= 2yD/xD for David and MRSxy = a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are two goods available, good x, and good y. The marginal rates of substitution (where good x is on the horizontal axis and good y is on the vertical axis) are given by MRSM 2yM/xM for Mohammed, MRSxy ys/xs for Mohammed and David are both consuming twice as much of the good x than good y, while Susan is consuming equal amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy? Are these consumption levels economically efficient? Can these consumption allocations be observed in a perfectly competitive equilibrium in an exchange economy without production? Explain. =

= 2yD/xD for David and MRSxy = a) Consider an economy with 3 agents, Mohammed (M), David (D) and Susan (S). There are two goods available, good x, and good y. The marginal rates of substitution (where good x is on the horizontal axis and good y is on the vertical axis) are given by MRSM 2yM/xM for Mohammed, MRSxy ys/xs for Mohammed and David are both consuming twice as much of the good x than good y, while Susan is consuming equal amounts of x and y. What are the conditions for Pareto efficiency in an exchange economy? Are these consumption levels economically efficient? Can these consumption allocations be observed in a perfectly competitive equilibrium in an exchange economy without production? Explain. =

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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7. An economy consists of two individuals, Lynne and Jonathan, whose utility levels are given by U₁ and U₁, respectively. a. Suppose that the social welfare function is W = U₁ + U₁ True or false: Society is indifferent between giv- ing a dollar to Lynne and a dollar to Jonathan. b. Now suppose that, instead, the social welfare function is W = U₁ + 8U, True or false: Society values Jonathan's hap- piness more than Lynne's. c. Now suppose that, instead, the social welfare function is W = min[U₂, U₁] True or false: In this society, the optimal dis- tribution of income is complete equality.
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Consider a two-agents, two goods economy, in which both agents, A and B, are represented by the following utility function: UA(1, 22) = rr2 UB(y1, Y2) = Y1y% There are w units of each good in the economy. 1. Characterize the set of Pareto optimal allocations and represent it in the Edgeworth box. The 3 units of each goods are initially share as follows: A has w units of good 1 and zero unit of good 2; B has zero unit of good 1 and w units of good 2. 2. Determine the Walrasian equilibrium 3. Represent the economy in the Edgeworth box.
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Consider an exchange economy with two consumers J and K and two goods F and C. Suppose the consumers have preferences with the following MRS of F in terms of C MUP MU 5CJ MRS FC FJ and MU MRSC = CK MUŽ FK where J, K are labels for the consumer, not powers. Suppose the economy has 24 units of good F and 20 units of good C. If consumer J is endowed with 12 units of good F and the consumers are given a Pareto efficient allocation, how many units of good C will consumer ** K** be provided?
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3. Answer the problem and provide solutions.
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Q. It is possible to have a Pareto efficient allocation where everyone is worse off than they are at an allocation that is not Pareto efficient?