Mathematics 2 Deneme Sınavı Sorusu #477253

Given the matrix game

which of the following is the equilibrium pair?


(1st row, 2nd column)

(2nd row, 1st column)

(2nd row, 2nd column)

(2nd row, 3rd column)

(3rd row, 3rd column)


Yanıt Açıklaması:

If in the game matrix, there exists an element which is smallest in its row and greatest in its column then this row-column pair is an equilibrium pair. For each row write the lowest element to the right, and for each column write the greatest element below the matrix:

Now, observe that max {-1, 0, 2} = 2 and min {2, 3, 4} = 2. Therefore, (2nd row, 3rd column) is an equilibrium pair. The correct answer is D.

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