IDEAS home Printed from https://ideas.repec.org/a/bla/ijethy/v17y2021i3p234-257.html
   My bibliography  Save this article

License and entry strategies for an outside innovator in Stackelberg duopoly with royalty and fixed fee under vertical differentiation

Author

Listed:
  • Masahiko Hattori
  • Yasuhito Tanaka

Abstract

We examine a choice of options for an outside innovating firm in Stackelberg duopoly under vertical differentiation. The options for an innovating firm are to enter the market with or without licensing its technology for producing a higher‐quality good by a combination of royalty and fixed license fee, and to license its technology without entry. When the innovating firm licenses its technology to the incumbent firm without entry, its optimal royalty rate is zero. When the innovating firm enters the market with a license to the incumbent firm, and the cost function is strictly concave, its optimal royalty rate is one such that the incumbent firm drops out of the market with a negative fixed license fee. If the cost function is strictly convex, there is an internal solution of the positive optimal royalty rate with positive or negative fixed license fee. Without entry cost, if the cost function is strictly concave, the entry without license and entry with license strategies are optimal, and if it is strictly convex, the entry with license strategy is optimal.

Suggested Citation

  • Masahiko Hattori & Yasuhito Tanaka, 2021. "License and entry strategies for an outside innovator in Stackelberg duopoly with royalty and fixed fee under vertical differentiation," International Journal of Economic Theory, The International Society for Economic Theory, vol. 17(3), pages 234-257, September.
    • Handle: RePEc:bla:ijethy:v:17:y:2021:i:3:p:234-257
    DOI: 10.1111/ijet.12219
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/ijet.12219
    Download Restriction: no
    File URL: https://libkey.io/10.1111/ijet.12219?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Masahiko Hattori & Yasuhito Tanaka, 2016. "Subsidizing New Technology Adoption in a Stackelberg Duopoly: Cases of Substitutes and Complements," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(2), pages 197-215, July.
    2. X. Henry Wang & Bill Z. Yang, 2004. "On Technology Licensing In A Stackelberg Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 43(4), pages 448-458, December.
    3. Bonanno, Giacomo & Haworth, Barry, 1998. "Intensity of competition and the choice between product and process innovation," International Journal of Industrial Organization, Elsevier, vol. 16(4), pages 495-510, July.
    4. Morton I. Kamien & Yair Tauman, 1986. "Fees Versus Royalties and the Private Value of a Patent," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(3), pages 471-491.
    5. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    6. Michael L. Katz & Carl Shapiro, 1985. "On the Licensing of Innovations," RAND Journal of Economics, The RAND Corporation, vol. 16(4), pages 504-520, Winter.
    7. Anne Duchêne & Debapriya Sen & Konstantinos Serfes, 2015. "Patent Licensing and Entry Deterrence: The Role of Low Royalties," Economica, London School of Economics and Political Science, vol. 82, pages 1324-1348, December.
    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. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Royalty and license fee under vertical differentiation in oligopoly with or without entry of innovator: Two-step auction," MPRA Paper 78859, University Library of Munich, Germany.
    2. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License and entry strategies for an outside innovator in duopoly with combination of royalty and fixed fee under vertical differentiation," MPRA Paper 78856, University Library of Munich, Germany.
    3. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Vertical differentiation in oligopoly and license fees when outside innovator can enter the market: Two-step auction," MPRA Paper 78987, University Library of Munich, Germany.
    4. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License and entry decision for innovating firm in international duopoly under vertical differentiation," MPRA Paper 78995, University Library of Munich, Germany.
    5. Masahiko Hattori & Yasuhito Tanaka, 2018. "License and Entry Strategies for an Outside Innovator Under Duopoly with Combination of Royalty and Fixed Fee," Journal of Industry, Competition and Trade, Springer, vol. 18(4), pages 485-502, December.
    6. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License and entry strategies for outside innovator in duopoly," MPRA Paper 76444, University Library of Munich, Germany.
    7. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Royalty and license fee under oligopoly with or without entry of innovator: Two-step auction," MPRA Paper 78858, University Library of Munich, Germany.
    8. Masahiko Hattori & Yasuhito Tanaka, 2016. "License or entry with vertical differentiation in duopoly," Economics and Business Letters, Oviedo University Press, vol. 5(1), pages 17-29.
    9. Hattori, Masahiko & Tanaka, Yasuhito, 2016. "License or entry in oligopoly," MPRA Paper 73547, University Library of Munich, Germany.
    10. Masahiko Hattori & Yasuhito Tanaka, 2020. "License Fees in Oligopoly When Outside Innovator can Enter the Market: Two-Step Auction," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(03), pages 1-15, September.
    11. Masahiko Hattori & Yasuhito Tanaka, 2018. "License and Entry Strategies for an Outside Innovator Under Duopoly," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 4(1), pages 135-152, March.
    12. Masahiko Hattori & Yasuhito Tanaka, 2020. "Entry of Innovator and License in Oligopoly," Journal of Industry, Competition and Trade, Springer, vol. 20(4), pages 709-731, December.
    13. Masahiko Hattori & Yasuhito Tanaka, 2017. "License or Entry in Duopoly with Quality Improving Innovation: Alternative Definitions of License Fee," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 13(1), pages 1-26, February.
    14. Carlo Capuano & Iacopo Grassi, 2019. "Imperfect patent protection, licensing, and Social Welfare," Economics Bulletin, AccessEcon, vol. 39(4), pages 2639-2649.
    15. Masahiko Hattori & Yasuhito Tanaka, 2016. "Subsidizing New Technology Adoption in a Stackelberg Duopoly: Cases of Substitutes and Complements," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(2), pages 197-215, July.
    16. Masahiko Hattori & Yasuhito Tanaka, 2016. "Taxation or Subsidization Policy for New Technology Adoption in Oligopoly," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 15(2), pages 161-172, December.
    17. Masahiko Hattori & Yasuhito Tanaka, 2017. "Competitiveness and Subsidy or Tax Policy for New Technology Adoption in Duopoly," Global Economic Review, Taylor & Francis Journals, vol. 46(1), pages 18-32, January.
    18. Luigi Filippini, 2005. "Licensing Contract In A Stackelberg Model," Manchester School, University of Manchester, vol. 73(5), pages 582-598, September.
    19. Junghee Lee & Vish Krishnan & Hyoduk Shin, 2020. "Business Models for Technology-Intensive Supply Chains," Management Science, INFORMS, vol. 66(5), pages 2120-2139, May.
    20. Siyu Ma & Debapriya Sen & Yair Tauman, 2024. "Optimal patent licensing: from three to two part tariffs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 78(4), pages 1233-1273, December.

    More about this item

    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:bla:ijethy:v:17:y:2021:i:3:p:234-257. 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: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=1742-7355 .

    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.