Classical duality and existence results for a multi-criteria supply-demand network equilibrium model

We propose a dual model of a multi-criteria network equilibriummodel and establish a primal-dual relationship between the networkmodel and its dual model under certain generalized monotonicityassumptions. By using Gerstewitz's function, we obtain theprimal-dual relationship without any convexity assumptions. As anapplication of the dual model, we derive an existence result for thenetwork model.