With respect to equilibrium models, I have been interested in the formulation and solution of variational inequalities through the minimization of merit functions, convex or not which, in the special of optimization problems, are closely related to the duality gap.
I am currently studying, in the realm of
programming, optimization problems with variational constraints, for
which we proposed both exact algorithms and powerful heuristic procedures
based on the particular structures of the problem. In particular I have
studied toll maximization problems (revenue management )
which brought to my attention a bicriterion (time-money) traffic assignment
model with surprising properties!