(a) Given the following pay-off matrix for a 2-person zero-sum game, the second row second column entry will be a saddle point only if:

(i) p ~ 6 and q ~ 6

(ii) p~ 6 and q~ 6

(iii) p~ 6 and q~6

(iv) None of the choices given above

(b) The pay-off matrix for a 2-person zero-sum game is given below:

From the analysis of the structure of the matrix it can be concluded that the optimal strategies for this play would be:
(i) with saddle point.
(ii) player A should assign probabilities (0, 0.75, 0.25) to his strategies and B should assign (0, 0.75, 0.25)
to his.
(iii) player A should assign probabilities (0.40, 0, 0.60) to his strategies and B should assign (0.80, 0, 0.20)
to his.

(iv) A and B should play all the given strategies with equal probabilities. (v) none of the above.

Transcribed Image Text:

2 p 7 b 063 3 6 10 5