IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/11675.html
   My bibliography  Save this paper

Preference Estimation with Unobserved Choice Set Heterogeneity using Sufficient Sets

Author

Listed:
  • Griffith, Rachel
  • Crawford, Gregory
  • Iaria, Alessandro

Abstract

This paper introduces "sufficient sets'' and shows how they can address unobserved choice set heterogeneity. Motivated by economic theory, a sufficient set is a combination of a consumer's observed choices that is a subset of their true but unobserved choice set. We introduce a Sufficient Set logit that "differences out'' consumers' true choice sets, permitting consistent parameter estimation, and show how to use sufficient sets to semi-parametrically estimate preferences and lessen the computational burden of methods that integrate over the distribution of choice sets. We illustrate our ideas using Monte Carlo simulations and by estimating demand for chocolate in the UK.

Suggested Citation

  • Griffith, Rachel & Crawford, Gregory & Iaria, Alessandro, 2016. "Preference Estimation with Unobserved Choice Set Heterogeneity using Sufficient Sets," CEPR Discussion Papers 11675, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:11675
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP11675
    Download Restriction: CEPR Discussion Papers are free to download for our researchers, subscribers and members. If you fall into one of these categories but have trouble downloading our papers, please contact us at subscribers@cepr.org
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Michael Dinerstein & Liran Einav & Jonathan Levin & Neel Sundaresan, 2018. "Consumer Price Search and Platform Design in Internet Commerce," American Economic Review, American Economic Association, vol. 108(7), pages 1820-1859, July.
    2. Stigler, George J., 2011. "Economics of Information," Ekonomicheskaya Politika / Economic Policy, Russian Presidential Academy of National Economy and Public Administration, vol. 5, pages 35-49.
    3. Xavier Gabaix, 2014. "A Sparsity-Based Model of Bounded Rationality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 129(4), pages 1661-1710.
    4. Crawford, Gregory S., 2012. "Endogenous product choice: A progress report," International Journal of Industrial Organization, Elsevier, vol. 30(3), pages 315-320.
    5. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    6. Jeremy T. Fox, 2007. "Semiparametric estimation of multinomial discrete-choice models using a subset of choices," RAND Journal of Economics, RAND Corporation, vol. 38(4), pages 1002-1019, December.
    7. José Luis Moraga-González & Zsolt Sándor & Matthijs R Wildenbeest, 2023. "Consumer Search and Prices in the Automobile Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(3), pages 1394-1440.
    8. Filip Matêjka & Alisdair McKay, 2015. "Rational Inattention to Discrete Choices: A New Foundation for the Multinomial Logit Model," American Economic Review, American Economic Association, vol. 105(1), pages 272-298, January.
    9. Guido W. Imbens & Charles F. Manski, 2004. "Confidence Intervals for Partially Identified Parameters," Econometrica, Econometric Society, vol. 72(6), pages 1845-1857, November.
    10. Pedro Bordalo & Nicola Gennaioli & Andrei Shleifer, 2013. "Salience and Consumer Choice," Journal of Political Economy, University of Chicago Press, vol. 121(5), pages 803-843.
    11. Hausman, Jerry & McFadden, Daniel, 1984. "Specification Tests for the Multinomial Logit Model," Econometrica, Econometric Society, vol. 52(5), pages 1219-1240, September.
    12. Kfir Eliaz & Ran Spiegler, 2011. "Consideration Sets and Competitive Marketing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 235-262.
    13. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    14. Pierre Dubois & Rachel Griffith & Martin O’Connell, 2018. "The Effects of Banning Advertising in Junk Food Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 85(1), pages 396-436.
    15. Janet Currie & Stefano DellaVigna & Enrico Moretti & Vikram Pathania, 2010. "The Effect of Fast Food Restaurants on Obesity and Weight Gain," American Economic Journal: Economic Policy, American Economic Association, vol. 2(3), pages 32-63, August.
    16. Bierlaire, M. & Bolduc, D. & McFadden, D., 2008. "The estimation of generalized extreme value models from choice-based samples," Transportation Research Part B: Methodological, Elsevier, vol. 42(4), pages 381-394, May.
    17. Christopher T. Conlon & Julie Holland Mortimer, 2013. "Demand Estimation under Incomplete Product Availability," American Economic Journal: Microeconomics, American Economic Association, vol. 5(4), pages 1-30, November.
    18. Daniel McFadden & Kenneth Train, 2000. "Mixed MNL models for discrete response," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(5), pages 447-470.
    19. Andrew Leicester & Zoe Oldfield, 2009. "An analysis of consumer panel data," IFS Working Papers W09/09, Institute for Fiscal Studies.
    20. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, September.
    21. Draganska, Michaela & Klapper, Daniel, 2010. "Choice Set Heterogeneity and the Role of Advertising: An Analysis with Micro and Macro Data," Research Papers 2063, Stanford University, Graduate School of Business.
    22. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291.
    23. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    24. Timothy J. Gilbride & Greg M. Allenby, 2004. "A Choice Model with Conjunctive, Disjunctive, and Compensatory Screening Rules," Marketing Science, INFORMS, vol. 23(3), pages 391-406, October.
    25. Christopher R. Walters, 2018. "The Demand for Effective Charter Schools," Journal of Political Economy, University of Chicago Press, vol. 126(6), pages 2179-2223.
    26. Ruud, Paul A., 1984. "Tests of Specification in Econometrics," Department of Economics, Working Paper Series qt4kq8m0hf, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    27. Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 47(1), pages 225-238.
    28. Michaela Draganska & Michael Mazzeo & Katja Seim, 2009. "Beyond plain vanilla: Modeling joint product assortment and pricing decisions," Quantitative Marketing and Economics (QME), Springer, vol. 7(2), pages 105-146, June.
    29. Martin Gaynor & Carol Propper & Stephan Seiler, 2016. "Free to Choose? Reform, Choice, and Consideration Sets in the English National Health Service," American Economic Review, American Economic Association, vol. 106(11), pages 3521-3557, November.
    30. D’Haultfœuille, Xavier & Iaria, Alessandro, 2016. "A convenient method for the estimation of the multinomial logit model with fixed effects," Economics Letters, Elsevier, vol. 141(C), pages 77-79.
    31. Chiang, Jeongwen & Chib, Siddhartha & Narasimhan, Chakravarthi, 1998. "Markov chain Monte Carlo and models of consideration set and parameter heterogeneity," Journal of Econometrics, Elsevier, vol. 89(1-2), pages 223-248, November.
    32. Alon Eizenberg, 2014. "Upstream Innovation and Product Variety in the U.S. Home PC Market," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(3), pages 1003-1045.
    33. Crawford, Gregory S., 2012. "Endogenous Product Choice: A Progress Report," Economic Research Papers 270745, University of Warwick - Department of Economics.
    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. Beckert, Walter, 2018. "Choice in the presence of experts: The role of general practitioners in patients’ hospital choice," Journal of Health Economics, Elsevier, vol. 60(C), pages 98-117.
    2. Jason Abaluck & Abi Adams, 2017. "What Do Consumers Consider Before They Choose? Identification from Asymmetric Demand Responses," NBER Working Papers 23566, National Bureau of Economic Research, Inc.
    3. Matteo Benetton, 2021. "Leverage Regulation and Market Structure: A Structural Model of the U.K. Mortgage Market," Journal of Finance, American Finance Association, vol. 76(6), pages 2997-3053, December.
    4. Kim, Hyunchul & Kim, Kyoo il, 2017. "Estimating store choices with endogenous shopping bundles and price uncertainty," International Journal of Industrial Organization, Elsevier, vol. 54(C), pages 1-36.
    5. Assele, Samson Yaekob & Meulders, Michel & Vandebroek, Martina, 2022. "The value of consideration data in a discrete choice experiment," Journal of choice modelling, Elsevier, vol. 45(C).
    6. Lu, Zhentong, 2022. "Estimating multinomial choice models with unobserved choice sets," Journal of Econometrics, Elsevier, vol. 226(2), pages 368-398.
    7. Jason Abaluck & Abi Adams, 2017. "What do consumers consider before they choose? Identification from asymmetric demand responses," IFS Working Papers W17/09, Institute for Fiscal Studies.
    8. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    9. Taburet, Arthur & Polo, Alberto & Vo, Quynh-Anh, 2024. "Screening using a menu of contracts: a structural model of lending markets," Bank of England working papers 1057, Bank of England.

    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. Crawford, Gregory S. & Griffith, Rachel & Iaria, Alessandro, 2021. "A survey of preference estimation with unobserved choice set heterogeneity," Journal of Econometrics, Elsevier, vol. 222(1), pages 4-43.
    2. Helmers, Christian & Krishnan, Pramila & Patnam, Manasa, 2019. "Attention and saliency on the internet: Evidence from an online recommendation system," Journal of Economic Behavior & Organization, Elsevier, vol. 161(C), pages 216-242.
    3. Lu, Zhentong, 2022. "Estimating multinomial choice models with unobserved choice sets," Journal of Econometrics, Elsevier, vol. 226(2), pages 368-398.
    4. Levon Barseghyan & Maura Coughlin & Francesca Molinari & Joshua C. Teitelbaum, 2021. "Heterogeneous Choice Sets and Preferences," Econometrica, Econometric Society, vol. 89(5), pages 2015-2048, September.
    5. Xavier Gabaix, 2017. "Behavioral Inattention," NBER Working Papers 24096, National Bureau of Economic Research, Inc.
    6. Xuan Teng, 2022. "Self-Preferencing, Quality Provision, and Welfare in Mobile Application Markets," CESifo Working Paper Series 10042, CESifo.
    7. Hickman, William & Mortimer, Julie Holland, 2016. "Demand Estimation with Availability Variation," SocArXiv qe69j, Center for Open Science.
    8. Levon Barseghyan & Francesca Molinari & Matthew Thirkettle, 2021. "Discrete Choice under Risk with Limited Consideration," American Economic Review, American Economic Association, vol. 111(6), pages 1972-2006, June.
    9. Gregory S. Crawford & Oleksandr Shcherbakov & Matthew Shum, 2015. "The welfare effects of endogenous quality choice in cable television markets," ECON - Working Papers 202, Department of Economics - University of Zurich.
    10. John K. -H. Quah & Gerelt Tserenjigmid, 2022. "Price Heterogeneity as a source of Heterogenous Demand," Papers 2201.03784, arXiv.org, revised Jan 2022.
    11. Crawford, Gregory & Shcherbakov, Oleksandr & Shum, Matthew, 2015. "The Welfare E ects of Endogenous Quality Choice in Cable Television Markets," CEPR Discussion Papers 10793, C.E.P.R. Discussion Papers.
    12. Jason Abaluck & Abi Adams, 2017. "What Do Consumers Consider Before They Choose? Identification from Asymmetric Demand Responses," NBER Working Papers 23566, National Bureau of Economic Research, Inc.
    13. Joseph Pancras, 2010. "A Framework to Determine the Value of Consumer Consideration Set Information for Firm Pricing Strategies," Computational Economics, Springer;Society for Computational Economics, vol. 35(3), pages 269-300, March.
    14. Jason Abaluck & Abi Adams, 2017. "What do consumers consider before they choose? Identification from asymmetric demand responses," IFS Working Papers W17/09, Institute for Fiscal Studies.
    15. Pereira, Pedro & Ribeiro, Tiago, 2011. "The impact on broadband access to the Internet of the dual ownership of telephone and cable networks," International Journal of Industrial Organization, Elsevier, vol. 29(2), pages 283-293, March.
    16. Roy Allen & John Rehbeck, 2020. "Identification of Random Coefficient Latent Utility Models," Papers 2003.00276, arXiv.org.
    17. Breitmoser, Yves, 2016. "Stochastic choice, systematic mistakes and preference estimation," MPRA Paper 72779, University Library of Munich, Germany.
    18. Valentino Dardanoni & Paola Manzini & Marco Mariotti & Christopher J. Tyson, 2020. "Inferring Cognitive Heterogeneity From Aggregate Choices," Econometrica, Econometric Society, vol. 88(3), pages 1269-1296, May.
    19. Francesca Molinari, 2020. "Microeconometrics with Partial Identi?cation," CeMMAP working papers CWP15/20, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    20. Ying Fan & Chenyu Yang, 2020. "Competition, Product Proliferation, and Welfare: A Study of the US Smartphone Market," American Economic Journal: Microeconomics, American Economic Association, vol. 12(2), pages 99-134, May.

    More about this item

    Keywords

    Unobserved choice set heterogeneity; Discrete choice demand estimation; Sufficient sets; Attention; Search; Endogenous product choice;
    All these keywords.

    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:cpr:ceprdp:11675. 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: the person in charge (email available below). General contact details of provider: https://www.cepr.org .

    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.