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Negative royalty in duopoly and definition of license fee: general demand and cost functions

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  • Hattori, Masahiko
  • Tanaka, Yasuhito

Abstract

We examine the relationship between the definition of license fee and a possibility of negative royalty in a duopoly with an outside innovator which has an option to enter the market and imposes a combination of a royalty per output and a fixed fee under general demand and cost functions. We consider two scenarios about determination of license fee. One is a scenario which does not assume entry of the innovator, and the other is a scenario which takes a possibility of entry of the innovator into the market. We will show that the optimal royalty rate for the innovator in the former case is smaller than that in the latter case, and the sign of the optimal royalty rate depends on whether the goods of firms are strategic substitutes or strategic complements.

Suggested Citation

  • Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Negative royalty in duopoly and definition of license fee: general demand and cost functions," MPRA Paper 79000, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:79000
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    References listed on IDEAS

    as
    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. Sen, Debapriya & Stamatopoulos, Giorgos, 2016. "Licensing under general demand and cost functions," European Journal of Operational Research, Elsevier, vol. 253(3), pages 673-680.
    3. Andrea Fosfuri & Esther Roca, 2004. "Optimal Licensing Strategy: Royalty or Fixed Fee?," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 3(1), pages 13-19, April.
    4. Wang, X. Henry, 1998. "Fee versus royalty licensing in a Cournot duopoly model," Economics Letters, Elsevier, vol. 60(1), pages 55-62, July.
    5. Chun‐Hsiung Liao & Debapriya Sen, 2005. "Subsidy In Licensing: Optimality And Welfare Implications," Manchester School, University of Manchester, vol. 73(3), pages 281-299, June.
    6. 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.
    7. Seade, Jesus, 1980. "The stability of cournot revisited," Journal of Economic Theory, Elsevier, vol. 23(1), pages 15-27, August.
    8. Sen, Debapriya, 2005. "Fee versus royalty reconsidered," Games and Economic Behavior, Elsevier, vol. 53(1), pages 141-147, October.
    9. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
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    Cited by:

    1. Salman Ali & Syed Mizanur Rahman, 2020. "R&D Expenditure in a Competitive Landscape: A Game Theoretic Approach," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 19(1), pages 47-60, June.

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    More about this item

    Keywords

    negative royalty; duopoly; general demand and cost functions;
    All these keywords.

    JEL classification:

    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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