For the following matrix, determine the payoff matrix, determine the optimal strategies for each player,
and decide if there is a saddle point.
Player has three cards: a Black 3, a Black 1, and a Red 2. Player has three cards: a Black 8 and a Red.
They each place one card on the table. If the cards match in color, then receives the minimum of the two numbers. If the cards are different colors, then receives the difference of the two numbers. Note that when wins a round, the value in the payoff matrix should be negative.
Complete the payoff matrix:
Colum Player (C)
Black 8 Red 5
Row Black 3 [ ] [ ]
Player Black 1 [ ] [ ]
(R) Red 2 [ ] [ ]