IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/59069.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/59069/1/MPRA_paper_59069.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    3. Matsumura, Toshihiro & Matsushima, Noriaki & Cato, Susumu, 2013. "Competitiveness and R&D competition revisited," Economic Modelling, Elsevier, vol. 31(C), pages 541-547.
    4. 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.
    5. Satoh, Atsuhiro & Tanaka, Yasuhito, 2014. "Relative profit maximization in asymmetric oligopoly: Cournot and Bertrand equilibria," MPRA Paper 55883, University Library of Munich, Germany.
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Satoh, Atsuhiro & Tanaka, Yasuhito, 2017. "Sion's minimax theorem and Nash equilibrium of symmetric multi-person zero-sum game," MPRA Paper 82148, University Library of Munich, Germany.
    2. Atsuhiro Satoh & Yasuhito Tanaka, 2020. "Sion's minimax theorem and Nash equilibrium of symmetric three-players zero-sum game," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 16(2), pages 279-289.
    3. Satoh, Atsuhiro & Tanaka, Yasuhito, 2016. "Maximin and minimax strategies in symmetric oligopoly: Cournot and Bertrand," MPRA Paper 75837, University Library of Munich, Germany.
    4. Atsuhiro Satoh & Yasuhito Tanaka, 2014. "Relative Profit Maximization in Duopoly: Difference or Ratio," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 13(2), pages 127-141, December.
    5. Atsuhiro Satoh & Yasuhito Tanaka, 2014. "Free Entry Oligopoly, Cournot, Bertrand and Relative Profit Maximization," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 13(2), pages 143-155, December.
    6. Tanaka, Yasuhito & Satoh, Atsuhiro, 2016. "Maximin and minimax strategies in asymmetric duopoly: Cournot and Bertrand," MPRA Paper 73925, University Library of Munich, Germany.
    7. Masahiko Hattori & Atsuhiro Satoh & Yasuhito Tanaka, 2018. "Minimax theorem and Nash equilibrium of symmetric multi-players zero-sum game with two strategic variables," Papers 1806.07203, arXiv.org.
    8. Satoh, Atsuhiro & Tanaka, Yasuhito, 2016. "Symmetric multi-person zero-sum game with two sets of strategic variables," MPRA Paper 75838, University Library of Munich, Germany.
    9. Hattori, Masahiko & Satoh, Atsuhiro & Tanaka, Yasuhito, 2018. "Minimax theorem and Nash equilibrium of symmetric three-players zero-sum game with two strategic variables," MPRA Paper 85503, University Library of Munich, Germany.
    10. Atsuhiro Satoh & Yasuhito Tanaka, 2018. "On the relation between Sion's minimax theorem and existence of Nash equilibrium in asymmetric multi-players zero-sum game with only one alien," Papers 1806.07253, arXiv.org.
    11. Satoh, Atsuhiro & Tanaka, Yasuhito, 2018. "The equivalence of mini-max theorem and existence of Nash equilibrium in asymmetric three-players zero-sum game with two groups," MPRA Paper 87249, University Library of Munich, Germany.
    12. Atsuhiro Satoh & Yasuhito Tanaka, 2019. "Two Person Zero-Sum Game with Two Sets of Strategic Variables," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 21(03), pages 1-15, September.
    13. Atsuhiro Satoh & Yasuhito Tanaka, 2018. "Nash equilibrium of partially asymmetric three-players zero-sum game with two strategic variables," Papers 1809.02465, arXiv.org.
    14. Atsuhiro Satoh & Yasuhito Tanaka, 2018. "Sion's mini-max theorem and Nash equilibrium in a five-players game with two groups which is zero-sum and symmetric in each group," Papers 1809.02466, arXiv.org.
    15. Satoh, Atsuhiro & Tanaka, Yasuhito, 2018. "Nash equilibrium in asymmetric multi-players zero-sum game with two strategic variables and only one alien," MPRA Paper 88978, University Library of Munich, Germany.
    16. Satoh, Atsuhiro & Tanaka, Yasuhito, 2018. "Sion's mini-max theorem and Nash equilibrium in a multi-players game with two groups which is zero-sum and symmetric in each group," MPRA Paper 88977, University Library of Munich, Germany.
    17. Atsuhiro Satoh & Yasuhito Tanaka, 2014. "Relative profit maximization in asymmetric oligopoly," Economics Bulletin, AccessEcon, vol. 34(3), pages 1653-1664.
    18. Atsuhiro Satoh & Yasuhito Tanaka, 2018. "Maximin and Minimax Strategies in Two-Players Game with Two Strategic Variables," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 20(01), pages 1-13, March.
    19. Satoh, Atsuhiro & Tanaka, Yasuhito, 2016. "Choice of Strategic Variables by Relative Profit Maximizing Firms in Oligopoly," Economic Review, Hitotsubashi University, vol. 67(1), pages 17-25, January.
    20. Tanaka, Yasuhito, 2019. "On the equivalence of Stackelberg equilibrium and static equilibrium of symmetric multi-players zero-sum game," MPRA Paper 91897, University Library of Munich, Germany.

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:59069. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.