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Arrow-Barankin-Blackwell Theorems and Related Results in Cone Duality: A Survey

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Book cover Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 481))

Abstract

We attempt a brief survey on the cone duality and on the density theorems of Arrow-Barankin&Blackwell’s type. Concerning the latter aspect we show the equivalence of two recent and ostensibly different results. We follow a unified approach which provides in particular a simple way of surveying these results and their proofs.

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Author information

Authors and Affiliations

  1. Laboratoire des Mathématiques Appliquées, Université de Pau et des Pays de l’ Adour, Avenue de l’ Université, 64000 PAU, France

    Aris Daniilidis

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  1. Aris Daniilidis
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Editors and Affiliations

  1. Department of Mathematics, University of Namur, Rue de Bruxelles 61, 5000, Namur, Belgium

    Van Hien Nguyen  & Jean-Jacques Strodiot  & 

  2. Institut de Mathématiques (B37), University of Liège, Grande Traverse 12, 4000, Liège, Belgium

    Patricia Tossings

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Daniilidis, A. (2000). Arrow-Barankin-Blackwell Theorems and Related Results in Cone Duality: A Survey. In: Nguyen, V.H., Strodiot, JJ., Tossings, P. (eds) Optimization. Lecture Notes in Economics and Mathematical Systems, vol 481. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57014-8_9

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  • DOI: https://doi.org/10.1007/978-3-642-57014-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66905-0

  • Online ISBN: 978-3-642-57014-8

  • eBook Packages: Springer Book Archive

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