IDEAS home Printed from https://ideas.repec.org/p/cie/wpaper/1501.html

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
    as

    Download full text from publisher

    File URL: http://ftp.itam.mx/pub/academico/inves/ulku/15-01.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    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. 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.
    5. 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.
    6. 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.
    7. John K.-H Quah, 2007. "The Comparative Statics of Constrained Optimization Problems," Econometrica, Econometric Society, vol. 75(2), pages 401-431, March.
    8. B. Douglas Bernheim, 2009. "Behavioral Welfare Economics," Journal of the European Economic Association, MIT Press, vol. 7(2-3), pages 267-319, 04-05.
    9. 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.
    10. 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.
    11. 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.
    12. Blavatskyy, Pavlo R., 2011. "Probabilistic risk aversion with an arbitrary outcome set," Economics Letters, Elsevier, vol. 112(1), pages 34-37, July.
    13. Faruk Gul & Paulo Natenzon & Wolfgang Pesendorfer, 2014. "Random Choice as Behavioral Optimization," Econometrica, Econometric Society, vol. 82(5), pages 1873-1912, September.
    14. 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.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Liao, Fanchao & Dissanayake, Dilum & Homem de Almeida Correia, Gonçalo, 2024. "Modelling the complementarity and flexibility between different shared modes available in smart electric mobility hubs (eHUBS)," Transportation Research Part A: Policy and Practice, Elsevier, vol. 190(C).
    2. Iaria, Alessandro & ,, 2020. "Identification and Estimation of Demand for Bundles," CEPR Discussion Papers 14363, C.E.P.R. Discussion Papers.
    3. Iaria, Alessandro & ,, 2020. "Inferring Complementarity from Correlations rather than Structural Estimation," CEPR Discussion Papers 14273, C.E.P.R. Discussion Papers.
    4. 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.
    5. Iaria, Alessandro & Wang, Ao, 2021. "A note on stochastic complementarity for the applied researcher," Economics Letters, Elsevier, vol. 199(C).
    6. 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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edward E. Schlee & M. Ali Khan, 2022. "Money Metrics In Applied Welfare Analysis: A Saddlepoint Rehabilitation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 63(1), pages 189-210, February.
    2. Guy Barokas & Burak Ünveren, 2022. "Impressionable Rational Choice: Revealed-Preference Theory with Framing Effects," Mathematics, MDPI, vol. 10(23), pages 1-19, November.
    3. Xavier Gabaix, 2017. "Behavioral Inattention," NBER Working Papers 24096, National Bureau of Economic Research, Inc.
    4. Duffy, Sean & Gussman, Steven & Smith, John, 2021. "Visual judgments of length in the economics laboratory: Are there brains in stochastic choice?," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 93(C).
    5. Glenn W. Harrison, 2019. "The behavioral welfare economics of insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 44(2), pages 137-175, September.
    6. Christopher Tyson, 2015. "Satisficing behavior with a secondary criterion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 44(3), pages 639-661, March.
    7. Francesco Cerigioni & Simone Galperti, 2021. "Listing specs: The effect of framing attributes on choice," Economics Working Papers 1775, Department of Economics and Business, Universitat Pompeu Fabra.
    8. Jacobs Martin, 2016. "Accounting for Changing Tastes: Approaches to Explaining Unstable Individual Preferences," Review of Economics, De Gruyter, vol. 67(2), pages 121-183, August.
    9. DECANCQ, Koen & FLEURBAEY, Marc & SCHOKKAERT, Erik, 2014. "Inequality, income, and well-being," LIDAM Discussion Papers CORE 2014018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Yongjie Yang & Dinko Dimitrov, 2019. "The complexity of shelflisting," Theory and Decision, Springer, vol. 86(1), pages 123-141, February.
    11. Carlos Alós-Ferrer & Ernst Fehr & Nick Netzer, 2021. "Time Will Tell: Recovering Preferences When Choices Are Noisy," Journal of Political Economy, University of Chicago Press, vol. 129(6), pages 1828-1877.
    12. Georgios Gerasimou, 2021. "Eliciting and Distinguishing Between Weak and Incomplete Preferences: Theory, Experiment and Computation," Papers 2111.14431, arXiv.org, revised Sep 2025.
    13. Daniel Serra, 2019. "Neuroeconomics and modern neuroscience," CEE-M Working Papers halshs-02160907, CEE-M, Universtiy of Montpellier, CNRS, INRA, Montpellier SupAgro.
    14. Emmanuel Farhi & Xavier Gabaix, 2020. "Optimal Taxation with Behavioral Agents," American Economic Review, American Economic Association, vol. 110(1), pages 298-336, January.
    15. Barokas, Guy, 2019. "Choice theoretic foundation for libertarian paternalism: Reconciling the behavioral and libertarian approaches to welfare," Journal of Mathematical Economics, Elsevier, vol. 81(C), pages 62-73.
    16. Eddie Dekel & Barton L. Lipman, 2010. "How (Not) to Do Decision Theory," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 257-282, September.
    17. T. Hayashi & R. Jain & V. Korpela & M. Lombardi, 2023. "Behavioral strong implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1257-1287, November.
    18. Marc Fleurbaey & Erik Schokkaert, 2013. "Behavioral Welfare Economics and Redistribution," American Economic Journal: Microeconomics, American Economic Association, vol. 5(3), pages 180-205, August.
    19. Adam Sanjurjo, 2015. "Search, Memory, and Choice Error: An Experiment," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-16, June.
    20. Decancq, Koen & Nys, Annemie, 2021. "Non-parametric well-being comparisons," European Economic Review, Elsevier, vol. 133(C).

    More about this item

    Keywords

    ;
    ;
    ;

    JEL classification:

    • D0 - Microeconomics - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:cie:wpaper:1501. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Diego Dominguez (email available below). General contact details of provider: https://edirc.repec.org/data/ciitamx.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.