with the VCG mechanism.
a) State the condition for the Pareto optimal provision of a public good. Interpret the condition. b) Consider agent A with (inverse) demand curve for the public good PA = 60 - 2QA and agent B with inverse demand PB = 90 – 5QB, where prices are measured in £ per unit. The marginal cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public good? Explain. Illustrate in a graph. [Hint: Compute the marginal social benefit of the public good by adding up the demand curves vertically, over the p's] c) Describe the Vickrey-Clarke-Groves (VCG) Mechanism, provide examples and discuss problems with the VCG mechanism.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![a) State the condition for the Pareto optimal provision of a public good. Interpret the condition.
B
b) Consider agent A with (inverse) demand curve for the public good P₁ = 60 - 2Q and agent
B with inverse demand PR = 90 - 5QB, where prices are measured in £ per unit. The marginal
cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public
good? Explain. Illustrate in a graph. [Hint: Compute the marginal social benefit of the public
good by adding up the demand curves vertically, over the p's]
c) Describe the Vickrey-Clarke-Groves (VCG) Mechanism, provide examples and discuss
problems with the VCG mechanism.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86fb8047-fbc3-4613-9f80-e2853721dd84%2Fd3033ea0-8733-477d-981e-240c00a9944a%2F4055rj_processed.png&w=3840&q=75)
Transcribed Image Text:a) State the condition for the Pareto optimal provision of a public good. Interpret the condition.
B
b) Consider agent A with (inverse) demand curve for the public good P₁ = 60 - 2Q and agent
B with inverse demand PR = 90 - 5QB, where prices are measured in £ per unit. The marginal
cost of producing the public good is £10 per unit. What is the Pareto efficient level of the public
good? Explain. Illustrate in a graph. [Hint: Compute the marginal social benefit of the public
good by adding up the demand curves vertically, over the p's]
c) Describe the Vickrey-Clarke-Groves (VCG) Mechanism, provide examples and discuss
problems with the VCG mechanism.
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