There are two players who simultaneously call out one of the numbers one or two. Player I’s name is James; he wins if the sum of the numbers is odd. Player II’s name is Louis; she wins if the sum of the numbers is even. The amount paid to the winner by the loser is always the sum of the numbers in pesos. Find the table for the payoff function P, and analyze the game to find the value and optimal strategies of the players. Is the game fair?

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