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Stochastic Complementarity

Author

Listed:
  • Paola Manzini

    (School of Economics and Finance, University of St. Andrews, and IZA - Institute for Labor Economics)

  • Marco Mariotti

    (School of Economics and Finance, Queen Mary University of London)

  • Levent Ülkü

    (Centro de Investigación Económica (CIE), Instituto Tecnológico Autónomo de México (ITAM))

Abstract

Classical deÖnitions of complementarity are based on cross price elasticities, and so they do not apply, for example, when goods are free. This context includes many relevant cases such as online newspapers and public attractions. We look for a complementarity notion that does not rely on price variation and that is: behavioural (based only on observable choice data); and model-free (valid whether the agent is rational or not). We uncover a conáict between properties that complementarity should intuitively possess. We discuss three ways out of the impossibility.

Suggested Citation

  • Paola Manzini & Marco Mariotti & Levent Ülkü, 2015. "Stochastic Complementarity," Working Papers 1501, Centro de Investigacion Economica, ITAM.
    • Handle: RePEc:cie:wpaper:1501
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    References listed on IDEAS

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    1. B. Douglas Bernheim, 2009. "Behavioral Welfare Economics," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 267-319, 04-05.
    2. Aguiar, Victor H. & Boccardi, Maria Jose & Dean, Mark, 2016. "Satisficing and stochastic choice," Journal of Economic Theory, Elsevier, vol. 166(C), pages 445-482.
    3. Christopher P. Chambers & Federico Echenique & Eran Shmaya, 2011. "Testable Implications of Gross Substitutes in Demand for Two Goods," American Economic Journal: Microeconomics, American Economic Association, vol. 3(1), pages 129-136, February.
    4. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, March.
    5. B. Douglas Bernheim & Antonio Rangel, 2009. "Beyond Revealed Preference: Choice-Theoretic Foundations for Behavioral Welfare Economics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 124(1), pages 51-104.
    6. Matthew Gentzkow, 2007. "Valuing New Goods in a Model with Complementarity: Online Newspapers," American Economic Review, American Economic Association, vol. 97(3), pages 713-744, June.
    7. Chambers, Christopher P. & Echenique, Federico & Shmaya, Eran, 2010. "On behavioral complementarity and its implications," Journal of Economic Theory, Elsevier, vol. 145(6), pages 2332-2355, November.
    8. Elizabeth Baldwin & Paul Klemperer, 2019. "Understanding Preferences: “Demand Types”, and the Existence of Equilibrium With Indivisibilities," Econometrica, Econometric Society, vol. 87(3), pages 867-932, May.
    9. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    10. Andrew Caplin & Mark Dean, 2015. "Revealed Preference, Rational Inattention, and Costly Information Acquisition," American Economic Review, American Economic Association, vol. 105(7), pages 2183-2203, July.
    11. Chipman, John S., 1977. "An empirical implication of Auspitz-Lieben-Edgeworth-Pareto complementarity," Journal of Economic Theory, Elsevier, vol. 14(1), pages 228-231, February.
    12. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82, pages 1873-1912, September.
    13. Bikhchandani, Sushil & Mamer, John W., 1997. "Competitive Equilibrium in an Exchange Economy with Indivisibilities," Journal of Economic Theory, Elsevier, vol. 74(2), pages 385-413, June.
    14. Blavatskyy, Pavlo R., 2011. "Probabilistic risk aversion with an arbitrary outcome set," Economics Letters, Elsevier, vol. 112(1), pages 34-37, July.
    15. Samuelson, Paul A, 1974. "Complementarity-An Essay on the 40th Anniversary of the Hicks-Allen Revolution in Demand Theory," Journal of Economic Literature, American Economic Association, vol. 12(4), pages 1255-1289, December.
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    Cited by:

    1. Iaria, Alessandro & ,, 2020. "Identification and Estimation of Demand for Bundles," CEPR Discussion Papers 14363, C.E.P.R. Discussion Papers.
    2. Iaria, Alessandro & ,, 2020. "Inferring Complementarity from Correlations rather than Structural Estimation," CEPR Discussion Papers 14273, C.E.P.R. Discussion Papers.
    3. Roy Allen & John Rehbeck, 2023. "Revealed stochastic choice with attributes," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 91-112, January.
    4. Iaria, Alessandro & Wang, Ao, 2021. "A note on stochastic complementarity for the applied researcher," Economics Letters, Elsevier, vol. 199(C).
    5. Roy Allen & John Rehbeck, 2020. "Hicksian complementarity and perturbed utility models," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 245-261, October.

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    More about this item

    Keywords

    Complements and substitutes; Correlation; Stochastic choice;
    All these keywords.

    JEL classification:

    • D0 - Microeconomics - - General

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