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Decisions in Economics and Finance

Erschienen in:

01.11.2017

Cyclically monotone equilibrium problems and Ekeland’s principle

verfasst von: Massimiliano Giuli

Erschienen in: Decisions in Economics and Finance | Ausgabe 1-2/2017

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Abstract

We study the existence of equilibria and approximate equilibria avoiding any assumption of convexity both for the domain and for the bifunction. Our approach is based on the concept of cyclic monotonicity for bifunctions. First, we exploit this notion to obtain an Ekeland’s variational principle for bifunctions which leads to the existence of approximate solutions of the so-called Minty equilibrium problem. Then, we prove the existence of equilibria in compact and noncompact settings. We introduce a new notion as a key tool for deriving a Minty’s lemma avoiding the use of convexity.

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Titel: Cyclically monotone equilibrium problems and Ekeland’s principle
verfasst von: Massimiliano Giuli
Publikationsdatum: 01.11.2017
Verlag: Springer Milan
Erschienen in: Decisions in Economics and Finance / Ausgabe 1-2/2017
Print ISSN: 1593-8883
Elektronische ISSN: 1129-6569
DOI: https://doi.org/10.1007/s10203-017-0188-6

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