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Answer to Question #37193 in Math for nate ruiz
Question #37193
Matrix Games:
If we are given an arbitrary I by J matrix A, there exists a greater than 0 so that the matrix B with entries Bij = Aij + a has only positive entries. Show that any optimal randomized probability vectors for the game with pay-off matrix B are also optimal for the game with pay-off matrix A.
If we are given an arbitrary I by J matrix A, there exists a greater than 0 so that the matrix B with entries Bij = Aij + a has only positive entries. Show that any optimal randomized probability vectors for the game with pay-off matrix B are also optimal for the game with pay-off matrix A.
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