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Differential duality

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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.

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File URL: http://swrwebeco.econ.unipr.it/RePEc/pdf/I_2013-05.pdf
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Bibliographic Info

Paper provided by Department of Economics, Parma University (Italy) in its series Economics Department Working Papers with number 2013-EP05.

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Length: 19
Date of creation: 2013
Date of revision:
Handle: RePEc:par:dipeco:2013-ep05

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

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References

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  1. Robert G. Chambers & Rolf Färe, 1998. "Translation homotheticity," Economic Theory, Springer, Springer, vol. 11(3), pages 629-641.
  2. Pollak, Robert A, 1971. "Additive Utility Functions and Linear Engel Curves," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 38(116), pages 401-14, October.
  3. 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.
  4. Bogetoft, Peter & Fare, Rolf & Obel, Borge, 2006. "Allocative efficiency of technically inefficient production units," European Journal of Operational Research, Elsevier, Elsevier, vol. 168(2), pages 450-462, January.
  5. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521314275.
  6. Debreu, Gerard, 1976. "Regular Differentiable Economies," American Economic Review, American Economic Association, American Economic Association, vol. 66(2), pages 280-87, May.
  7. Bertoletti, Paolo, 2006. "Logarithmic quasi-homothetic preferences," Economics Letters, Elsevier, Elsevier, vol. 90(3), pages 433-439, March.
  8. Chipman, John S & Moore, James C, 1980. "Compensating Variation, Consumer's Surplus, and Welfare," American Economic Review, American Economic Association, American Economic Association, vol. 70(5), pages 933-49, December.
  9. Cornes,Richard, 1992. "Duality and Modern Economics," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521336017.
  10. Baumol, William J, 1973. "Income and Substitution Effects in the Linder Theorem," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 87(4), pages 629-33, November.
  11. Andrea Mantovi, 2013. "On the commutativity of expansion and substitution effects," Journal of Economics, Springer, Springer, vol. 110(1), pages 83-105, September.
  12. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
  13. Robert Chambers & Thomas Mitchell, 2001. "Homotheticity and Non-Radial Changes," Journal of Productivity Analysis, Springer, Springer, vol. 15(1), pages 31-39, January.
  14. Deaton, Angus, 1979. "The Distance Function in Consumer Behaviour with Applications to Index Numbers and Optimal Taxation," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 46(3), pages 391-405, July.
  15. Thomas A. Weber, 2010. "Hicksian Welfare Measures and the Normative Endowment Effect," American Economic Journal: Microeconomics, American Economic Association, American Economic Association, vol. 2(4), pages 171-94, November.
  16. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, Oxford University Press, number 9780195102680, October.
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Cited by:
  1. A. Mantovi, 2014. "On luxury and equilibrium," Economics Department Working Papers, Department of Economics, Parma University (Italy) 2014-EP02, Department of Economics, Parma University (Italy).

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