IDEAS home Printed from https://ideas.repec.org/a/bla/manchs/v83y2015i1p1-16.html
   My bibliography  Save this article

Patent Licensing with Bertrand Competitors

Author

Listed:
  • Stefano Colombo
  • Luigi Filippini

Abstract

type="main"> This paper analyses an optimal two-part licensing scheme based on ad valorem royalties within a differentiated Bertrand duopoly where the innovator is also the downstream producer, and compares it with the optimal two-part per-unit royalty mechanism. After showing that the optimal two-part ad valorem licensing scheme reduces to a pure ad valorem royalty scheme, we show that per-unit contracts are typically preferred to ad valorem contracts by the patentee, as, under price competition, the per-unit royalty has a stronger strategic effect than the ad valorem royalty. In contrast, welfare is higher under the ad valorem contract than under the per-unit mechanism.

Suggested Citation

  • Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    • Handle: RePEc:bla:manchs:v:83:y:2015:i:1:p:1-16
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/manc.12050
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    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. Stefano Colombo & Luigi Filippini, 2013. "Fee versus royalty licensing in a Cournot duopoly model with a commitment of no production," Economics Bulletin, AccessEcon, vol. 33(3), pages 2122-2128.
    2. Giulia Trombini & Anna Comacchio, 2012. "Cooperative Markets for Ideas: When does Technology Licensing Combine with R&D Partnerships?," Working Papers 8, Department of Management, Università Ca' Foscari Venezia.
    3. X. H. Wang & Bill Z. Yang, 1999. "On Licensing Under Bertrand Competition," Australian Economic Papers, Wiley Blackwell, vol. 38(2), pages 106-119, June.
    4. Sougata Poddar & Uday Bhanu Sinha, 2004. "On Patent Licensing in Spatial Competition," The Economic Record, The Economic Society of Australia, vol. 80(249), pages 208-218, June.
    5. Giebe, Thomas & Wolfstetter, Elmar, 2008. "License auctions with royalty contracts for (winners and) losers," Games and Economic Behavior, Elsevier, vol. 63(1), pages 91-106, May.
    6. 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.
    7. Mariko Sakakibara, 2010. "An empirical analysis of pricing in patent licensing contracts," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 19(3), pages 927-945, June.
    8. Gianluca Femminis & Gianmaria Martini, 2010. "Spillovers, Disclosure Lags, and Incentives to Innovate: Do Oligopolies Over-Invest in R&D?," Rivista Internazionale di Scienze Sociali, Vita e Pensiero, Pubblicazioni dell'Universita' Cattolica del Sacro Cuore, vol. 118(1), pages 47-76.
    9. Luigi Filippini, 2005. "Licensing Contract In A Stackelberg Model," Manchester School, University of Manchester, vol. 73(5), pages 582-598, September.
    10. Stamatopoulos, Giorgos & Tauman, Tami, 2009. "On the superiority of fixed fee over auction in asymmetric markets," Games and Economic Behavior, Elsevier, vol. 67(1), pages 331-333, September.
    11. Kabiraj, Tarun & Marjit, Sugata, 2003. "Protecting consumers through protection: The role of tariff-induced technology transfer," European Economic Review, Elsevier, vol. 47(1), pages 113-124, February.
    12. Michael L. Katz & Carl Shapiro, 1986. "How to License Intangible Property," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(3), pages 567-589.
    13. Henry Wang, X., 2002. "Fee versus royalty licensing in a differentiated Cournot duopoly," Journal of Economics and Business, Elsevier, vol. 54(2), pages 253-266.
    14. Hernandez-Murillo, Ruben & Llobet, Gerard, 2006. "Patent licensing revisited: Heterogeneous firms and product differentiation," International Journal of Industrial Organization, Elsevier, vol. 24(1), pages 149-175, January.
    15. Wang, X. Henry, 1998. "Fee versus royalty licensing in a Cournot duopoly model," Economics Letters, Elsevier, vol. 60(1), pages 55-62, July.
    16. Nisvan Erkal, 2005. "Optimal Licensing Policy in Differentiated Industries," The Economic Record, The Economic Society of Australia, vol. 81(252), pages 51-60, March.
    17. Fan, Cuihong & Jun, Byoung Heon & Wolfstetter, Elmar G., 2013. "Licensing process innovations when losersʼ messages determine royalty rates," Games and Economic Behavior, Elsevier, vol. 82(C), pages 388-402.
    18. Nancy T. Gallini & Brian D. Wright, 1990. "Technology Transfer under Asymmetric Information," RAND Journal of Economics, The RAND Corporation, vol. 21(1), pages 147-160, Spring.
    19. Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    20. Shapiro, Carl, 1985. "Patent Licensing and R&D Rivalry," American Economic Review, American Economic Association, vol. 75(2), pages 25-30, May.
    21. Kamien, Morton I. & Oren, Shmuel S. & Tauman, Yair, 1992. "Optimal licensing of cost-reducing innovation," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 483-508.
    22. Ana I. Saracho, 2002. "Patent Licensing Under Strategic Delegation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 11(2), pages 225-251, June.
    23. Arijit Mukherjee, 2010. "Competition And Welfare: The Implications Of Licensing," Manchester School, University of Manchester, vol. 78(1), pages 20-40, January.
    24. Das Varma, Gopal, 2003. "Bidding for a process innovation under alternative modes of competition," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 15-37, January.
    25. 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.
    26. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    27. Tauman, Yair & Weng, Ming-Hung, 2012. "Selling patent rights and the incentive to innovate," Economics Letters, Elsevier, vol. 114(3), pages 241-244.
    28. Wang, X Henry & Yang, Bill Z, 1999. "On Licensing under Bertrand Competition," Australian Economic Papers, Wiley Blackwell, vol. 38(2), pages 106-119, June.
    29. Sen, Debapriya, 2005. "Fee versus royalty reconsidered," Games and Economic Behavior, Elsevier, vol. 53(1), pages 141-147, October.
    30. Tomomichi Mizuno & Kazuhiro Takauchi & Takeshi Iida, 2011. "Better technology may be sold for a lower fee: The ad valorem tariff and licensing contract," Discussion Papers 1109, Graduate School of Economics, Kobe University.
    31. Mukhopadhyay, Sankar & Kabiraj, Tarun & Mukherjee, Arijit, 1999. "Technology transfer in duopoly The role of cost asymmetry," International Review of Economics & Finance, Elsevier, vol. 8(4), pages 363-374, November.
    32. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    33. Bousquet, Alain & Cremer, Helmuth & Ivaldi, Marc & Wolkowicz, Michel, 1998. "Risk sharing in licensing," International Journal of Industrial Organization, Elsevier, vol. 16(5), pages 535-554, September.
    34. Erutku, C. & Richelle, Y., 2000. "Optimal Licensing Contracts and the Value of a Patent," Cahiers de recherche 2000-07, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    35. Mukherjee, Arijit & Pennings, Enrico, 2006. "Tariffs, licensing and market structure," European Economic Review, Elsevier, vol. 50(7), pages 1699-1707, October.
    36. San Martín Lizarralde, Marta & Saracho de la Torre, Ana Isabel, 2012. "Two-part tariff licensing mechanisms," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    37. Lin, Ping, 1996. "Fixed-Fee Licensing of Innovations and Collusion," Journal of Industrial Economics, Wiley Blackwell, vol. 44(4), pages 443-449, December.
    38. ERUTKU, C. & RICHELLE, Yves, 2000. "Optimal Licensing Contracts and the Value of a Patent," Cahiers de recherche 2000-07, Universite de Montreal, Departement de sciences economiques.
    39. Niu, Shuai, 2013. "The equivalence of profit-sharing licensing and per-unit royalty licensing," Economic Modelling, Elsevier, vol. 32(C), pages 10-14.
    40. Anne Duchêne & Konstantinos Serfes, 2012. "Patent Settlements as a Barrier to Entry," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 21(2), pages 399-429, June.
    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. Colombo, Stefano & Filippini, Luigi, 2014. "Licensing and innovation: A comment," Economics Letters, Elsevier, vol. 125(3), pages 353-356.
    2. Din, Hong-Ren & Sun, Chia-Hung, 2020. "Welfare improving licensing with endogenous choice of prices versus quantities," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    3. Swapnendu Banerjee & Arijit Mukherjee & Sougata Poddar, 2023. "Optimal patent licensing—Two or three‐part tariff," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(3), pages 624-648, June.
    4. 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.
    5. Montinaro, Marta & Pal, Rupayan & Scrimitore, Marcella, 2020. "Per Unit and Ad Valorem Royalties in a Patent Licensing Game," FACTS: Firms And Cities Towards Sustainability 307305, Fondazione Eni Enrico Mattei (FEEM) > FACTS: Firms And Cities Towards Sustainability.
    6. Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    7. Chin-Sheng Chen, 2017. "Endogenous Market Structure and Technology Licensing," The Japanese Economic Review, Japanese Economic Association, vol. 68(1), pages 115-130, March.
    8. Stefano Colombo & Luigi Filippini, 2016. "Revenue royalties," Journal of Economics, Springer, vol. 118(1), pages 47-76, May.
    9. 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.
    10. Ma, Siyu & Sen, Debapriya & Tauman, Yair, 2022. "Optimal patent licensing: from three to two part tariffs," MPRA Paper 111624, University Library of Munich, Germany.
    11. Siyu Ma & Yair Tauman, 2021. "Licensing of a New Product Innovation with Risk Averse Agents," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 59(1), pages 79-102, August.
    12. Gerard Llobet & Jorge Padilla, 2016. "The Optimal Scope of the Royalty Base in Patent Licensing," Journal of Law and Economics, University of Chicago Press, vol. 59(1), pages 45-73.
    13. Sen, Debapriya & Tauman, Yair, 2018. "Patent licensing in a Cournot oligopoly: General results," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 37-48.
    14. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, January.
    15. John Heywood & Zheng Wang, 2015. "How to license a transport innovation," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 55(2), pages 485-500, December.
    16. Heywood, John S. & Li, Jianpei & Ye, Guangliang, 2014. "Per unit vs. ad valorem royalties under asymmetric information," International Journal of Industrial Organization, Elsevier, vol. 37(C), pages 38-46.
    17. 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.
    18. Li, Hai & Qing, Qiankai & Wang, Juan & Hong, Xianpei, 2021. "An analysis of technology licensing and parallel importation under different market structures," European Journal of Operational Research, Elsevier, vol. 289(1), pages 132-143.
    19. Stefano Colombo, 2015. "Licensing Under Bertrand Competition Revisited," Australian Economic Papers, Wiley Blackwell, vol. 54(1), pages 38-42, March.
    20. Chin-Sheng Chen, 2017. "Endogenous Market Structure and Technology Licensing," The Japanese Economic Review, Springer, vol. 68(1), pages 115-130, March.
    21. San Martín Lizarralde, Marta & Saracho de la Torre, Ana Isabel, 2012. "Two-part tariff licensing mechanisms," IKERLANAK http://www-fae1-eao1-ehu-, Universidad del País Vasco - Departamento de Fundamentos del Análisis Económico I.
    22. Marta San Martín & Ana I. Saracho, 2015. "Optimal Two-part Tariff Licensing Mechanisms," Manchester School, University of Manchester, vol. 83(3), pages 288-306, June.

    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. 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.
    2. Stefano Colombo, 2014. "Fee versus royalty licensing in spatial Cournot competition," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 52(3), pages 859-879, May.
    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. Kabiraj, Abhishek & Kabiraj, Tarun, 2017. "Tariff induced licensing contracts, consumers’ surplus and welfare," Economic Modelling, Elsevier, vol. 60(C), pages 439-447.
    5. Stefano Colombo & Luigi Filippini, 2016. "Revenue royalties," Journal of Economics, Springer, vol. 118(1), pages 47-76, May.
    6. Yair Tauman & Debrapiya Sen, 2012. "Patents and Licenses," Department of Economics Working Papers 12-05, Stony Brook University, Department of Economics.
    7. Amir, Rabah & Encaoua, David & Lefouili, Yassine, 2014. "Optimal licensing of uncertain patents in the shadow of litigation," Games and Economic Behavior, Elsevier, vol. 88(C), pages 320-338.
    8. Bagchi, Aniruddha & Mukherjee, Arijit, 2014. "Technology licensing in a differentiated oligopoly," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 455-465.
    9. Arijit Mukherjee & Yingyi Tsai, 2013. "Technology licensing under optimal tax policy," Journal of Economics, Springer, vol. 108(3), pages 231-247, April.
    10. Nisvan Erkal, 2005. "Optimal Licensing Policy in Differentiated Industries," The Economic Record, The Economic Society of Australia, vol. 81(252), pages 51-60, March.
    11. Kim, Seung-Leul & Lee, Sang-Ho, 2021. "Optimal tariffs with emissions taxes under non-restrictive two-part licensing strategies by a foreign eco-competitor," MPRA Paper 108496, University Library of Munich, Germany.
    12. Marta San Martín & Ana I. Saracho, 2015. "Optimal Two-part Tariff Licensing Mechanisms," Manchester School, University of Manchester, vol. 83(3), pages 288-306, June.
    13. Debapriya Sen & Giorgos Stamatopoulos, 2009. "Technology Transfer Under Returns To Scale," Manchester School, University of Manchester, vol. 77(3), pages 337-365, June.
    14. Mukherjee, Arijit, 2010. "Licensing a new product: Fee vs. royalty licensing with unionized labor market," Labour Economics, Elsevier, vol. 17(4), pages 735-742, August.
    15. Sen, Debapriya, 2005. "Fee versus royalty reconsidered," Games and Economic Behavior, Elsevier, vol. 53(1), pages 141-147, October.
    16. Heywood, John S. & Li, Jianpei & Ye, Guangliang, 2014. "Per unit vs. ad valorem royalties under asymmetric information," International Journal of Industrial Organization, Elsevier, vol. 37(C), pages 38-46.
    17. Ismail Saglam, 2023. "Licensing cost‐reducing innovations under supply function competition," Bulletin of Economic Research, Wiley Blackwell, vol. 75(1), pages 180-201, January.
    18. Arijit Mukherjee, 2010. "Technology licensing under convex costs," Discussion Papers 10/05, University of Nottingham, School of Economics.
    19. Rabah Amir & David Encaoua & Yassine Lefouili, 2011. "Per-Unit Royalty vs Fixed Fee: The Case of Weak Patents," Working Papers halshs-00595493, HAL.
    20. Zhao, Dan, 2017. "Choices and impacts of cross-licensing contracts," International Review of Economics & Finance, Elsevier, vol. 48(C), pages 389-405.

    More about this item

    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:bla:manchs:v:83:y:2015:i:1:p:1-16. 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: https://edirc.repec.org/data/semanuk.html .

    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.