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From revealed preference to preference revelation

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  • Makowski, Louis
  • Ostroy, Joseph M.

Abstract

Utility functions are regarded as elements of a linear space that is paired with a dual representation of choices to demonstrate the similarity between preference revelation and the duality of prices and quantities in revealed preference. With respect to preference revelation, quasilinear versus ordinal utility and choices in an abstract set versus choices in a linear space are distinguished and their separate and common features are explored. The central thread uniting the various strands is the subdifferentiability of convex functions.

Suggested Citation

  • Makowski, Louis & Ostroy, Joseph M., 2013. "From revealed preference to preference revelation," Journal of Mathematical Economics, Elsevier, vol. 49(1), pages 71-81.
  • Handle: RePEc:eee:mateco:v:49:y:2013:i:1:p:71-81
    DOI: 10.1016/j.jmateco.2012.10.002
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    References listed on IDEAS

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    1. Makowski, Louis & Ostroy, Joseph M. & Segal, Uzi, 1999. "Efficient Incentive Compatible Economies Are Perfectly Competitive," Journal of Economic Theory, Elsevier, vol. 85(2), pages 169-225, April.
    2. Fuchs-Seliger, Susanne, 1989. "Money-metric utility functions in the theory of revealed preference," Mathematical Social Sciences, Elsevier, vol. 18(3), pages 199-210, December.
    3. Joseph Ostroy & Uzi Segal, 2012. "No externalities: a characterization of efficiency and incentive compatibility with public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 697-719, October.
    4. Apartsin, Yevgenia & Kannai, Yakar, 2006. "Demand properties of concavifiable preferences," Journal of Mathematical Economics, Elsevier, vol. 43(1), pages 36-55, December.
    5. Kannai, Yakar, 2004. "When is individual demand concavifiable?," Journal of Mathematical Economics, Elsevier, vol. 40(1-2), pages 59-69, February.
    6. Donald J. Brown & Caterina Calsamiglia, 2008. "The Nonparametric Approach to Applied Welfare Analysis," Lecture Notes in Economics and Mathematical Systems, in: Computational Aspects of General Equilibrium Theory, pages 41-46, Springer.
    7. Birgit Heydenreich & Rudolf Müller & Marc Uetz & Rakesh V. Vohra, 2009. "Characterization of Revenue Equivalence," Econometrica, Econometric Society, vol. 77(1), pages 307-316, January.
    8. W. E. Diewert, 1973. "Afriat and Revealed Preference Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 419-425.
    9. Varian, Hal R, 1982. "The Nonparametric Approach to Demand Analysis," Econometrica, Econometric Society, vol. 50(4), pages 945-973, July.
    10. Holmstrom, Bengt, 1979. "Groves' Scheme on Restricted Domains," Econometrica, Econometric Society, vol. 47(5), pages 1137-1144, September.
    11. Krishna, Vijay & Maenner, Eliot, 2001. "Convex Potentials with an Application to Mechanism Design," Econometrica, Econometric Society, vol. 69(4), pages 1113-1119, July.
    12. Rochet, Jean-Charles, 1987. "A necessary and sufficient condition for rationalizability in a quasi-linear context," Journal of Mathematical Economics, Elsevier, vol. 16(2), pages 191-200, April.
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