Chapter 9.1, Problem 22E

In Exercises 21 and 22, mark each statement True or False. Justify each answer.

22.

1. a. If a_ij is a saddle point, then a_ij is the smallest entry in row i and the largest entry in column j.
2. b. Each pure strategy is an optimal strategy.
3. c. The value v_R of the game to player R is the maximum of the values of the various possible strategies for R.
4. d. The Fundamental Theorem for Matrix Games shows how to solve every matrix game.
5. e. If column t dominates some other column in a payoff matrix A, then column t will not be used (that is, have probability zero) in an optimal strategy for (column) player C.