In problems 23-25 discuss the validity of each statement. Explain why it is true or give a counter example. 23. If a matrix game is fair then all payoffs are zero. 24. If half of the payoffs are positive and half of the payoffs are negative then the game is fair. 25. If a matrix game is fair then some of the payoffs are positive and some of the payoffs are negative. In the following two problems solve the matrix games using a geometric linear programming approach. 21. 22