Efficient solutions for the linear bilevel programming problem

One of the interesting features of the bilevel programming problem is that its optimal solution may not be Pareto-optimal. This behavior may be economically inadmissible. This paper will present a post optimality analysis. It is intended to provide some rational efficient solutions for decision makers, after a non-Pareto-optimal solution is obtained for a linear bilevel programming problem. An efficient solution which obeys some properties will be adopted by decision makers according to their decision preferences.