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Merit functions: a bridge between optimization and equilibria

Author

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  • Massimo Pappalardo

    (Università di Pisa)

  • Giandomenico Mastroeni

    (Università di Pisa)

  • Mauro Passacantando

    (Università di Pisa)

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.

Suggested Citation

  • Massimo Pappalardo & Giandomenico Mastroeni & Mauro Passacantando, 2016. "Merit functions: a bridge between optimization and equilibria," Annals of Operations Research, Springer, vol. 240(1), pages 271-299, May.
    • Handle: RePEc:spr:annopr:v:240:y:2016:i:1:d:10.1007_s10479-015-2013-3
    DOI: 10.1007/s10479-015-2013-3
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