The citizens of Blingaling buy bling in a competitive market. Bling is sold by competitive firms with a marginal cost of y dollars/unit. The N citizens in the market are arranged in a circular social network, with each consumer connected only to her two neighbors, one to the left and one to the right. Let x¿ denote the consumption of bling by consumer i, xLdenote the consumption of her neighbor to the left, and xR denote the consumption of the neighbor to the right. Each consumer preferences

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Chapter1: Making Economics Decisions
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help me with b, c, d, e, please. thank you

The citizens of Blingaling buy bling in a competitive market. Bling is sold
by competitive firms with a marginal cost of y dollars/unit.
The N citizens in the market are arranged in a circular social network,
with each consumer connected only to her two neighbors, one to the left
and one to the right. Let x; denote the consumption of bling by consumer
i, xLdenote the consumption of her neighbor to the left,
and Ꮖ Ꭱ
denote
the consumption of the neighbor to the right. Each consumer preferences
are given by
U (x, xL, xR, m) = Aln(x) + B(In(xL) + In(xR)) + m.
What is the optimum level of bling consumption by each con-
sumer at the Pareto optimal allocation?
b
What is the amount of individual bling consumption generated
by the market equilibrium in the absence of any government intervention?
C
What is the marginal private benefit of consuming bling?
What is the marginal social benefit of consuming bling?
What is the formula for the optimal Pigouvian subsidy that
restores efficiency in the market?
Transcribed Image Text:The citizens of Blingaling buy bling in a competitive market. Bling is sold by competitive firms with a marginal cost of y dollars/unit. The N citizens in the market are arranged in a circular social network, with each consumer connected only to her two neighbors, one to the left and one to the right. Let x; denote the consumption of bling by consumer i, xLdenote the consumption of her neighbor to the left, and Ꮖ Ꭱ denote the consumption of the neighbor to the right. Each consumer preferences are given by U (x, xL, xR, m) = Aln(x) + B(In(xL) + In(xR)) + m. What is the optimum level of bling consumption by each con- sumer at the Pareto optimal allocation? b What is the amount of individual bling consumption generated by the market equilibrium in the absence of any government intervention? C What is the marginal private benefit of consuming bling? What is the marginal social benefit of consuming bling? What is the formula for the optimal Pigouvian subsidy that restores efficiency in the market?
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