1. Does every strictly determined matrix game have a recessive row or column? Explain. 2. Does every

1. Does every strictly determined matrix game have a recessive row or column? Explain.

2. Does every strictly determined matrix game have a recessive row or column? Explain.

3. Consider the following finger game between Ron (rows) and Cathy (columns): Each points either 1 or 2 fingers at the other. If they match, Ron pays Cathy $2. If Ron points 1 finger and Cathy points 2, Cathy pays Ron $3. If Ron points 2 fingers and Cathy points 1, Cathy pays Ron $1.

(A) Set up a payoff matrix for this game. (B) Find the optimal strategies for Ron and for Cathy.