IDEAS home Printed from https://ideas.repec.org/p/cpr/ceprdp/10324.html
   My bibliography  Save this paper

Product Line Design

Author

Listed:
  • Anderson, Simon
  • Celik, Levent

Abstract

We characterize the product line choice and pricing of a monopolist as the upper envelope of net marginal revenue curves to the individual product demand functions. The equilibrium product varieties to include in a product line are those yielding the highest upper envelope. In a central case (corresponding to a generalized vertical differentiation framework), the equilibrium range of varieties is exactly the same as the first-best socially optimal range. These upper envelope and first-best optimal range findings extend to a symmetric Cournot oligopoly as well.

Suggested Citation

  • Anderson, Simon & Celik, Levent, 2014. "Product Line Design," CEPR Discussion Papers 10324, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:10324
    as

    Download full text from publisher

    File URL: https://cepr.org/publications/DP10324
    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 look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Justin P. Johnson & David P. Myatt, 2003. "Multiproduct Quality Competition: Fighting Brands and Product Line Pruning," American Economic Review, American Economic Association, vol. 93(3), pages 748-774, June.
    2. Johnson, Justin P. & Myatt, David P., 2015. "The properties of product line prices," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 182-188.
    3. Armstrong, Mark & Vickers, John, 2001. "Competitive Price Discrimination," RAND Journal of Economics, The RAND Corporation, vol. 32(4), pages 579-605, Winter.
    4. Liang Guo & Juanjuan Zhang, 2012. "Consumer Deliberation and Product Line Design," Marketing Science, INFORMS, vol. 31(6), pages 995-1007, November.
    5. Anderson, Simon P. & Renault, Regis, 2003. "Efficiency and surplus bounds in Cournot competition," Journal of Economic Theory, Elsevier, vol. 113(2), pages 253-264, December.
    6. Justin P. Johnson & David P. Myatt, 2006. "Multiproduct Cournot oligopoly," RAND Journal of Economics, RAND Corporation, vol. 37(3), pages 583-601, September.
    7. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(1), pages 277-311.
    8. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    9. Mark Armstrong, 1999. "Price Discrimination by a Many-Product Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 151-168.
    10. Simon Cowan, 2012. "Third-Degree Price Discrimination and Consumer Surplus," Journal of Industrial Economics, Wiley Blackwell, vol. 60(2), pages 333-345, June.
    11. Armstrong, Mark, 1996. "Multiproduct Nonlinear Pricing," Econometrica, Econometric Society, vol. 64(1), pages 51-75, January.
    12. J. Miguel Villas-Boas, 1998. "Product Line Design for a Distribution Channel," Marketing Science, INFORMS, vol. 17(2), pages 156-169.
    13. Iñaki Aguirre & Simon Cowan & John Vickers, 2010. "Monopoly Price Discrimination and Demand Curvature," American Economic Review, American Economic Association, vol. 100(4), pages 1601-1615, September.
    14. Armstrong, Mark, 2013. "A more general theory of commodity bundling," Journal of Economic Theory, Elsevier, vol. 148(2), pages 448-472.
    15. Caplin, Andrew & Nalebuff, Barry, 1991. "Aggregation and Imperfect Competition: On the Existence of Equilibrium," Econometrica, Econometric Society, vol. 59(1), pages 25-59, January.
    16. Jean-Charles Rochet & Philippe Chone, 1998. "Ironing, Sweeping, and Multidimensional Screening," Econometrica, Econometric Society, vol. 66(4), pages 783-826, July.
    17. Anderson, Simon P. & Celik, Levent, 2015. "Product line design," Journal of Economic Theory, Elsevier, vol. 157(C), pages 517-526.
    18. Yunchuan Liu & Tony Haitao Cui, 2010. "The Length of Product Line in Distribution Channels," Marketing Science, INFORMS, vol. 29(3), pages 474-482, 05-06.
    19. Eric Maskin & John Riley, 1984. "Monopoly with Incomplete Information," RAND Journal of Economics, The RAND Corporation, vol. 15(2), pages 171-196, Summer.
    20. Itoh, Motoshige, 1983. "Monopoly, product differentiation and economic welfare," Journal of Economic Theory, Elsevier, vol. 31(1), pages 88-104, October.
    21. Eric T. Anderson & James D. Dana, Jr., 2009. "When Is Price Discrimination Profitable?," Management Science, INFORMS, vol. 55(6), pages 980-989, June.
    22. K. Sridhar Moorthy, 1984. "Market Segmentation, Self-Selection, and Product Line Design," Marketing Science, INFORMS, vol. 3(4), pages 288-307.
    23. A. Ye(scedilla)im Orhun, 2009. "Optimal Product Line Design When Consumers Exhibit Choice Set-Dependent Preferences," Marketing Science, INFORMS, vol. 28(5), pages 868-886, 09-10.
    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. Justin P. Johnson & David P. Myatt, 2018. "The determinants of product lines," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 541-573, September.
    2. Carlos Segura-Rodriguez, 2019. "Selling Data," PIER Working Paper Archive 19-006, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    3. Justin P. Johnson & Andrew Rhodes, 2021. "Multiproduct mergers and quality competition," RAND Journal of Economics, RAND Corporation, vol. 52(3), pages 633-661, September.
    4. Wei Qi & Xinggang Luo & Xuwang Liu & Yang Yu & Zhongliang Zhang, 2019. "Product Line Pricing under Marginal Moment Model with Network Effect," Complexity, Hindawi, vol. 2019, pages 1-13, February.
    5. Zijun (June) Shi & Kaifu Zhang & Kannan Srinivasan, 2019. "Freemium as an Optimal Strategy for Market Dominant Firms," Marketing Science, INFORMS, vol. 38(1), pages 150-169, January.
    6. Johnson, Justin P. & Myatt, David P., 2015. "The properties of product line prices," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 182-188.
    7. Anderson, Simon P. & Celik, Levent, 2020. "Opaque selling," Information Economics and Policy, Elsevier, vol. 52(C).
    8. Winston W. Chang & Tai-Liang Chen, 2018. "A Pedagogical Note on Multitier Pricing Scheme," The American Economist, Sage Publications, vol. 63(2), pages 228-244, October.
    9. Anderson, Simon P. & Celik, Levent, 2015. "Product line design," Journal of Economic Theory, Elsevier, vol. 157(C), pages 517-526.
    10. Skreta, Vasiliki & Doval, Laura, 2021. "Purchase history and product personalization," CEPR Discussion Papers 15969, C.E.P.R. Discussion Papers.
    11. Steven M. Shugan & Jihwan Moon & JQiaoni Shi & Nanda S. Kumar, 2017. "Product Line Bundling: Why Airlines Bundle High-End While Hotels Bundle Low-End," Marketing Science, INFORMS, vol. 36(1), pages 124-139, January.
    12. Ji, Xiang & Wu, Jie & Liang, Liang & Zhu, Qingyuan, 2018. "The impacts of public sustainability concerns on length of product line," European Journal of Operational Research, Elsevier, vol. 269(1), pages 16-23.

    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. Mark Armstrong, 2016. "Nonlinear Pricing," Annual Review of Economics, Annual Reviews, vol. 8(1), pages 583-614, October.
    2. Justin P. Johnson & David P. Myatt, 2018. "The determinants of product lines," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 541-573, September.
    3. Johnson, Justin P. & Myatt, David P., 2015. "The properties of product line prices," International Journal of Industrial Organization, Elsevier, vol. 43(C), pages 182-188.
    4. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, January.
    5. Tang, Yao & Chen, Rachel R. & Guan, Xu, 2021. "Daily-deal market with consumer retention: Price discrimination or quality differentiation," Omega, Elsevier, vol. 102(C).
    6. Ji, Xiang & Wu, Jie & Liang, Liang & Zhu, Qingyuan, 2018. "The impacts of public sustainability concerns on length of product line," European Journal of Operational Research, Elsevier, vol. 269(1), pages 16-23.
    7. Stole, Lars A., 2007. "Price Discrimination and Competition," Handbook of Industrial Organization, in: Mark Armstrong & Robert Porter (ed.), Handbook of Industrial Organization, edition 1, volume 3, chapter 34, pages 2221-2299, Elsevier.
    8. McAfee, R. Preston, 2007. "Pricing Damaged Goods," Economics - The Open-Access, Open-Assessment E-Journal (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 1, pages 1-19.
    9. Xiao Huang & Dan Zhang, 2020. "Service Product Design and Consumer Refund Policies," Marketing Science, INFORMS, vol. 39(2), pages 366-381, March.
    10. Bing Jing, 2006. "On the Profitability of Firms in a Differentiated Industry," Marketing Science, INFORMS, vol. 25(3), pages 248-259, 05-06.
    11. Yossi Spiegel & Simon Wilkie, 2000. "Optimal Multiproduct Nonlinear Pricing with Correlated Consumer Types," Discussion Papers 1299, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    12. Jian Shen & Huanxing Yang & Lixin Ye, 2016. "Competitive Nonlinear Pricing and Contract Variety," Journal of Industrial Economics, Wiley Blackwell, vol. 64(1), pages 64-108, March.
    13. Steven M. Shugan & Jihwan Moon & JQiaoni Shi & Nanda S. Kumar, 2017. "Product Line Bundling: Why Airlines Bundle High-End While Hotels Bundle Low-End," Marketing Science, INFORMS, vol. 36(1), pages 124-139, January.
    14. Yao Luo & Isabelle Perrigne & Quang Vuong, 2018. "Structural Analysis of Nonlinear Pricing," Journal of Political Economy, University of Chicago Press, vol. 126(6), pages 2523-2568.
    15. Miravete, Eugenio & Seim, Katja & Thurk, Jeff, 2013. "Complexity, Efficiency, and Fairness of Multi-Product Monopoly Pricing," CEPR Discussion Papers 9641, C.E.P.R. Discussion Papers.
    16. Soheil Ghili & Russ Yoon, 2023. "An Empirical Analysis of Optimal Nonlinear Pricing," Papers 2302.11643, arXiv.org, revised Oct 2023.
    17. Paulo Barelli & Suren Basov & Mauricio Bugarin & Ian King, 2012. "The Robustness of Exclusion in Multi-dimensional Screening," RCER Working Papers 571, University of Rochester - Center for Economic Research (RCER).
    18. Dirk Bergemann & Ji Shen & Yun Xu & Edmund M. Yeh, 2012. "Multi-Dimensional Mechanism Design with Limited Information," Levine's Working Paper Archive 786969000000000559, David K. Levine.
    19. Han, Jun & Weber, Thomas A., 2023. "Price discrimination with robust beliefs," European Journal of Operational Research, Elsevier, vol. 306(2), pages 795-809.
    20. Maxim Sinitsyn, 2016. "Managing Price Promotions Within a Product Line," Marketing Science, INFORMS, vol. 35(2), pages 304-318, March.

    More about this item

    Keywords

    Product line design; Product differentiation; Second-degree price discrimination; Product line pricing; Cournot multi-product competition;
    All these keywords.

    JEL classification:

    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L15 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Information and Product Quality

    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:10324. 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.