EDP Sciences Journals List
Issue RAIRO Oper. Res.
Volume 35, Number 4, October-December 2001
Page(s) 439 - 451
DOI 10.1051/ro:2001124

DOI: 10.1051/ro:2001124


RAIRO Oper. Res. 35 (2001) 439-451

Sur l'équilibre fort selon Berge

Moussa Larbani and Rabia Nessah

Département de Mathématiques, Faculté des Sciences, Université Mouloude-Mammeri de Tizi Ouzou, 15000 Tizi-Ouzou, Algérie ; m_larbani@yahoo.fr., rnessah@yahoo.fr.

(Reçu en mars 2001.)

Abstract
In this paper we study the main properties of the strong Berge equilibrium, then we prove a theorem of its existence based on the Ky Fan inequality and finally, we provide an algorithm for its determination.

Résumé
Dans cet article nous étudions les propriétés essentielles de l'équilibre fort selon Berge (EFSB) pour les jeux à n personnes, ensuite nous prouvons son existence en utilisant l'inégalité de Ky Fan et donnons un procédé adéquat pour sa recherche pratique.


Key words: Jeux, équilibre, inégalité de Ky Fan.


© EDP Sciences 2001


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