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: | Mastroeni Giandomenico, Pappalardo Massimo, Passacantando Mauro |
Keywords: | programming: mathematical |
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.