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Projectively-Convex Models in Economics

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Generalized Convexity and Fractional Programming with Economic Applications

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 345))

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Abstract

Convexity (quasi-convexity) provides the traditional framework to describe optimization models in economics. Hackman and Passy (1988) introduced a generalization od convexity called Projective-convexity (or P-convexity). In this paper, we show that P-convexity provides a natural framework for describing a variety of models (e.g., consumer preference, consumer budgeting, resource allocation, multi-output) which do not adhere to the assumption of convexity.

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Authors
  1. S. T. Hackman
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  2. U. Passy
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Editor information

Editors and Affiliations

  1. Department of Statistics and Applied Mathematics, University of Pisa, Via Ridolfi 10, I-56100, Pisa, Italy

    Alberto Cambini  & Laura Martein  & 

  2. Institute of Quantitative Methods, Bocconi University, Via Sarfatti 25, I-20136, Milano, Italy

    Erio Castagnoli

  3. Institute of Mathematics, University of Verona, Via dell’Artigliere 10, I-37129, Verona, Italy

    Piera Mazzoleni

  4. Graduate School of Management, University of California, 92521, Riverside, California, USA

    Siegfried Schaible

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© 1990 Springer-Verlag Berlin Heidelberg

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Hackman, S.T., Passy, U. (1990). Projectively-Convex Models in Economics. In: Cambini, A., Castagnoli, E., Martein, L., Mazzoleni, P., Schaible, S. (eds) Generalized Convexity and Fractional Programming with Economic Applications. Lecture Notes in Economics and Mathematical Systems, vol 345. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46709-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-46709-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-52673-5

  • Online ISBN: 978-3-642-46709-7

  • eBook Packages: Springer Book Archive

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