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Increasing quasiconcave co-radiant functions with applications in mathematical economics

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An Erratum to this article was published on 01 June 2017

Abstract

We study increasing quasiconcave functions which are co-radiant. Such functions have frequently been employed in microeconomic analysis. The study is carried out in the contemporary framework of abstract convexity and abstract concavity. Various properties of these functions are derived. In particular we identify a small “natural” infimal generator of the set of all coradiant quasiconcave increasing functions. We use this generator to examine two duality schemes for these functions: classical duality often used in microeconomic analysis and a more recent duality concept. Some possible applications to the theory of production functions and utility functions are discussed.

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Authors and Affiliations

  1. CODE and Departament d’Economia i d’Història Econòmica, Universitat Autònoma de Barcelona, 08193, Bellaterra, Spain

    Juan Enrique Martínez-Legaz

  2. CIAO and School of Information Technology and Mathematical Sciences, University of Ballarat, Ballarat, Victoria, 3353, Australia

    Alexander M. Rubinov

  3. A. G. Anderson Graduate School of Management, University of California, Riverside, CA, 92521, USA

    Siegfried Schaible

Authors
  1. Juan Enrique Martínez-Legaz
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  2. Alexander M. Rubinov
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  3. Siegfried Schaible
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Corresponding author

Correspondence to Siegfried Schaible.

Additional information

Manuscript received: February 2004/Accepted: June 2004

The research of this author was supported in part by the Ministerio de Ciencia y Tecnología, project BEC2002-00642, and by the Comissionat per Universitats i Recerca de la Generalitat de Catalunya, grant SGR2001-00162. He also thanks for the support of the Barcelona Economics Program of CREA.

The research of this author was supported by the Australian Research Council.

An erratum to this article is available at http://dx.doi.org/10.1007/s00186-017-0590-4.

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Martínez-Legaz, J., Rubinov, A. & Schaible, S. Increasing quasiconcave co-radiant functions with applications in mathematical economics. Math Meth Oper Res 61, 261–280 (2005). https://doi.org/10.1007/s001860400405

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  • DOI: https://doi.org/10.1007/s001860400405

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