= 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, MRS = 2D/xD for David and MRS ys/xs for Susan. 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.

Principles of Microeconomics
7th Edition
ISBN:9781305156050
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter22: Frontiers Of Microeconomics
Section: Chapter Questions
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  1. 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 for Mohammed,  for David and  for Susan.  Mohammed and David are both 

 

2y/xD for David and MRS
=
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 Susan. 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.
=
Transcribed Image Text:2y/xD for David and MRS = 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 Susan. 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. =
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