Reduction of Dimension of the Upper Level Problem in a Bilevel Programming Model Part 2
The paper deals with a problem of reducing dimension of the upper level problem in a bilevel programming model. In order to diminish the number of variables governed by the leader at the upper level, we create the second follower supplied with the objective function coinciding with that of the leader and pass part of the uppser level variables to the lower level to be governed but the second follower. The lower level problem is also modified and becomes a Nash equilibrium problem solved by the original and the new followers. We look for conditions that guarantee that the modified and the original bilevel programming problems share at least one optimal solution.
KeywordsNash Equilibrium Level Problem Bilevel Programming Lower Level Problem Bilevel Programming Problem
Unable to display preview. Download preview PDF.