Lexicographic and sequential equilibrium problems

Authors:
M. Bianchi;I. V. Konnov;R. Pini
Affiliations:
Dipartimento di Discipline Matematiche, Finanza Matematica ed Econometria, Università Cattolica, Milano, Italy 20123;Department of System Analysis and Information Technologies, Kazan University, Kazan, Russia 420008;Dipartimento di Metodi Quantitativi per le Scienze Economiche e Aziendali, Università Milano-Bicocca, Milano, Italy 20126
Venue:
Journal of Global Optimization
Year:
2010

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Abstract

The aim of this work is to analyze lexicographic equilibrium problems on a topological Hausdorff vector space X, and their relationship with some other vector equilibrium problems. Existence results for the tangled lexicographic problem are proved via the study of a related sequential problem. This approach was already followed by the same authors in the case of variational inequalities.