IDEAS home Printed from https://ideas.repec.org/a/kap/revind/v62y2023i1d10.1007_s11151-022-09886-7.html
   My bibliography  Save this article

Patent Licensing and Capacity in a Cournot Model

Author

Listed:
  • Stefano Colombo

    (Università Cattolica del Sacro Cuore)

  • Luigi Filippini

    (Università Cattolica del Sacro Cuore)

  • Debapriya Sen

    (Ryerson University)

Abstract

We consider the problem of patent licensing in a Cournot duopoly in which the innovator (patentee) is one of the firms and it is capacity constrained. We show that when the patentee can produce a relatively small (relatively large) quantity, it prefers licensing by means of a fixed fee (unit royalty). When the patentee can set two-part tariffs in the form of combinations of fixed fees and unit royalties, it charges a positive fixed fee if and only if it is limited to producing a relatively small quantity. We also show that with combinations of fixed fees and royalties, the royalty rate is lower than is true for the standard case.

Suggested Citation

  • Stefano Colombo & Luigi Filippini & Debapriya Sen, 2023. "Patent Licensing and Capacity in a Cournot Model," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 62(1), pages 45-62, February.
    • Handle: RePEc:kap:revind:v:62:y:2023:i:1:d:10.1007_s11151-022-09886-7
    DOI: 10.1007/s11151-022-09886-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s11151-022-09886-7
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11151-022-09886-7?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Matt Marx & Joshua S. Gans & David H. Hsu, 2014. "Dynamic Commercialization Strategies for Disruptive Technologies: Evidence from the Speech Recognition Industry," Management Science, INFORMS, vol. 60(12), pages 3103-3123, December.
    2. Stefano Colombo & Siyu Ma & Debapriya Sen & Yair Tauman, 2021. "Equivalence between fixed fee and ad valorem profit royalty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(5), pages 1052-1073, October.
    3. Sen, Debapriya & Tauman, Yair, 2007. "General licensing schemes for a cost-reducing innovation," Games and Economic Behavior, Elsevier, vol. 59(1), pages 163-186, April.
    4. Shin Kishimoto & Shigeo Muto, 2012. "Fee Versus Royalty Policy In Licensing Through Bargaining: An Application Of The Nash Bargaining Solution," Bulletin of Economic Research, Wiley Blackwell, vol. 64(2), pages 293-304, April.
    5. Luigi Filippini, 2005. "Licensing Contract In A Stackelberg Model," Manchester School, University of Manchester, vol. 73(5), pages 582-598, September.
    6. Sen, Debapriya & Stamatopoulos, Giorgos, 2016. "Licensing under general demand and cost functions," European Journal of Operational Research, Elsevier, vol. 253(3), pages 673-680.
    7. Marco Alderighi, 2008. "On the Optimality of Patent Licensing with Maximum Production Volume," Economics Bulletin, AccessEcon, vol. 12(5), pages 1-7.
    8. Wang, X. Henry, 1998. "Fee versus royalty licensing in a Cournot duopoly model," Economics Letters, Elsevier, vol. 60(1), pages 55-62, July.
    9. Naoki Watanabe & Shigeo Muto, 2008. "Stable profit sharing in a patent licensing game: general bargaining outcomes," International Journal of Game Theory, Springer;Game Theory Society, vol. 37(4), pages 505-523, December.
    10. Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    11. Debapriya Sen & Giorgos Stamatopoulos, 2009. "Technology Transfer Under Returns To Scale," Manchester School, University of Manchester, vol. 77(3), pages 337-365, June.
    12. 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.
    13. repec:ebl:ecbull:v:12:y:2008:i:5:p:1-7 is not listed on IDEAS
    14. Kenneth Arrow, 1962. "Economic Welfare and the Allocation of Resources for Invention," NBER Chapters, in: The Rate and Direction of Inventive Activity: Economic and Social Factors, pages 609-626, National Bureau of Economic Research, Inc.
    15. Debapriya Sen & Giorgos Stamatopoulos, 2019. "Decreasing Returns, Patent Licensing, and Price-Reducing Taxes," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 175(2), pages 291-307.
    16. Aniruddha Bagchi & Arijit Mukherjee, 2011. "Commitment and excess capacity with licensing: an old debate with a new look," Journal of Economics, Springer, vol. 103(2), pages 133-147, June.
    17. Zoltan Acs & David Audretsch, 1990. "Innovation and Small Firms," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011131, April.
    18. Pavitt, Keith & Robson, Michael & Townsend, Joe, 1987. "The Size Distribution of Innovating Firms in the UK: 1945-1983," Journal of Industrial Economics, Wiley Blackwell, vol. 35(3), pages 297-316, March.
    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. Luca Sandrini, 2024. "Price Versus Market Share with Royalty Licensing: Incomplete Adoption of a Superior Technology with Heterogeneous Firms," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 64(2), pages 243-265, March.
    2. Sun, Chia-Hung, 2023. "Timing of technology adoption in the presence of patent licensing," Economic Modelling, Elsevier, vol. 127(C).

    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. Colombo, Stefano & Filippini, Luigi & Sen, Debapriya, 2020. "Licensing with capacity constraint," MPRA Paper 102653, University Library of Munich, Germany.
    2. Sen, Debapriya & Tauman, Yair, 2018. "Patent licensing in a Cournot oligopoly: General results," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 37-48.
    3. Sudipto Bhattacharya & Claude d’Aspremont & Sergei Guriev & Debapriya Sen & Yair Tauman, 2014. "Cooperation in R&D: Patenting, Licensing, and Contracting," International Series in Operations Research & Management Science, in: Kalyan Chatterjee & William Samuelson (ed.), Game Theory and Business Applications, edition 2, chapter 0, pages 265-286, Springer.
    4. Stefano Colombo & Luigi Filippini, 2016. "Revenue royalties," Journal of Economics, Springer, vol. 118(1), pages 47-76, May.
    5. Yair Tauman & Debrapiya Sen, 2012. "Patents and Licenses," Department of Economics Working Papers 12-05, Stony Brook University, Department of Economics.
    6. Ma, Siyu & Sen, Debapriya & Tauman, Yair, 2022. "Optimal patent licensing: from three to two part tariffs," MPRA Paper 111624, University Library of Munich, Germany.
    7. Yan, Qingyou & Yang, Le, 2018. "Optimal licensing in a differentiated Bertrand market under uncertain R&D outcomes and technology spillover," Economic Modelling, Elsevier, vol. 68(C), pages 117-126.
    8. Sun, Chia-Hung, 2023. "Timing of technology adoption in the presence of patent licensing," Economic Modelling, Elsevier, vol. 127(C).
    9. Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    10. Giorgos Stamatopoulos, 2008. "On the possibility of licensing in a market with logit demand functions," Economics Bulletin, AccessEcon, vol. 4(17), pages 1-11.
    11. Wang, Kuang-Cheng Andy & Liang, Wen-Jung & Chou, Pin-Shu, 2013. "Patent licensing under cost asymmetry among firms," Economic Modelling, Elsevier, vol. 31(C), pages 297-307.
    12. Kishimoto, Shin, 2013. "Stable bargaining outcomes in patent licensing: A cooperative game approach without side payments," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 183-195.
    13. Sen, Debapriya & Stamatopoulos, Giorgos, 2016. "Licensing under general demand and cost functions," European Journal of Operational Research, Elsevier, vol. 253(3), pages 673-680.
    14. Stefano Colombo & Siyu Ma & Debapriya Sen & Yair Tauman, 2021. "Equivalence between fixed fee and ad valorem profit royalty," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(5), pages 1052-1073, October.
    15. Arijit Mukherjee & Yingyi Tsai, 2013. "Technology licensing under optimal tax policy," Journal of Economics, Springer, vol. 108(3), pages 231-247, April.
    16. Nakada, Satoshi & Shirakawa, Ryo, 2023. "On the core of a patent licensing game," Economics Letters, Elsevier, vol. 233(C).
    17. Zhang, Huaige & Wang, Xuejun & Qing, Ping & Hong, Xianpei, 2016. "Optimal licensing of uncertain patents in a differentiated Stackelberg duopolistic competition market," International Review of Economics & Finance, Elsevier, vol. 45(C), pages 215-229.
    18. repec:ebl:ecbull:v:4:y:2008:i:17:p:1-11 is not listed on IDEAS
    19. Ana Mauleon & Vincent Vannetelbosch & Cecilia Vergari, 2013. "Bargaining and delay in patent licensing," International Journal of Economic Theory, The International Society for Economic Theory, vol. 9(4), pages 279-302, December.
    20. Hattori, Masahiko & Tanaka, Yasuhito, 2016. "License or entry in oligopoly," MPRA Paper 73547, University Library of Munich, Germany.
    21. Toshihiro Matsumura & Noriaki Matsushima, 2010. "Patent licensing, bargaining, and product positioning," ISER Discussion Paper 0775, Institute of Social and Economic Research, Osaka University.

    More about this item

    Keywords

    Patent licensing; Cournot duopoly; Capacity constraint;
    All these keywords.

    JEL classification:

    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing

    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:kap:revind:v:62:y:2023:i:1:d:10.1007_s11151-022-09886-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.