IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this article

Optimal Bundling Strategies Under Heavy-Tailed Valuations

  • Rustam Ibragimov

    ()

    (Department of Economics, Harvard University, Cambridge, Massachusetts 02138)

  • Johan Walden

    ()

    (Haas School of Business, University of California, Berkeley, Berkeley, California 94720)

Registered author(s):

    We develop a framework for the optimal bundling problem of a multiproduct monopolist, who provides goods to consumers with private valuations that are random draws from a distribution with heavy tails. We show that in the Vickrey auction setting, the buyers prefer separate provision of the goods to any bundles. We also provide a complete characterization of the optimal bundling strategies for a monopolist producer, who provides goods for profit-maximizing prices. For products with low marginal costs, the seller's optimal strategy is to provide goods separately when consumers' valuations are heavy-tailed and in a single bundle when valuations are thin-tailed. These conclusions are reversed for goods with high marginal costs. For simplicity, we use a specific class of independent and identically distributed random variables, but our results can be generalized to include dependence, skewness, and the case of nonidentical one-dimensional distributions.

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

    File URL: http://dx.doi.org/10.1287/mnsc.1100.1234
    Download Restriction: no

    Article provided by INFORMS in its journal Management Science.

    Volume (Year): 56 (2010)
    Issue (Month): 11 (November)
    Pages: 1963-1976

    as
    in new window

    Handle: RePEc:inm:ormnsc:v:56:y:2010:i:11:p:1963-1976
    Contact details of provider: Postal:
    7240 Parkway Drive, Suite 300, Hanover, MD 21076 USA

    Phone: +1-443-757-3500
    Fax: 443-757-3515
    Web page: http://www.informs.org/
    Email:


    More information through EDIRC

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

    as in new window
    1. Indranil Chakraborty, 1999. "Bundling decisions for selling multiple objects," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 13(3), pages 723-733.
    2. Shin-yi Wu & Lorin M. Hitt & Pei-yu Chen & G. Anandalingam, 2008. "Customized Bundle Pricing for Information Goods: A Nonlinear Mixed-Integer Programming Approach," Management Science, INFORMS, vol. 54(3), pages 608-622, March.
    3. Victor Ginsburgh & David Throsby, 2006. "Handbook of the economics of art and culture," ULB Institutional Repository 2013/1673, ULB -- Universite Libre de Bruxelles.
    4. Benoit Mandelbrot, 1963. "The Variation of Certain Speculative Prices," The Journal of Business, University of Chicago Press, vol. 36, pages 394.
    5. Hanming Fang & Peter Norman, 2003. "To Bundle or Not to Bundle," Cowles Foundation Discussion Papers 1440, Cowles Foundation for Research in Economics, Yale University.
    6. Rajeev Kohli & Raaj Sah, 2005. "Some Patterns of Market Shares of Brands Within and Across Product Categories," Working Papers 0604, Harris School of Public Policy Studies, University of Chicago.
    7. Silverberg, G. & Verspagen, B., 2004. "The size distribution of innovations revisited: an application of extreme value statistics to citation and value measures of patent significance," Working Papers 04.17, Eindhoven Center for Innovation Studies.
    8. Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-80, April.
    9. Edoardo Gaffeo & Antonello E. Scorcu & Laura Vici, 2008. "Demand Distribution Dynamics in Creative Industries: the Market for Books in Italy," Working Paper Series 09_08, The Rimini Centre for Economic Analysis.
    10. Xianjun Geng & Maxwell B. Stinchcombe & Andrew B. Whinston, 2005. "Bundling Information Goods of Decreasing Value," Management Science, INFORMS, vol. 51(4), pages 662-667, April.
    11. V.A. Ginsburgh & D. Throsby (ed.), 2006. "Handbook of the Economics of Art and Culture," Handbook of the Economics of Art and Culture, Elsevier, edition 1, volume 1, number 1, December.
    12. Lewbel, Arthur, 1985. "Bundling of substitutes or complements," International Journal of Industrial Organization, Elsevier, vol. 3(1), pages 101-107, March.
    13. Ibragimov, Rustam & Walden, Johan, 2007. "The limits of diversification when losses may be large," Scholarly Articles 2624460, Harvard University Department of Economics.
    14. R. Venkatesh & Wagner Kamakura, 2003. "Optimal Bundling and Pricing under a Monopoly: Contrasting Complements and Substitutes from Independently Valued Products," The Journal of Business, University of Chicago Press, vol. 76(2), pages 211-232, April.
    15. Xavier Gabaix, 2008. "Power Laws in Economics and Finance," NBER Working Papers 14299, National Bureau of Economic Research, Inc.
    16. An, Mark Yuying, 1995. "Logconcavity versus Logconvexity: A Complete Characterization," Working Papers 95-03, Duke University, Department of Economics.
    17. Donald W.K. Andrews, 2004. "Cross-section Regression with Common Shocks," Yale School of Management Working Papers ysm401, Yale School of Management.
    18. De Vany, Arthur S. & Walls, W. David, 2004. "Motion picture profit, the stable Paretian hypothesis, and the curse of the superstar," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1035-1057, March.
    19. Anindya Ghose & Arun Sundararajan, 2006. "Evaluating Pricing Strategy Using e-Commerce Data: Evidence and Estimation Challenges," Papers math/0609170, arXiv.org.
    20. Lorin M. Hitt & Pei-yu Chen, 2005. "Bundling with Customer Self-Selection: A Simple Approach to Bundling Low-Marginal-Cost Goods," Management Science, INFORMS, vol. 51(10), pages 1481-1493, October.
    21. repec:rje:randje:v:37:y:2006:i:4:p:946-963 is not listed on IDEAS
    22. De Vany, A. & Walls, W.D., 2000. "Does Hollywood make too many R-Rated Movies? Risk, Stochastic Dominance, and the Illusion of Expectation," Papers 99-00-24, California Irvine - School of Social Sciences.
    23. Salinger, Michael A, 1995. "A Graphical Analysis of Bundling," The Journal of Business, University of Chicago Press, vol. 68(1), pages 85-98, January.
    24. R. Preston McAfee & John McMillan & Michael D. Whinston, 1989. "Multiproduct Monopoly, Commodity Bundling, and Correlation of Values," The Quarterly Journal of Economics, Oxford University Press, vol. 104(2), pages 371-383.
    25. Schmalensee, Richard, 1984. "Gaussian Demand and Commodity Bundling," The Journal of Business, University of Chicago Press, vol. 57(1), pages S211-30, January.
    26. Gurumurthy Kalyanaram & William T. Robinson & Glen L. Urban, 1995. "Order of Market Entry: Established Empirical Generalizations, Emerging Empirical Generalizations, and Future Research," Marketing Science, INFORMS, vol. 14(3_supplem), pages G212-G221.
    27. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    28. Xavier Gabaix & Parameswaran Gopikrishnan & Vasiliki Plerou & H. Eugene Stanley, 2005. "Institutional Investors and Stock Market Volatility," NBER Working Papers 11722, National Bureau of Economic Research, Inc.
    29. Ibragimov, Rustam & Walden, Johan, 2007. "The limits of diversification when losses may be large," Journal of Banking & Finance, Elsevier, vol. 31(8), pages 2551-2569, August.
    30. Dansby, Robert E & Conrad, Cecilia, 1984. "Commodity Bundling," American Economic Review, American Economic Association, vol. 74(2), pages 377-81, May.
    31. Palfrey, Thomas R, 1983. "Bundling Decisions by a Multiproduct Monopolist with Incomplete Information," Econometrica, Econometric Society, vol. 51(2), pages 463-83, March.
    32. Praetz, Peter D, 1972. "The Distribution of Share Price Changes," The Journal of Business, University of Chicago Press, vol. 45(1), pages 49-55, January.
    33. Marie Connolly & Alan Krueger, 2005. "Rockonomics: The Economics of Popular Music," Working Papers 878, Princeton University, Department of Economics, Industrial Relations Section..
    34. Alan Collins & Chris Hand & Martin C. Snell, 2002. "What makes a blockbuster? Economic analysis of film success in the United Kingdom," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 23(6), pages 343-354.
    35. Erik Brynjolfsson & Yu (Jeffrey) Hu & Michael D. Smith, 2003. "Consumer Surplus in the Digital Economy: Estimating the Value of Increased Product Variety at Online Booksellers," Management Science, INFORMS, vol. 49(11), pages 1580-1596, November.
    36. Yannis Bakos & Erik Brynjolfsson, 1999. "Bundling Information Goods: Pricing, Profits, and Efficiency," Management Science, INFORMS, vol. 45(12), pages 1613-1630, December.
    37. Paul Glasserman & Philip Heidelberger & Perwez Shahabuddin, 2002. "Portfolio Value-at-Risk with Heavy-Tailed Risk Factors," Mathematical Finance, Wiley Blackwell, vol. 12(3), pages 239-269.
    38. Jehoshua Eliashberg & Anita Elberse & Mark A.A.M. Leenders, 2006. "The Motion Picture Industry: Critical Issues in Practice, Current Research, and New Research Directions," Marketing Science, INFORMS, vol. 25(6), pages 638-661, 11-12.
    39. repec:rim:rimwps:09-08 is not listed on IDEAS
    40. William James Adams & Janet L. Yellen, 1976. "Commodity Bundling and the Burden of Monopoly," The Quarterly Journal of Economics, Oxford University Press, vol. 90(3), pages 475-498.
    Full references (including those not matched with items on IDEAS)

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:56:y:2010:i:11:p:1963-1976. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mirko Janc)

    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 references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.

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

    This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.