Question

A two-person zero-sum game having the following payoff matrix for player A

  Player B
  I II III IV V
Player A I 2 4 3 8 4
II 5 6 3 7 8
III 6 7 9 8 7
IV 4 2 8 4 3

(i) Check whether saddle point exit or not.

(ii) If saddle point does not exit then determine optimal strategies for both the manufacturers and value of the game.

19 Jan 2026
Answer :
Word Count : 398
We are asked to solve a two-person zero-sum game numerically. Let’s go step by step. The given payoff matrix for Player A is: | | I | II | III | IV | V | | ------- | - | -- | --- | -- | - | | I | 2 | 4 | 3 | 8 | 4 | | II | 5 | 6 | 3 | 7 | 8 | | III | 6 | 7 | 9 | 8
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___ __________ ____ _______ ____ ____ _________ ___ _____ ________ _________ __________.
__________ _______ ______ ______ _______ _________ ____ _______ _______.
__________ ___ ___ _____ _________.
_____ __________ _______ _______ _________.
____ ____ __________ _________ ___ ____.
__________ _________ _________ __________ ___ _______.
________ ________ _______ ____ _______ _______ _____ _______ _________ ___ __________ ______.
___ _________ ____ ____ _____ ________ ________ ______ __________ __________ _________ _________.
_____ ___ _____ ____ ____ ________.
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__________ ________.
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Related Questions

A factory purchases bolts in lots of 800. Acceptance is decided using a single-sampling plan with sample size n = 20 and acceptance number c = 3. Assume that 2% of defective items are considered acceptable quality and 7% defective items are considered unacceptable quality.

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(d) If the probabilities are not associated with the occurrence of different states of nature, then the situation is known as decision making under risk.

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A two-person zero-sum game having the following payoff matrix for player A

  Player B
  I II III IV V
Player A I 2 4 3 8 4
II 5 6 3 7 8
III 6 7 9 8 7
IV 4 2 8 4 3

(i) Check whether saddle point exit or not.

(ii) If saddle point does not exit then determine optimal strategies for both the manufacturers and value of the game.

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