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On the optimality of pure bundling for a monopolist

Author

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  • Menicucci, Domenico
  • Hurkens, Sjaak
  • Jeon, Doh-Shin
Abstract
This paper considers a monopolist selling two objects to a single buyer with privately observed valuations. We prove that if the virtual valuation for each object is non-negative for all possible types, then the optimal price schedule is such that the objects are sold only in a bundle. Under an additional regularity condition, pure bundling is the optimal sale mechanism among all individually rational and incentive compatible mechanisms.

Suggested Citation

  • Menicucci, Domenico & Hurkens, Sjaak & Jeon, Doh-Shin, 2015. "On the optimality of pure bundling for a monopolist," Journal of Mathematical Economics, Elsevier, vol. 60(C), pages 33-42.
    • Handle: RePEc:eee:mateco:v:60:y:2015:i:c:p:33-42
    DOI: 10.1016/j.jmateco.2015.06.011
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    References listed on IDEAS

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    9. Manelli, Alejandro M. & Vincent, Daniel R., 2006. "Bundling as an optimal selling mechanism for a multiple-good monopolist," Journal of Economic Theory, Elsevier, vol. 127(1), pages 1-35, March.
    10. Sergiu Hart & Noam Nisan, 2014. "How Good Are Simple Mechanisms for Selling Multiple Goods?," Discussion Paper Series dp666, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    11. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
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    Cited by:

    1. Jeon, Doh-Shin & Menicucci, Domenico & Nasr, Nikrooz, 2016. "Compatibility Choices, Switching Costs and Data Portability: On the Role of the Non-Negative Pricing Constraint," TSE Working Papers 16-691, Toulouse School of Economics (TSE), revised Aug 2020.
    2. Saeed Alaei & Ali Makhdoumi & Azarakhsh Malekian & Saša Pekeč, 2022. "Revenue-Sharing Allocation Strategies for Two-Sided Media Platforms: Pro-Rata vs. User-Centric," Management Science, INFORMS, vol. 68(12), pages 8699-8721, December.
    3. Bikhchandani, Sushil & Mishra, Debasis, 2022. "Selling two identical objects," Journal of Economic Theory, Elsevier, vol. 200(C).
    4. Hernando, Andres & Villena, Mauricio & Apablaza, Valentina, 2023. "Optimal Bidding for a Bundle of Power Transmission Infrastructure Works," MPRA Paper 120849, University Library of Munich, Germany, revised 30 Apr 2024.
    5. Mark Armstrong, 2016. "Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 583-614, October.
    6. Hart, Sergiu & Nisan, Noam, 2017. "Approximate revenue maximization with multiple items," Journal of Economic Theory, Elsevier, vol. 172(C), pages 313-347.
    7. Tang, Pingzhong & Wang, Zihe, 2017. "Optimal mechanisms with simple menus," Journal of Mathematical Economics, Elsevier, vol. 69(C), pages 54-70.
    8. Jeon, Doh-Shin & Hurkens, Sjaak & Menicucci, Domenico, 2016. "Leveraging Dominance with Credible Bundling," CEPR Discussion Papers 11304, C.E.P.R. Discussion Papers.
    9. Jian Pei, 2020. "A Survey on Data Pricing: from Economics to Data Science," Papers 2009.04462, arXiv.org, revised Nov 2020.
    10. Yeon-Koo Che & Weijie Zhong, 2021. "Robustly Optimal Mechanisms for Selling Multiple Goods," Papers 2105.02828, arXiv.org, revised Aug 2024.
    11. Hart, Sergiu & Nisan, Noam, 2019. "Selling multiple correlated goods: Revenue maximization and menu-size complexity," Journal of Economic Theory, Elsevier, vol. 183(C), pages 991-1029.
    12. Soheil Ghili, 2021. "A Characterization for Optimal Bundling of Products with Non-Additive Values," Papers 2101.11532, arXiv.org, revised Apr 2022.

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    More about this item

    Keywords

    Monopoly pricing; Price discrimination; Multi-dimensional mechanism design; Pure bundling;
    All these keywords.

    JEL classification:

    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms

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