0506final

0506final - THE CHINESE UNIVERSITY OF HONG KONG Department...

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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 Pareto-optimal for the following 2-person non-zero-sum 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 2-person zero-sum 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.

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0506final - THE CHINESE UNIVERSITY OF HONG KONG Department...

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