In Problem derive the formulas of Theorem 4 for the solution of any 2 2 nonstrictly

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In Problem derive the formulas of Theorem 4 for the solution of any 2 × 2 nonstrictly determined matrix game by rewriting and analyzing

= = apigi + bpiq2 + cp291 + dp292 E(P, Q): (4)

(A) Let p2 = 1 – p1 and q2 = 1 – q1 and simplify (4) to show that

E(P, Q) [Dp (dc)] q + (b d)p + d =

(B) Show that if p1 is chosen so that Dp1 – (d – c) = 0, then

V ad - bc D

regardless of the value of p1.


Data from Theorem 4

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

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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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