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Equivalence between fixed fee and ad valorem profit royalty

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  • Colombo, Stefano
  • Ma, Siyu
  • Sen, Debapriya
  • Tauman, Yair

Abstract

For an outside innovator with a finite number of buyers of the innovation, this paper compares two licensing schemes: (i) fixed fee, in which a licensee pays a fee to the innovator and (ii) ad valorem profit royalty, in which a licensee leaves a fraction of its profit with the innovator. We show these two schemes are equivalent in that for any number of licenses the innovator puts for sale, these two schemes give the same licensing revenue. We obtain this equivalence result in a general model with minimal structure. It is then applied in a Cournot oligopoly for an outside innovator. Finally, in a Cournot duopoly it is shown that when the innovator is one of the incumbent firms rather than an outsider, the equivalence result does not hold.

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  • Colombo, Stefano & Ma, Siyu & Sen, Debapriya & Tauman, Yair, 2021. "Equivalence between fixed fee and ad valorem profit royalty," MPRA Paper 108275, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:108275
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    File URL: https://mpra.ub.uni-muenchen.de/108862/1/MPRA_paper_108862.pdf
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    References listed on IDEAS

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    Cited by:

    1. Rabah Amir & Myrna Wooders, 2021. "Introduction to the special issue on markets, policies, and economic design: Theory and experiments," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 23(5), pages 765-771, October.
    2. 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.
    3. Tsung-Sheng Tsai & Cheng-Tai Wu, 2022. "Optimal licensing contracts with a downstream oligopoly: insider versus outsider innovation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 147-165, May.
    4. Ismail Saglam, 2023. "Licensing cost‐reducing innovations under supply function competition," Bulletin of Economic Research, Wiley Blackwell, vol. 75(1), pages 180-201, January.
    5. 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.
    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.

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    More about this item

    Keywords

    fixed fee. advlorem profit royalty; licensing schemes; auction; posted price; outside innovator;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D45 - Microeconomics - - Market Structure, Pricing, and Design - - - Rationing; Licensing
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • L24 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Contracting Out; Joint Ventures

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