Let (A) Show that if the row minima belong to the same column, at least one of

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Let

M = LC b d

(A) Show that if the row minima belong to the same column, at least one of them is a saddle value.

(B) Show that if the column maxima belong to the same row, at least one of them is a saddle value.

(C) Show that if (a + d) – (b + c) = 0, then M has a saddle value (that is, M is strictly determined).

(D) Explain why part (C) implies that the denominator D in Theorem 4 will never be 0.


Data from Theorem 4

THEOREM 4 Solution to a 2 x 2 Nonstrictly Determined Matrix Game For the nonstrictly determined game a b d

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Finite Mathematics For Business Economics Life Sciences And Social Sciences

ISBN: 9780134862620

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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