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Unformatted text preview: University of California, Berkeley Economics 201A Fall 2000 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. Please write your solution to each question in a separate bluebook. 1. (75 points) Define or state and briefly discuss the importance of each of the following within or for economic theory: (a) Brouwers Fixed Point Theorem (b) a theorem on the existence of approximate Walrasian equilibrium, when preferences are nonconvex (c) Index Theorem (d) a theorem concerning the cores of exchange economies with many consumers (e) incomplete markets 2. (75 points) Tom Hanks is the sole owner of a firm with access to the production technology Y = { ( y 1 , y 2 ) : y 1 , y 2 y 1 } Hanks endowment is (1 , 0). Hanks has the CobbDouglas utility func tion u ( x 1 , x 2 ) = x 1 x 2 . There are no other firms or consumers in the economy. Find a Walrasian equilibrium ( p , x , y )....
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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 University of California, Berkeley.
 Spring '06
 ANDERSON
 Economics

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