A note on ideal Nash equilibrium in multicriteria games

M.S. Radjef and K. Fahem
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M.S. Radjef: Unité de recherche LaMOS = Research unit LaMOS - Unité de recherche Laboratoire de Modélisation et Optimisation des Systèmes [Université de Béjaïa] - UB - Université Abderrahmane Mira [Université de Béjaïa] = University of Béjaïa = جامعة بجاية
K. Fahem: UMMTO - Université Mouloud Mammeri [Tizi Ouzou] = Mouloud Mammeri University of Tizi-Ouzou, CIRED - centre international de recherche sur l'environnement et le développement - Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement - EHESS - École des hautes études en sciences sociales - AgroParisTech - ENPC - École nationale des ponts et chaussées - CNRS - Centre National de la Recherche Scientifique

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Abstract: This paper is a contribution to the problem of existence of ideal Nash equilibrium in noncooperative multicriteria games in strategic form. We give an existence theorem by using the maximal element theorem due to Deguire et al. [P. Deguire, K.K. Tan, G.X.-Z. Yuan, The study of maximal elements, fixed points for Ls-majorized mappings and their applications to minimax and variational inequalities in product topological spaces, Nonlinear Anal. TMA 37 (1999) 933-951] and the characterization provided by Voorneveld et al. [M. Voorneveld, S. Grahn, M. Dufwenberg, Ideal equilibria in non cooperative multicriteria games, Math. Methods Oper. Res. 52 (2000) 65-77]. © 2008 Elsevier Ltd. All rights reserved.

Date: 2008
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Citations: View citations in EconPapers (3)

Published in Applied Mathematics Letters, 2008, 21 (11), pp.1105-1111. ⟨10.1016/j.aml.2007.12.009⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-00716317

DOI: 10.1016/j.aml.2007.12.009

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