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Differential duality

Author

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  • A. Mantovi

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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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    File URL: http://www.swrwebeco.unipr.it/RePEc/pdf/I_2013-05.pdf
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    References listed on IDEAS

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    1. Debreu, Gerard, 1976. "Regular Differentiable Economies," American Economic Review, American Economic Association, vol. 66(2), pages 280-287, May.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    3. William J. Baumol, 1973. "Income and Substitution Effects in the Linder Theorem," The Quarterly Journal of Economics, Oxford University Press, vol. 87(4), pages 629-633.
    4. Andrea Mantovi, 2013. "On the commutativity of expansion and substitution effects," Journal of Economics, Springer, vol. 110(1), pages 83-105, September.
    5. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, October.
    6. Tyson, Christopher J., 2013. "Preference symmetries, partial differential equations, and functional forms for utility," Journal of Mathematical Economics, Elsevier, vol. 49(4), pages 266-277.
    7. Cornes,Richard, 1992. "Duality and Modern Economics," Cambridge Books, Cambridge University Press, number 9780521336017, October.
    8. Robert Chambers & Thomas Mitchell, 2001. "Homotheticity and Non-Radial Changes," Journal of Productivity Analysis, Springer, vol. 15(1), pages 31-39, January.
    9. Bertoletti, Paolo, 2006. "Logarithmic quasi-homothetic preferences," Economics Letters, Elsevier, vol. 90(3), pages 433-439, March.
    10. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
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    15. Thomas A. Weber, 2010. "Hicksian Welfare Measures and the Normative Endowment Effect," American Economic Journal: Microeconomics, American Economic Association, vol. 2(4), pages 171-194, November.
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    17. repec:mes:challe:v:31:y:1988:i:4:p:56-58 is not listed on IDEAS
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    Cited by:

    1. Andrea Mantovi, 2014. "On Luxury and Equilibrium," Review of Economic Analysis, Rimini Centre for Economic Analysis, vol. 6(2), pages 87-118, December.

    More about this item

    Keywords

    Duality; homotheties; expansion vector field; preference symmetry; distance function; expenditure function; conjugation; homotheticity;

    JEL classification:

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

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