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Subsidy or tax policy for new technology adoption in duopoly with quadratic and linear cost functions

Author

Listed:
  • Masahiko Hattori

    (Faculty of Economics, Doshisha University)

  • Yasuhito Tanaka

    (Faculty of Economics, Doshisha University)

Abstract

We present an analysis about subsidy (or tax) policy for adoption of new technology in a duopoly with a homogeneous good. Technology itself is free. However, firms must expend fixed set-up costs for adoption of new technology, for example, education costs of their staffs. We assume linear demand function, and consider two types of cost functions of firms. Quadratic cost functions and linear cost functions. There are various cases of optimal policies depending on the level of the set-up cost and the forms of cost functions. In particular, under linear cost functions there is the following case. The social welfare is maximized when one firm adopts new technology, however, both firms adopt new technology without subsidy nor tax. Then, the government should impose taxes on one firm or both firms. Under quadratic cost functions there exists no taxation case. There are subsidization cases both under quadratic and linear cost functions.

Suggested Citation

  • Masahiko Hattori & Yasuhito Tanaka, 2015. "Subsidy or tax policy for new technology adoption in duopoly with quadratic and linear cost functions," Economics Bulletin, AccessEcon, vol. 35(2), pages 1423-1433.
    • Handle: RePEc:ebl:ecbull:eb-15-00044
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. Masahiko Hattori & Yasuhito Tanaka, 2020. "License Fees in Oligopoly When Outside Innovator can Enter the Market: Two-Step Auction," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 22(03), pages 1-15, September.
    3. Hattori, Masahiko & Tanaka, Yasuhito, 2016. "License or entry in oligopoly," MPRA Paper 73547, University Library of Munich, Germany.
    4. Masahiko Hattori & Yasuhito Tanaka, 2018. "License and Entry Strategies for an Outside Innovator Under Duopoly with Combination of Royalty and Fixed Fee," Journal of Industry, Competition and Trade, Springer, vol. 18(4), pages 485-502, December.
    5. Masahiko Hattori & Yasuhito Tanaka, 2016. "Subsidizing New Technology Adoption in a Stackelberg Duopoly: Cases of Substitutes and Complements," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 2(2), pages 197-215, July.
    6. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License or entry decision for innovator in international duopoly with convex cost functions," MPRA Paper 78996, University Library of Munich, Germany.
    7. Masahiko Hattori & Yasuhito Tanaka, 2016. "License or entry with vertical differentiation in duopoly," Economics and Business Letters, Oviedo University Press, vol. 5(1), pages 17-29.
    8. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License and entry decision for innovating firm in international duopoly under vertical differentiation," MPRA Paper 78995, University Library of Munich, Germany.
    9. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Royalty and license fee under vertical differentiation in oligopoly with or without entry of innovator: Two-step auction," MPRA Paper 78859, University Library of Munich, Germany.
    10. Masahiko Hattori & Yasuhito Tanaka, 2016. "Taxation or Subsidization Policy for New Technology Adoption in Oligopoly," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 15(2), pages 161-172, December.
    11. Longzhen Yu & Jianhua Zhu & Zhixian Wang, 2021. "Green Taxation Promotes the Intelligent Transformation of Chinese Manufacturing Enterprises: Tax Leverage Theory," Sustainability, MDPI, vol. 13(23), pages 1-27, December.
    12. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Royalty and license fee under oligopoly with or without entry of innovator: Two-step auction," MPRA Paper 78858, University Library of Munich, Germany.
    13. Masahiko Hattori & Yasuhito Tanaka, 2017. "Competitiveness of Firm Behavior and Public Policy for New Technology Adoption in an Oligopoly," Journal of Industry, Competition and Trade, Springer, vol. 17(2), pages 135-151, June.
    14. Masahiko Hattori & Yasuhito Tanaka, 2017. "Competitiveness and Subsidy or Tax Policy for New Technology Adoption in Duopoly," Global Economic Review, Taylor & Francis Journals, vol. 46(1), pages 18-32, January.
    15. Masahiko Hattori & Yasuhito Tanaka, 2020. "Entry of Innovator and License in Oligopoly," Journal of Industry, Competition and Trade, Springer, vol. 20(4), pages 709-731, December.
    16. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "Vertical differentiation in oligopoly and license fees when outside innovator can enter the market: Two-step auction," MPRA Paper 78987, University Library of Munich, Germany.

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    More about this item

    Keywords

    subsidy or tax for new technology adoption; duopoly; quadratic cost; linear cost;
    All these keywords.

    JEL classification:

    • D4 - Microeconomics - - Market Structure, Pricing, and Design
    • L1 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance

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