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Differential duality

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  • A. Mantovi

Abstract

A framework for duality theory is set forth, based on the model-independent role of homotheties. An expansion vector field is introduced as global generator of pure expansion effects, in terms of which to deepen the differential aspects of preference symmetries, fundamental identities and conjugation in connection with the benchmark nature of homothetic models. Potential lines of progress are envisaged.

Suggested Citation

  • A. Mantovi, 2013. "Differential duality," Economics Department Working Papers 2013-EP05, Department of Economics, Parma University (Italy).
    • Handle: RePEc:par:dipeco:2013-ep05
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    References listed on IDEAS

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    Cited by:

    1. Andrea Mantovi, 2014. "On Luxury and Equilibrium," Review of Economic Analysis, Digital Initiatives at the University of Waterloo Library, vol. 6(2), pages 87-118, December.

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    More about this item

    Keywords

    Duality; homotheties; expansion vector field; preference symmetry; distance function; expenditure function; conjugation; homotheticity;
    All these keywords.

    JEL classification:

    • D10 - Microeconomics - - Household Behavior - - - General
    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory

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