Finger game. Consider the following finger game between Ron (rows) and Cathy (columns): Each points.

Finger game. 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) Use formulas from Section 10.2 to find the optimal
strategies for Ron and for Cathy.