2. Consider the two-person zero-sum game with the following 2x2 pay-off matrix: 1 2 1 a11 a12 2 a21 a22 Show that if the game has no pure strategy and saddle point, player II should play strategy 1 with the following probability; a22-a12 (a1-as2)+(a22-az1) 91

2. Consider the two-person zero-sum game with the following 2x2 pay-off matrix: 1 2 1 a11 a12 2 a21 a22 Show that if the game has no pure strategy and saddle point, player II should play strategy 1 with the following probability; a22-a12 (a1-as2)+(a22-az1) 91

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

2. Consider the two-person zero-sum game with the following 2x2 pay-off matrix:
1 2
1 а11 а12
2 a21 a22
Show that if the game has no pure strategy and saddle point, player II should play
strategy 1 with the following probability;
a22-a12
(a1-a12)+(a22-az1)
91

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