competitive equilibrium

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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a. Suppose a market is introduced for the externality Eveline causes on Victor. Let us denote by px the price of this externality. Suppose "property rights" are assigned such that Victor has the right not to experience the smell of cooked cabbage. The competitive equilibrium price ratios pm and Px are equal to?

b. Derive the market allocation corresponding to the new competitive equilibrium of the economy formed by Eveline and Victor (ce, me) and (cv,mv).

c. Is the new competitive equilibrium Pareto efficient?

Eveline and Victor share a flat in Amsterdam. They both love eating healthy and cook at home
many times. The parents of both of them are farmers and always give them some food to take to
the city. Eveline's parents give her 10kg. cabbages and 8 kg. meat per month, while Victor's
parents give him 10kg. cabbages and12 kg. meat per month
Eveline loves eating cooked cabbage while Victor rather eats it raw in salads, condimented with
olive oil, garlic, lemon and salt. But the biggest difference is that Victor hates the smell produced
during the cooking of cabbage. As a matter of fact, Victor feels truly embarrassed when he brings
friends and Eveline has cooked cabbage; every single time she does, he goes all over the place
opening windows, ventilating the house and spraying room freshener.
Eveline's utility from meat (m) and cabbage (c) is given by
uF (mE, CE) = CE mE.
3/4 1/4
while Victor's utility is u (my, cv; cE) = cmcA.
1/2,-1/4
As the utility function for Victor clearly shows, Eveline's consumption of cabbage clearly
represents a disutility for him. We then say that Eveline's consumption of cabbage causes a
negative externality on Victor. Let us normalize the price of cabbage to pe = 1.
Transcribed Image Text:Eveline and Victor share a flat in Amsterdam. They both love eating healthy and cook at home many times. The parents of both of them are farmers and always give them some food to take to the city. Eveline's parents give her 10kg. cabbages and 8 kg. meat per month, while Victor's parents give him 10kg. cabbages and12 kg. meat per month Eveline loves eating cooked cabbage while Victor rather eats it raw in salads, condimented with olive oil, garlic, lemon and salt. But the biggest difference is that Victor hates the smell produced during the cooking of cabbage. As a matter of fact, Victor feels truly embarrassed when he brings friends and Eveline has cooked cabbage; every single time she does, he goes all over the place opening windows, ventilating the house and spraying room freshener. Eveline's utility from meat (m) and cabbage (c) is given by uF (mE, CE) = CE mE. 3/4 1/4 while Victor's utility is u (my, cv; cE) = cmcA. 1/2,-1/4 As the utility function for Victor clearly shows, Eveline's consumption of cabbage clearly represents a disutility for him. We then say that Eveline's consumption of cabbage causes a negative externality on Victor. Let us normalize the price of cabbage to pe = 1.
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