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Unformatted text preview: THE CHINESE UNIVERSITY OF HONG KONG Department of Mathematics UGB253NB Games and Strategic Thinking Final Examination 09:30am –11:30am, 28 June 2006 • Answer All the questions with your work shown clearly and concisely. • Give adequate explanation and justification for your calculation and observation. 1. (8 marks) Find all the pure Nash equilibria and state whether it is a Paretooptimal for the following 2person nonzerosum game: Colin E F G H Rose A (5,1) (1,3) (4,0) (2,1) B (3,3) (5,6) (2,5) (3,4) C (2,1) (2,4) (4,2) (2,5) D (4,2) (3,5) (3,1) (1,2) 2. (8 marks) Solve the following 2person zerosum game and find its game value: bracketleftbigg 2 5 4 1 3 1 2 4 bracketrightbigg . 3. (8 marks) Find the payoff of Rose and Colin when they use the optimal strategy. Rose Colin Colin Rose Rose Rose Rose A B C D E F G H I J K L M N (2 , 1) (3 , 1) (1 , 4) (2 , 3) ( 2 , 1) ( 1 , 3) (4 , 1) ( 2 , 3) (payoffs to (Rose,Colin)) 1 4. (8 marks) Consider a zero sum game represented by the following game tree.4....
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This note was uploaded on 04/19/2011 for the course MATH 253 taught by Professor Wong during the Spring '11 term at CUHK.
 Spring '11
 wong
 Math

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