0506final

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

This preview shows pages 1–3. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

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....
View Full Document

## This note was uploaded on 04/19/2011 for the course MATH 253 taught by Professor Wong during the Spring '11 term at CUHK.

### Page1 / 4

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

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online