Quasi-variational inequalities and applications to the traffic equilibrium problem; discussion of a paradox

摘要

This paper attempts to explore the possibility of solving the traffic assignment problem with elastic demands by way of a quasi-variational inequality. It is shown that the solving procedure, proposed by Maugeri (1987) with respect to the fixed demands model, is also available when the equilibrium problem with elastic demands is expressed in terms of a quasi-variational inequality. A numerical example is presented to illustrate the computational procedure and to discuss a paradox; moreover a theorem, that ensures the existence of a solution of the quasi-variational inequality, is exhibited.