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Bundling decisions for selling multiple objects

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  • Indranil Chakraborty

    () (Department of Business Administration, ITAM Rio Hondo No.1, Col. Tizapan-San Angel, 01000 Mexico, D.F., MEXICO)

Abstract

Auctioneers often face the decision of whether to bundle two or more different objects before selling them. Under a Vickrey auction (or any other revenue equivalent auction form) there is a unique critical number for each pair of objects such that when the number of bidders is fewer than that critical number the seller strictly prefers a bundled sale and when there are more bidders the seller prefers unbundled sales. This property holds even when the valuations for the objects are correlated for a given bidder. The results have been proved using a mathematical technique of quantiles that can be extremely useful for similar analysis.

Suggested Citation

  • 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.
  • Handle: RePEc:spr:joecth:v:13:y:1999:i:3:p:723-733
    Note: Received: November 5, 1996; revised version: January 21, 1998
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    Citations

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    Cited by:

    1. Jehiel, Philippe & Meyer-ter-Vehn, Moritz & Moldovanu, Benny, 2007. "Mixed bundling auctions," Journal of Economic Theory, Elsevier, vol. 134(1), pages 494-512, May.
    2. Chow, YuenLeng & Yavas, Abdullah, 2008. "Auctions with Positive Synergies: Experimental Evidence," MPRA Paper 12669, University Library of Munich, Germany.
    3. Rustam Ibragimov & Johan Walden, 2010. "Optimal Bundling Strategies Under Heavy-Tailed Valuations," Management Science, INFORMS, vol. 56(11), pages 1963-1976, November.
    4. Jehiel, Philippe & Moldovanu, Benny, 2005. "Allocative and Informational Externalities in Auctions and Related Mechanisms," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 142, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    5. Pagnozzi, Marco, 2009. "Resale and bundling in auctions," International Journal of Industrial Organization, Elsevier, vol. 27(6), pages 667-678, November.
    6. Amar Cheema & Peter Leszczyc & Rajesh Bagchi & Richard Bagozzi & James Cox & Utpal Dholakia & Eric Greenleaf & Amit Pazgal & Michael Rothkopf & Michael Shen & Shyam Sunder & Robert Zeithammer, 2005. "Economics, Psychology, and Social Dynamics of Consumer Bidding in Auctions," Marketing Letters, Springer, vol. 16(3), pages 401-413, December.
    7. Luca Corazzini & Stefano Galavotti & Rupert Sausgruber & Paola Valbonesi, 2017. "Allotment in first-price auctions: an experimental investigation," Experimental Economics, Springer;Economic Science Association, vol. 20(1), pages 70-99, March.
    8. Nöldeke, Georg & Peña, Jorge, 2016. "The symmetric equilibria of symmetric voter participation games with complete information," Games and Economic Behavior, Elsevier, vol. 99(C), pages 71-81.
    9. Dejan Trifunović & Bojan Ristić, 2013. "Multi-Unit Auctions In The Procurement Of Electricity," Economic Annals, Faculty of Economics, University of Belgrade, vol. 58(197), pages 47-78, April – J.
    10. Nöldeke, Georg & Peña, Jorge, 2015. "The symmetric equilibria of symmetric voter participation games with complete information," Working papers 2015/08, Faculty of Business and Economics - University of Basel.
    11. repec:eee:ecolet:v:163:y:2018:i:c:p:141-145 is not listed on IDEAS
    12. Chakraborty, Indranil, 2006. "Bundle and separate sales in auctions with entry," Games and Economic Behavior, Elsevier, vol. 54(1), pages 31-46, January.
    13. Zhou, Jidong, 2015. "Competitive Bundling," MPRA Paper 68358, University Library of Munich, Germany.
    14. Lorentziadis, Panos L., 2016. "Optimal bidding in auctions from a game theory perspective," European Journal of Operational Research, Elsevier, vol. 248(2), pages 347-371.
    15. Brendstrup, Bjarne & Paarsch, Harry J., 2007. "Semiparametric identification and estimation in multi-object, English auctions," Journal of Econometrics, Elsevier, vol. 141(1), pages 84-108, November.
    16. Miravete, Eugenio J., 2011. "Convolution and composition of totally positive random variables in economics," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 479-490.
    17. Dassiou, Xeni & Glycopantis, Dionysius, 2008. "Price discrimination through transactions bundling: The case of monopsony," Journal of Mathematical Economics, Elsevier, vol. 44(7-8), pages 672-681, July.
    18. Li, Sanxi & Sun, Hailin & Yan, Jianye & Yu, Jun, 2015. "Bundling decisions in procurement auctions with sequential tasks," Journal of Public Economics, Elsevier, vol. 128(C), pages 96-106.
    19. Simon Board, 2009. "Revealing information in auctions: the allocation effect," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 125-135, January.
    20. Rustam Ibragimov, 2004. "Shifting paradigms: on the robustness of economic models to heavy-tailedness assumptions," Econometric Society 2004 Latin American Meetings 105, Econometric Society.
    21. Chakraborty, Indranil & Shyamalkumar, Nariankadu D., 2014. "Revenue and efficiency ranking in large multi-unit and bundle auctions," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 12-21.
    22. Kittsteiner, Thomas & Ott, Marion & Steinberg, Richard, 2017. "Competing Combinatorial Auctions," EconStor Preprints 171995, ZBW - German National Library of Economics.
    23. Ramanathan Subramaniam & R. Venkatesh, 2009. "Optimal Bundling Strategies in Multiobject Auctions of Complements or Substitutes," Marketing Science, INFORMS, vol. 28(2), pages 264-273, 03-04.

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    Keywords

    Auctions Bundling. ·;

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