Classical duality and existence results for amulti-criteria supply-demand network equilibrium model
2009
We propose a dual model of a multi-criteria network equilibrium
model and establish a primal-dual relationship between the network
model and its dual model under certain generalized monotonicity
assumptions. By using Gerstewitz's function, we obtain the
primal-dual relationship without any convexity assumptions. As an
application of the dual model, we derive an existence result for the
network model.
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