In the analysis of the optimal level of a public good, suppose that each person's utility function is quasilinear: Ui(G) + Pi. Show that the optimal G is unique and independent of P1 and P2 if society has adequate resources. (Hint: See Solved Problem 17.3.)

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.

According to marginal analysis, in a market that experiences a positive externality, the market (private) players would ________________________ to the socially optimal output level. A. over-produce an output level relative B. under-produce an output level relative C. exactly produce an output level equal

Compared to ideal economic efficiency, when the production of a good generates external benefits, competitive markets will likely result in an output that is too A) large and a price that is too high. B) large and a price that is too low. C) small and a price that is too high. D) small and a price that is too low.