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Question

# Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample. If all payoffs of a matrix game are zero, then the game is fair.

Solution

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If all the payoffs are zero then, irrelevant of strategy chosen by any player, neither Player R or Player C will have a profit or loss because all elements are zero.

Therefore the game is fair as it doesn't favor any player

Hence, the statement is $\text{\textcolor{#4257b2}{True}}$

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