Assignment5_MATH4321_12S

# Assignment5_MATH4321_12S - 5. Suppose , p q are equalizing...

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MATH 4321 Game Theory Spring 2012 Assignment 5 1. Problems II.3.7.3, II.4.7.2, II.5.9.9, II5.9.10(d) 2. Solve the following matrix game using the method of linear programming. 1 3 1 5 3. Given a matrix game suppose p 1 , p 2 are optimal strategies for Player I. Show that tp 1 +(1-t)p 2 is also an optimal strategy for any t such that 0 t 1. 4. For a 2-person 0-sum game, show that the lower value is less than or equal to the upper value.
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Unformatted text preview: 5. Suppose , p q are equalizing strategies of Player I and II respectively. Show that , p q is an equilibrium pair. Mission : 1. For 3-person 0-sum games, is the Safety Principle still applicable? Is there any Minimax Theorem in this case? 2. Can you prove the Duality Theorem in Linear Programming by using the Minimax Theorem in 2-person 0-sum games?...
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## This note was uploaded on 03/13/2012 for the course MATH 4321 taught by Professor Cheng during the Spring '12 term at HKUST.

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