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

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  • 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.
    Mathematics Subject Classification: Primary: 90C29, 90C35; Secondary: 90B06, 90B10.

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