Two players (called Odd and Even) simultaneously choose the number of fingers (1 or 2) to put out….

Odds and Evens

Two players (called Odd and Even) simultaneously choose the number of fingers (1 or 2) to put out. If the sum of the fingers put out by both players is odd, then Odd wins $1 from Even. If the sum of the fingers is even, then Even wins $1 from Odd. We consider the row player to be Odd and the column player to be Even. Determine whether this game has a saddle point.