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Problem 4. Consider a zero-sum matrix game A. Prove that the mixed-strategy Nash equi- librium exists if and only if Vm(A) = m(A) (4) Hint:

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Problem 4. Consider a zero-sum matrix game A. Prove that the mixed-strategy Nash equi- librium exists if and only if Vm(A) = m(A) (4) Hint: similar to the prove for pure strategy case

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