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License and entry strategies for an outside innovator in duopoly with combination of royalty and fixed fee under vertical differentiation

Author

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  • Hattori, Masahiko
  • Tanaka, Yasuhito
Abstract
We consider a choice of options for an innovating firm in duopoly under vertical differentiation to enter the market with or without licensing its technology for producing a higher quality good to the incumbent firm using a combination of a royalty per output and a fixed license fee, or to license its technology without entry. With general distribution function of consumers' taste parameter and cost function we will show that when the innovating firm licenses its technology to the incumbent firm without entry, the optimal royalty rate per output is zero with negative fixed fee, and when the innovating firm enters the market with a license to the incumbent firm, its optimal royalty rate is positive with positive or negative fixed fee. Also we show that when cost function is concave, the optimal royalty rate is one such that the incumbent firm drops out of the market; and when cost function is strictly convex, there is an internal solution of the optimal royalty rate under duopoly.

Suggested Citation

  • Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License and entry strategies for an outside innovator in duopoly with combination of royalty and fixed fee under vertical differentiation," MPRA Paper 78856, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:78856
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    File URL: https://mpra.ub.uni-muenchen.de/78856/1/MPRA_paper_78856.pdf
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    References listed on IDEAS

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    Cited by:

    1. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Robustness of subsidy in licensing under vertical differentiation: General distribution and cost functions," MPRA Paper 78857, University Library of Munich, Germany.

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    More about this item

    Keywords

    duopoly; royalty; fixed license fee; vertical differentiation;
    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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