An example of Walras law Suppose there are only three goods 1x1, x2, x32 in an economy

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An example of Walras’ law Suppose there are only three goods 1x1, x2, x32 in an economy and that the excess demand functions for x2 and x3 are given by ED2 5 2 3p2 p1 1

2p3 p1 2 1, ED3 5 2 4p2 p1 2 2p3 p1 2 2.

a. Show that these functions are homogeneous of degree 0 in p1, p2, and p3.

b. Use Walras’ law to show that, if ED2 5 ED3 5 0, then ED1 must also be 0. Can you also use Walras’ law to calculate ED1?

c. Solve this system of equations for the equilibrium relative prices p2/p1 and p3/p1. What is the equilibrium value for p3/p2?

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Microeconomic Theory Basic Principles And Extensions

ISBN: 9781305505797

12th Edition

Authors: Walter Nicholson, Christopher M. Snyder

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