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Unformatted text preview: University of California, Berkeley Economics 201A Fall 1999 Final Examination Instructions: You have three hours to do this examination. The exam is out of a total of 300 points; allocate your time accordingly. 1. (60 points) Define or state and briefly discuss the importance of each of the following within or for economic theory: (a) the Transversality Theorem (b) Minkowski’s Theorem on the existence of separating hyperplanes (c) the ShapleyFolkman Theorem on Sums of Sets (d) Dierker’s theorem asserting that typically, exchange economies have an odd number of equilibria (e) the DebreuGaleKuhnNikaido Lemma concerning the existence of solutions of equations of the form z ( p ) = 0 (f) the Overlapping Generations Model 2. (60 points) Consider an exchange economy with convex, strongly mono tone, and continuous preferences. Suppose x is a Pareto optimal allo cation. Let B i = { y i − x i : y i i x i } Show that there exists p > 0 (i.e. p ` ≥ 0 for each ` and p 6 = 0) such that inf...
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This note was uploaded on 08/01/2008 for the course ECON 201B taught by Professor Anderson during the Spring '06 term at Berkeley.
 Spring '06
 ANDERSON
 Economics

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