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Incentive for adoption of new technology in duopoly under absolute and relative profit maximization

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  • Hattori, Masahiko
  • Tanaka, Yasuhito

Abstract

We present an analysis about adoption of new technology by firms in a duopoly with differentiated goods under absolute and relative profit maximization. Technology itself is free, but each firm must expend a fixed set-up cost, for example, for education of its staff. Under absolute profit maximization there are three types of sub-game perfect equilibria depending on the value of set-up cost. Both firms, or one firm, or no firm adopt new technology. On the other hand, under relative profit maximization there are two sub-game perfect equilibria. Both firms, or no firm adopt new technology. And we show that if demand is sufficiently high, it is more probable that both firms adopt new technology under relative profit maximization than that both firms, or one firm adopt new technology under absolute profit maximization.

Suggested Citation

  • Hattori, Masahiko & Tanaka, Yasuhito, 2014. "Incentive for adoption of new technology in duopoly under absolute and relative profit maximization," MPRA Paper 59069, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:59069
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    References listed on IDEAS

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    1. Yasuhito Tanaka, 2013. "Irrelevance of the choice of strategic variables in duopoly under relative profit maximization," Economics and Business Letters, Oviedo University Press, vol. 2(2), pages 75-83.
    2. Yasuhito Tanaka, 2013. "Equivalance of Cournot and Bertrand equilibria in differentiated duopoly under relative profit maximization with linear demand," Economics Bulletin, AccessEcon, vol. 33(2), pages 1479-1486.
    3. Satoh, Atsuhiro & Tanaka, Yasuhito, 2014. "Relative profit maximization in asymmetric oligopoly: Cournot and Bertrand equilibria," MPRA Paper 55883, University Library of Munich, Germany.
    4. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    5. Yuanzhu Lu, 2011. "The Relative-Profit-Maximization Objective Of Private Firms And Endogenous Timing In A Mixed Oligopoly," The Singapore Economic Review (SER), World Scientific Publishing Co. Pte. Ltd., vol. 56(02), pages 203-213.
    6. Atsuhiro Satoh & Yasuhito Tanaka, 2014. "Relative profit maximization and equivalence of Cournot and Bertrand equilibria in asymmetric duopoly," Economics Bulletin, AccessEcon, vol. 34(2), pages 819-827.
    7. Atsuhiro Satoh & Yasuhito Tanaka, 2013. "Relative profit maximization and Bertrand equilibrium with quadratic cost functions," Economics and Business Letters, Oviedo University Press, vol. 2(3), pages 134-139.
    8. Satoh, Atsuhiro & Tanaka, Yasuhito, 2014. "Relative profit maximization and equivalence of Cournot and Bertrand equilibria in an asymmetric differentiated duopoly," MPRA Paper 55895, University Library of Munich, Germany.
    9. Matsumura, Toshihiro & Matsushima, Noriaki & Cato, Susumu, 2013. "Competitiveness and R&D competition revisited," Economic Modelling, Elsevier, vol. 31(C), pages 541-547.
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    Cited by:

    1. Hattori, Masahiko & Tanaka, Yasuhito, 2016. "License or entry in oligopoly," MPRA Paper 73547, University Library of Munich, Germany.
    2. 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.
    3. Masahiko Hattori & Yasuhito Tanaka, 2018. "License and Entry Strategies for an Outside Innovator Under Duopoly," Italian Economic Journal: A Continuation of Rivista Italiana degli Economisti and Giornale degli Economisti, Springer;Società Italiana degli Economisti (Italian Economic Association), vol. 4(1), pages 135-152, March.
    4. 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.
    5. 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.
    6. 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.
    7. Masahiko Hattori & Yasuhito Tanaka, 2018. "License and Entry Decisions for a Firm with a Cost Advantage in an International Duopoly under Convex Cost Functions," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 14(1), pages 1-31, February.
    8. Masahiko HATTORI & Yasuhito TANAKA, 2016. "Subsidy for New Technology Adoption in Duopoly with Differentiated Goods under Absolute and Relative Profit Maximization," Journal of Economics Library, KSP Journals, vol. 3(3), pages 411-428, September.
    9. 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.
    10. 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.
    11. Masahiko Hattori & Yasuhito Tanaka, 2017. "License or Entry in Duopoly with Quality Improving Innovation: Alternative Definitions of License Fee," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 13(1), pages 1-26, February.
    12. 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.
    13. Atsuhiro SATOH & Yasuhito TANAKA, 2016. "Equivalence of Cournot and Bertrand equilibria in duopoly under relative profit maximization: A general analysis," Journal of Economics and Political Economy, KSP Journals, vol. 3(3), pages 513-523, September.
    14. Hattori, Masahiko & Tanaka, Yasuhito, 2017. "License and entry strategies for outside innovator in duopoly," MPRA Paper 76444, University Library of Munich, Germany.
    15. 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.

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    More about this item

    Keywords

    duopoly; relative profit maximization; adoption of new technology;
    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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