Find the optimal strategies for A and 8 in the following game. Also obtain the value of the game

The pay-offs in relation to a1 are equal to or greater than the corresponding pay-offs from a3• Thus, a1 dominates a3• Deleting a3, we get,

Now, we observe that strategy b1 is dominated by b2• Thus, we delete b1• This gives the following matrix:

This problem is now exactly the same as that in Example 15.2.

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a A's Strategy 82 a3 b B's Strategy b 936 b3 8 -7 -6 4 7 -7