In a two-person, zero-sum, pure-strategy game, there is no advantage to either player to switch from its strategy even if one of the players discovers the other player's strategy in advance.

Question

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In a zero-sum game, the gains of one player are exactly offset by the losses of the other player. Therefore, there is no advantage to either player to switch from its strategy even if one of the players discovers the other player's strategy in advance.

In a Two-Person, Zero-Sum, Pure-Strategy Game, There Is No Advantage