IDEAS home Printed from https://ideas.repec.org/a/eee/ecmode/v44y2015icp37-43.html
   My bibliography  Save this article

Price versus quantity in a mixed duopoly: The case of relative profit maximization

Author

Listed:
  • Nakamura, Yasuhiko

Abstract

This paper examines the endogenous choice problem of each firm's price or quantity contract in a mixed duopoly composed of one social welfare maximizing public firm and one relative profit-maximizing private firm. In this paper, we show that unless the degree of product differentiation and the degree of importance of the private firm's relative performance are low, the quantity competition can analytically become the unique equilibrium market structure on the basis of the dominant strategies of the public firm and the private firm when the degree of importance of firm 1's relative performance is sufficiently high. This result contrasts strikingly with that obtained in a standard mixed duopoly composed of one social welfare-maximizing public firm and one absolute profit maximizing private firm. In addition, even in the area wherein both the degree of product differentiation and the degree of the private firm's relative performance are sufficiently low, through numerical simulations, the quantity competition tends to become the unique equilibrium market structure when the degree of importance of the private firm's relative performance is sufficiently high, whereas the price competition tends to become the unique equilibrium market structure when the degree of importance of the private firm's relative performance is sufficiently low.

Suggested Citation

  • Nakamura, Yasuhiko, 2015. "Price versus quantity in a mixed duopoly: The case of relative profit maximization," Economic Modelling, Elsevier, vol. 44(C), pages 37-43.
    • Handle: RePEc:eee:ecmode:v:44:y:2015:i:c:p:37-43
    DOI: 10.1016/j.econmod.2014.09.019
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0264999314003472
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econmod.2014.09.019?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Toshihiro Matsumura & Noriaki Matsushima, 2012. "Competitiveness And Stability Of Collusive Behavior," Bulletin of Economic Research, Wiley Blackwell, vol. 64(Supplemen), pages 22-31, December.
    2. Tasnadi, Attila, 2006. "Price vs. quantity in oligopoly games," International Journal of Industrial Organization, Elsevier, vol. 24(3), pages 541-554, May.
    3. repec:bla:buecrs:v:64:y:2012:i::p:s22-s31 is not listed on IDEAS
    4. Armen A. Alchian, 1950. "Uncertainty, Evolution, and Economic Theory," Journal of Political Economy, University of Chicago Press, vol. 58, pages 211-211.
    5. Jennifer C. Coats & William S. Neilson, 2005. "Beliefs About Other-Regarding Preferences in a Sequential Public Goods Game," Economic Inquiry, Western Economic Association International, vol. 43(3), pages 614-622, July.
    6. Ya‐chin Wang & Leonard F.s. Wang, 2009. "Equivalence Of Competition Mode In A Vertically Differentiated Duopoly With Delegation," South African Journal of Economics, Economic Society of South Africa, vol. 77(4), pages 577-590, December.
    7. Tanaka, Yasuhito, 2001. "Profitability of price and quantity strategies in an oligopoly," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 409-418, June.
    8. Paul Klemperer & Margaret Meyer, 1986. "Price Competition vs. Quantity Competition: The Role of Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 17(4), pages 618-638, Winter.
    9. Fernando Vega-Redondo, 1997. "The Evolution of Walrasian Behavior," Econometrica, Econometric Society, vol. 65(2), pages 375-384, March.
    10. Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
    11. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    12. Leonard Wang & Ya-Chin Wang, 2010. "Input Pricing and Market Share Delegation in a Vertically Related Market: Is the Timing Order Relevant?," International Journal of the Economics of Business, Taylor & Francis Journals, vol. 17(2), pages 207-221.
    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. Yasuhiko Nakamura, 2019. "Combining the Endogenous Choice of the Timing of Setting the Levels of Strategic Contracts and Their Contents in a Managerial Mixed Duopoly," Journal of Industry, Competition and Trade, Springer, vol. 19(2), pages 235-261, June.
    2. Xu, Lili & Chen, Yuyan & Lee, Sang-Ho, 2022. "Emission tax and strategic environmental corporate social responsibility in a Cournot–Bertrand comparison," Energy Economics, Elsevier, vol. 107(C).
    3. Xu, Lili & Cho, Sumi & Lee, Sang-Ho, 2016. "Emission tax and optimal privatization in Cournot–Bertrand comparison," Economic Modelling, Elsevier, vol. 55(C), pages 73-82.
    4. Nguyen, Xuan, 2015. "On the efficiency of private and state-owned enterprises in mixed markets," Economic Modelling, Elsevier, vol. 50(C), pages 130-137.
    5. Chang Ray-Yun & Hu Jin-Li & Lin Yan-Shu, 2018. "The Choice of Prices versus Quantities under Outsourcing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-20, July.
    6. Moghadam, Hamed Markazi, 2021. "A nonparametric approach to evolutionary oligopoly games: An application to the crude oil industry," Economic Modelling, Elsevier, vol. 101(C).
    7. Amarjyoti Mahanta, 2019. "Endogenous strategic variable in a mixed duopoly," Journal of Economics, Springer, vol. 128(1), pages 47-65, September.
    8. José Méndez‐Naya & José A. Novo‐Peteiro, 2023. "Partial privatization with endogenous choice of strategic variable," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 44(2), pages 1215-1227, March.
    9. Wang, Chia-Chi & Chiou, Jiunn-Rong, 2018. "Optimal privatization policy with Bertrand competition," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 538-546.
    10. Xu, Lili & Matsumura, Toshihiro, 2022. "Welfare-reducing price competition under relative performance delegation with convex costs," Economic Modelling, Elsevier, vol. 112(C).

    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. Yasuhiko Nakamura, 2015. "Endogenous Choice of Strategic Variables in an Asymmetric Duopoly with Respect to the Demand Functions that Firms Face," Manchester School, University of Manchester, vol. 83(5), pages 546-567, September.
    2. Nakamura, Yasuhiko, 2015. "Endogenous choice of strategic incentives in a mixed duopoly with a new managerial delegation contract for the public firm," International Review of Economics & Finance, Elsevier, vol. 35(C), pages 262-277.
    3. 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.
    4. Nakamura, Yasuhiko, 2019. "Combining the endogenous choice of the timing of setting incentive parameters and the contents of strategic contracts in a managerial mixed duopoly," International Review of Economics & Finance, Elsevier, vol. 59(C), pages 207-233.
    5. Yasuhiko Nakamura, 2017. "Choosing Price or Quantity? The Role of Delegation and Network Externalities in a Mixed Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 56(2), pages 174-200, June.
    6. Yasuhiko Nakamura, 2015. "Biased Managers as Strategic Commitment in a Mixed Duopoly with Relative Profit-Maximizers," Journal of Industry, Competition and Trade, Springer, vol. 15(4), pages 323-336, December.
    7. Chang Ray-Yun & Hu Jin-Li & Lin Yan-Shu, 2018. "The Choice of Prices versus Quantities under Outsourcing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-20, July.
    8. Satoh, Atsuhiro & Tanaka, Yasuhito, 2015. "Relative profit maximization and the choice of strategic variables in duopoly," MPRA Paper 63000, University Library of Munich, Germany.
    9. Scrimitore, Marcella, 2013. "Price or quantity? The strategic choice of subsidized firms in a mixed duopoly," Economics Letters, Elsevier, vol. 118(2), pages 337-341.
    10. Haraguchi, Junichi & Matsumura, Toshihiro, 2014. "Price versus quantity in a mixed duopoly with foreign penetration," Research in Economics, Elsevier, vol. 68(4), pages 338-353.
    11. Luciano Fanti & Nicola Meccheri, 2015. "On the Cournot–Bertrand Profit Differential and the Structure of Unionisation in a Managerial Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 54(4), pages 266-287, December.
    12. Matsumura, Toshihiro & Ogawa, Akira, 2012. "Price versus quantity in a mixed duopoly," Economics Letters, Elsevier, vol. 116(2), pages 174-177.
    13. Basak, Debasmita & Wang, Leonard F.S., 2019. "Cournot vs. Bertrand in mixed markets with R&D," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 265-271.
    14. Rupayan Pal, 2014. "Price and quantity competition in network goods duopoly: a reversal result," Economics Bulletin, AccessEcon, vol. 34(2), pages 1019-1027.
    15. Ryo Hashizume & Tatsuhiko Nariu, 2020. "Price and quantity competition with network externalities: Endogenous choice of strategic variables," Manchester School, University of Manchester, vol. 88(6), pages 847-865, December.
    16. Nakamura, Yasuhiko, 2014. "Biased managers as strategic commitment: The relative profit approach," Research in Economics, Elsevier, vol. 68(3), pages 230-238.
    17. Haraguchi, Junichi & Matsumura, Toshihiro & Yoshida, Shohei, 2018. "Competitive pressure from neighboring markets and optimal privatization policy," Japan and the World Economy, Elsevier, vol. 46(C), pages 1-8.
    18. Toshihiro Matsumura & Noriaki Matsushima & Susumu Cato, 2009. "Relative Performance and R&D Competition," ISER Discussion Paper 0752, Institute of Social and Economic Research, Osaka University.
    19. Xu, Lili & Matsumura, Toshihiro, 2022. "Welfare-reducing price competition under relative performance delegation with convex costs," Economic Modelling, Elsevier, vol. 112(C).
    20. Xu, Lili & Chen, Yuyan & Lee, Sang-Ho, 2022. "Emission tax and strategic environmental corporate social responsibility in a Cournot–Bertrand comparison," Energy Economics, Elsevier, vol. 107(C).

    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:eee:ecmode:v:44:y:2015:i:c:p:37-43. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/30411 .

    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.