IDEAS home Printed from https://ideas.repec.org/a/eee/econom/v149y2009i2p136-148.html
   My bibliography  Save this article

Bayesian analysis of random coefficient logit models using aggregate data

Author

Listed:
  • Jiang, Renna
  • Manchanda, Puneet
  • Rossi, Peter E.

Abstract

We present a Bayesian approach for analyzing aggregate level sales data in a market with differentiated products. We consider the aggregate share model proposed by Berry et al. [Berry, Steven, Levinsohn, James, Pakes, Ariel, 1995. Automobile prices in market equilibrium. Econometrica. 63 (4), 841-890], which introduces a common demand shock into an aggregated random coefficient logit model. A full likelihood approach is possible with a specification of the distribution of the common demand shock. We introduce a reparameterization of the covariance matrix to improve the performance of the random walk Metropolis for covariance parameters. We illustrate the usefulness of our approach with both actual and simulated data. Sampling experiments show that our approach performs well relative to the GMM estimator even in the presence of a mis-specified shock distribution. We view our approach as useful for those who are willing to trade off one additional distributional assumption for increased efficiency in estimation.

Suggested Citation

  • Jiang, Renna & Manchanda, Puneet & Rossi, Peter E., 2009. "Bayesian analysis of random coefficient logit models using aggregate data," Journal of Econometrics, Elsevier, vol. 149(2), pages 136-148, April.
    • Handle: RePEc:eee:econom:v:149:y:2009:i:2:p:136-148
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0304-4076(08)00229-7
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 964-982, December.
    2. Charles Romeo, 2007. "A Gibbs sampler for mixed logit analysis of differentiated product markets using aggregate data," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 33-68, February.
    3. K. Sudhir, 2001. "Competitive Pricing Behavior in the Auto Market: A Structural Analysis," Marketing Science, INFORMS, vol. 20(1), pages 42-60, January.
    4. Avi Goldfarb & Qiang Lu & Sridhar Moorthy, 2009. "Measuring Brand Value in an Equilibrium Framework," Marketing Science, INFORMS, vol. 28(1), pages 69-86, 01-02.
    5. Aviv Nevo, 2000. "Mergers with Differentiated Products: The Case of the Ready-to-Eat Cereal Industry," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 395-421, Autumn.
    6. Goettler, Ronald L & Shachar, Ron, 2001. "Spatial Competition in the Network Television Industry," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 624-656, Winter.
    7. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-342, March.
    8. Chernozhukov, Victor & Hong, Han, 2003. "An MCMC approach to classical estimation," Journal of Econometrics, Elsevier, vol. 115(2), pages 293-346, August.
    9. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-890, July.
    10. K. Sudhir, 2001. "Competitive Pricing Behavior in the US Auto Market: A Structural Analysis," Yale School of Management Working Papers ysm228, Yale School of Management.
    11. Sha Yang & Yuxin Chen & Greg Allenby, 2003. "Bayesian Analysis of Simultaneous Demand and Supply," Quantitative Marketing and Economics (QME), Springer, vol. 1(3), pages 251-275, September.
    12. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, The RAND Corporation, vol. 37(4), pages 964-982, December.
    13. Han Hong, 2007. "A Statistical Inquiry into the Plausibility of Recursive Utility," Journal of Financial Econometrics, Oxford University Press, vol. 5(4), pages 523-559, Fall.
    14. Conley, Timothy G. & Hansen, Christian B. & McCulloch, Robert E. & Rossi, Peter E., 2008. "A semi-parametric Bayesian approach to the instrumental variable problem," Journal of Econometrics, Elsevier, vol. 144(1), pages 276-305, May.
    15. Pradeep Chintagunta & Jean-Pierre Dubé & Vishal Singh, 2003. "Balancing Profitability and Customer Welfare in a Supermarket Chain," Quantitative Marketing and Economics (QME), Springer, vol. 1(1), pages 111-147, March.
    16. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
    Full references (including those not matched with items on IDEAS)

    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. Tomohiro Ando, 2018. "Merchant selection and pricing strategy for a platform firm in the online group buying market," Annals of Operations Research, Springer, vol. 263(1), pages 209-230, April.
    2. Pradeep Chintagunta & Tülin Erdem & Peter E. Rossi & Michel Wedel, 2006. "Structural Modeling in Marketing: Review and Assessment," Marketing Science, INFORMS, vol. 25(6), pages 604-616, 11-12.
    3. Dongling Huang & Christian Rojas & Frank Bass, 2008. "What Happens When Demand Is Estimated With A Misspecified Model?," Journal of Industrial Economics, Wiley Blackwell, vol. 56(4), pages 809-839, December.
    4. Pereira, Pedro & Ribeiro, Tiago & Vareda, João, 2013. "Delineating markets for bundles with consumer level data: The case of triple-play," International Journal of Industrial Organization, Elsevier, vol. 31(6), pages 760-773.
    5. Shinya Sugawara, 2017. "Firm‐Driven Management of Longevity Risk: Analysis of Lump‐Sum Forward Payments in Japanese Nursing Homes," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 26(1), pages 169-204, February.
    6. Victor Aguirregabiria & Margaret Slade, 2017. "Empirical models of firms and industries," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 50(5), pages 1445-1488, December.
    7. Beomjoon Shim & Ahmed Khwaja, 2017. "The Collusive Effect of Multimarket Contact on Prices: Evidence from Retail Lumber Markets," 2017 Meeting Papers 593, Society for Economic Dynamics.
    8. Charles Romeo, 2007. "A Gibbs sampler for mixed logit analysis of differentiated product markets using aggregate data," Computational Economics, Springer;Society for Computational Economics, vol. 29(1), pages 33-68, February.
    9. Raphael Thomadsen, 2007. "Product Positioning and Competition: The Role of Location in the Fast Food Industry," Marketing Science, INFORMS, vol. 26(6), pages 792-804, 11-12.
    10. Chu, Yanlai & Chu, Junhong & Liu, Hongju, 2021. "The impact of mergers and acquisitions on brand equity: A structural analysis," International Journal of Research in Marketing, Elsevier, vol. 38(3), pages 615-638.
    11. Brett Danaher & Yan Huang & Michael D. Smith & Rahul Telang, 2014. "An Empirical Analysis of Digital Music Bundling Strategies," Management Science, INFORMS, vol. 60(6), pages 1413-1433, June.
    12. S. Sriram & Pradeep K. Chintagunta & Ramya Neelamegham, 2006. "Effects of Brand Preference, Product Attributes, and Marketing Mix Variables in Technology Product Markets," Marketing Science, INFORMS, vol. 25(5), pages 440-456, September.
    13. Peter Davis & Pasquale Schiraldi, 2014. "The flexible coefficient multinomial logit (FC-MNL) model of demand for differentiated products," RAND Journal of Economics, RAND Corporation, vol. 45(1), pages 32-63, March.
    14. O. Cem Ozturk & Sriram Venkataraman & Pradeep K. Chintagunta, 2016. "Price Reactions to Rivals’ Local Channel Exits," Marketing Science, INFORMS, vol. 35(4), pages 588-604, July.
    15. Susan Athey & Guido W. Imbens, 2007. "Discrete Choice Models With Multiple Unobserved Choice Characteristics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(4), pages 1159-1192, November.
    16. Ivan Moreno-Torres, 2011. "Generic drugs in Spain: price competition vs. moral hazard," Working Papers XREAP2011-04, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2011.
    17. Nathan H. Miller & Matthew Osborne, 2014. "Spatial differentiation and price discrimination in the cement industry: evidence from a structural model," RAND Journal of Economics, RAND Corporation, vol. 45(2), pages 221-247, June.
    18. Satoshi Myojo & Yuichiro Kanazawa, 2010. "On Asymptotic Properties of the Parameters of Differentiated Product Demand and Supply Systems When Demographically-Categorized Purchasing Pattern Data are Available," Discussion Papers 1009, Graduate School of Economics, Kobe University.
    19. Margaret Aksoy-Pierson & Gad Allon & Awi Federgruen, 2013. "Price Competition Under Mixed Multinomial Logit Demand Functions," Management Science, INFORMS, vol. 59(8), pages 1817-1835, August.
    20. Ivan Moreno-Torres, 2011. "What if there was a stronger pharmaceutical price competition in Spain? When regulation has a similar effect to collusion," Working Papers XREAP2011-02, Xarxa de Referència en Economia Aplicada (XREAP), revised May 2011.

    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:eee:econom:v:149:y:2009:i:2:p:136-148. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/jeconom .

    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.