Suppose A is a 2 × 3 matrix and A has a saddle point in pure strategies.
Show that it must be true that either one column dominates another, or one row dominates the other, or both. Then find a matrix A which is 3 × 3 and has a saddle point in pure strategies, but no row dominates another and no column dominates another.
Suppose A is a 2 × 3 matrix and A has a saddle point in pure strategies.