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A Representation Theorem for General Revealed Preference

Author

Listed:
  • Mikhail Freer
  • Cesar Martinelli

Abstract

We provide a representation theorem for revealed preference of an agent whose consumption set is contained in a general topological space (separable Hausdorff space). We use this result to construct a revealed preference test that applies to choice over infinite consumption streams and probability distribution spaces, among other cases of interest in economics. In particular, we construct a revealed preference test for best-responding behavior in strategic games.

Suggested Citation

  • Mikhail Freer & Cesar Martinelli, 2018. "A Representation Theorem for General Revealed Preference," Working Papers ECARES 2018-28, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:eca:wpaper:2013/277649
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    File URL: https://dipot.ulb.ac.be/dspace/bitstream/2013/277649/3/2018-28-FREER_MARTINELLI-a-representation.pdf
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    References listed on IDEAS

    as
    1. Forges, Françoise & Minelli, Enrico, 2009. "Afriat's theorem for general budget sets," Journal of Economic Theory, Elsevier, vol. 144(1), pages 135-145, January.
    2. Chambers,Christopher P. & Echenique,Federico, 2016. "Revealed Preference Theory," Cambridge Books, Cambridge University Press, number 9781107087804, June.
    3. Victor H. Aguiar & Nail Kashaev, 2018. "Stochastic Revealed Preferences with Measurement Error," Papers 1810.05287, arXiv.org.
    4. Christopher P. Chambers & Federico Echenique & Eran Shmaya, 2014. "The Axiomatic Structure of Empirical Content," American Economic Review, American Economic Association, vol. 104(8), pages 2303-2319, August.
    5. Victor Chernozhukov & Han Hong & Elie Tamer, 2007. "Estimation and Confidence Regions for Parameter Sets in Econometric Models," Econometrica, Econometric Society, vol. 75(5), pages 1243-1284, September.
    6. repec:eee:jeborg:v:145:y:2018:i:c:p:202-217 is not listed on IDEAS
    7. Francoise Forges & Enrico Minelli, 2009. "Afriat's theorem for generalized budget sets," Post-Print hal-00360726, HAL.
    8. Hiroki Nishimura & Efe A. Ok & John K.-H. Quah, 2017. "A Comprehensive Approach to Revealed Preference Theory," American Economic Review, American Economic Association, vol. 107(4), pages 1239-1263, April.
    9. repec:dau:papers:123456789/4099 is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    More about this item

    Keywords

    Revealed preference; representation theorem; preference extensions; equilibrium;

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