Game Theory

Example: Odd or Even. Players I and II simultaneously call out one of the numbers one or two. Player I’s name is Odd; he wins if the sum of the numbers is odd. Player II’s name is Even; 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 dollars. To put this game in strategic form we must specify X, Y and A. Here we may choose X = {1, 2}, Y = {1, 2}, and A as given in the following table.