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Patent licensing with Bertrand competitors

Author

Listed:
  • Stefano Colombo

    (DISCE, Università Cattolica)

  • Luigi Filippini

    (DISCE, Università Cattolica)

Abstract

We study optimal licensing contracts in a differentiated Bertrand duopoly, and show that per-unit contracts are preferred to ad valorem contracts by the patentee, while welfare is higher under the ad valorem contract. The difference between Cournot and Bertrand case is explained in terms of quantity effect and profits effect.

Suggested Citation

  • Stefano Colombo & Luigi Filippini, 2012. "Patent licensing with Bertrand competitors," DISCE - Quaderni dell'Istituto di Teoria Economica e Metodi Quantitativi itemq1262, Università Cattolica del Sacro Cuore, Dipartimenti e Istituti di Scienze Economiche (DISCE).
    • Handle: RePEc:ctc:serie6:itemq1262
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. 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.
    2. 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.
    3. Belleflamme,Paul & Peitz,Martin, 2015. "Industrial Organization," Cambridge Books, Cambridge University Press, number 9781107687899, January.
    4. Stefano Colombo & Luigi Filippini, 2015. "Patent Licensing with Bertrand Competitors," Manchester School, University of Manchester, vol. 83(1), pages 1-16, January.
    5. 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.
    6. Sen, Debapriya & Tauman, Yair, 2018. "Patent licensing in a Cournot oligopoly: General results," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 37-48.
    7. 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.
    8. 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.
    9. Chin-Sheng Chen, 2017. "Endogenous Market Structure and Technology Licensing," The Japanese Economic Review, Japanese Economic Association, vol. 68(1), pages 115-130, March.
    10. Colombo, Stefano & Filippini, Luigi, 2014. "Licensing and innovation: A comment," Economics Letters, Elsevier, vol. 125(3), pages 353-356.
    11. 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).
    12. 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.
    13. 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.
    14. 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.
    15. 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.
    16. Stefano Colombo & Luigi Filippini, 2016. "Revenue royalties," Journal of Economics, Springer, vol. 118(1), pages 47-76, May.
    17. 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.
    18. Ma, Siyu & Sen, Debapriya & Tauman, Yair, 2022. "Optimal patent licensing: from three to two part tariffs," MPRA Paper 111624, University Library of Munich, Germany.
    19. Marta Montinaro & Rupayan Pal & Marcella Scrimitore, 2020. "Per Unit and Ad Valorem Royalties in a Patent Licensing Game," Working Papers 2020.14, Fondazione Eni Enrico Mattei.
    20. 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.
    21. Stefano Colombo, 2015. "Licensing Under Bertrand Competition Revisited," Australian Economic Papers, Wiley Blackwell, vol. 54(1), pages 38-42, March.
    22. Chin-Sheng Chen, 2017. "Endogenous Market Structure and Technology Licensing," The Japanese Economic Review, Springer, vol. 68(1), pages 115-130, March.

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    More about this item

    Keywords

    Two-part contracts; patent licensing; ad valorem royalties; Bertrand;
    All these keywords.

    JEL classification:

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

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