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Explain why the value of a matrix game is positive if all of the payoffs are pos

ID: 3167964 • Letter: E

Question

Explain why the value of a matrix game is positive if all of the payoffs are positive Choose the correct answer below. 0 A. If the matrix game is strictly determined and all of the payoffs are positive, the saddle value will be negative. Thus, the value, v, is positive. If the matrix game is O B. If the matrix game is strictly determined and all of the payoffs are positive, D (a+d) - (b+c) will be negative and ad - bc will be negative. Therefore, the nonstrictly determined, D = (a + d)-(b + c) will be positive and ad-bc will be positive. Therefore, the value, V, will be positive. value, v, will be positive. If the matrix game is nonstrictly determined, and all of the payoffs are positive, the saddle value will also be positive. Thus, the value, v, is positive If the matrix game is strictly determined and all of the payoffs are positive, D-a +d- b +c) will be positive and ad-bc wil be positive. Therefore, the value, v, will be positive. If the matrix game is nonstrictly determined, and all of the payoffs are negative, the saddle value will be positive. Thus, the value, v, is positive. If the matrix game is strictly determined and all of the payoffs are positive, the saddle value will also be positive. Thus, the value, v, is positive. if the matrix game is nonstrictly determined, D-(a+d)-(+ c) will be negative and ad-bc will be negative. Therefore, the value, v, will be positive. C. D.

Explanation / Answer

(a) If the matrix game is strictly determined and all of the payoffs are positive, the saddle will be negative. thus the value v is positive. If the matrix game is nonstrictly determined, D=(a+d)-(b+c) will be positive and ad-bc will be positive. Therefore, the value, V will be positive.

This is the correct option .

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