Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample. 1. If a matrix game is fair, then it is strictly determined. 2. If a game matrix...

Discuss the validity of each statement. If the statement is always true, explain why. If not, give a counterexample.

1. If a matrix game is fair, then it is strictly determined.

2. If a game matrix has a saddle value equal to 0, then the game is fair.

3. A game matrix can have at most one recessive row.

4. If all payoffs of a matrix game are negative, then the value of the game is negative.