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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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. Debapriya Sen & Giorgos Stamatopoulos, 2009. "Technology Transfer Under Returns To Scale," Manchester School, University of Manchester, vol. 77(3), pages 337-365, June.
    5. Morton I. Kamien & Yair Tauman, 1986. "Fees Versus Royalties and the Private Value of a Patent," The Quarterly Journal of Economics, Oxford University Press, vol. 101(3), pages 471-491.
    6. repec:ebl:ecbull:v:12:y:2008:i:5:p:1-7 is not listed on IDEAS
    7. 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.
    8. 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.
    9. 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.
    10. Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    11. Luigi Filippini, 2005. "Licensing Contract In A Stackelberg Model," Manchester School, University of Manchester, vol. 73(5), pages 582-598, September.
    12. Sen, Debapriya & Stamatopoulos, Giorgos, 2016. "Licensing under general demand and cost functions," European Journal of Operational Research, Elsevier, vol. 253(3), pages 673-680.
    13. Marco Alderighi, 2008. "On the Optimality of Patent Licensing with Maximum Production Volume," Economics Bulletin, AccessEcon, vol. 12(5), pages 1-7.
    14. Wang, X. Henry, 1998. "Fee versus royalty licensing in a Cournot duopoly model," Economics Letters, Elsevier, vol. 60(1), pages 55-62, July.
    15. 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.
    16. 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.
    17. Zoltan Acs & David Audretsch, 1990. "Innovation and Small Firms," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011131, December.
    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.
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    Citations

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    Cited by:

    1. Sun, Chia-Hung, 2023. "Timing of technology adoption in the presence of patent licensing," Economic Modelling, Elsevier, vol. 127(C).

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    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

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