Merit functions: a bridge between optimization and equilibria

Merit functions: a bridge between optimization and equilibria

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Article ID: iaor20162266
Volume: 240
Issue: 1
Start Page Number: 271
End Page Number: 299
Publication Date: May 2016
Journal: Annals of Operations Research
Authors: , ,
Keywords: programming: mathematical
Abstract:

In the last decades, many problems involving equilibria, arising from engineering, physics and economics, have been formulated as variational mathematical models. In turn, these models can be reformulated as optimization problems through merit functions. This paper aims at reviewing the literature about merit functions for variational inequalities, quasi‐variational inequalities and abstract equilibrium problems. Smoothness and convexity properties of merit functions and solution methods based on them will be presented.

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