IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/75806.html
   My bibliography  Save this paper

Welfare Analysis of Cournot and Bertrand Competition With(out) Investment in R & D

Author

Listed:
  • Tondji, Jean-Baptiste

Abstract

I consider the model of a differentiated duopoly with process R&D when goods are either substitute, complements or independent. I propose a non-cooperative two-stage game with two firms producing differentiated goods. In the first stage, firms decide their technologies and in the second stage, they compete in quantities or prices. I evaluate the social welfare within a framework of Cournot and Bertrand competition models with or without investment in research and development. I prove that the Cournot price can be lower than Bertrand price when the R&D technology is relatively inefficient; thus, Cournot market structure can generate larger consumer's surplus and welfare.

Suggested Citation

  • Tondji, Jean-Baptiste, 2016. "Welfare Analysis of Cournot and Bertrand Competition With(out) Investment in R & D," MPRA Paper 75806, University Library of Munich, Germany, revised 24 Dec 2016.
  • Handle: RePEc:pra:mprapa:75806
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/75806/1/MPRA_paper_75806.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Delbono, Flavio & Denicolo, Vincenzo, 1990. "R & D investment in a symmetric and homogeneous oligopol : Bertrand vs Cournot," International Journal of Industrial Organization, Elsevier, vol. 8(2), pages 297-313, June.
    2. Motta, Massimo, 1993. "Endogenous Quality Choice: Price vs. Quantity Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 41(2), pages 113-131, June.
    3. Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
    4. Leonard Cheng, 1985. "Comparing Bertrand and Cournot Equilibria: A Geometric Approach," RAND Journal of Economics, The RAND Corporation, vol. 16(1), pages 146-152, Spring.
    5. Symeonidis, George, 2003. "Comparing Cournot and Bertrand equilibria in a differentiated duopoly with product R&D," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 39-55, January.
    6. John Sutton, 1997. "One Smart Agent," RAND Journal of Economics, The RAND Corporation, vol. 28(4), pages 605-628, Winter.
    7. Hackner, Jonas, 2000. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
    8. Judy Hsu & X. Wang, 2005. "On Welfare under Cournot and Bertrand Competition in Differentiated Oligopolies," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 27(2), pages 185-191, September.
    9. Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
    Full references (including those not matched with items on IDEAS)

    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. M. Breton & A. Turki & G. Zaccour, 2004. "Dynamic Model of R&D, Spillovers, and Efficiency of Bertrand and Cournot Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 1-25, October.
    2. James A. Brander & Barbara J. Spencer, 2015. "Endogenous Horizontal Product Differentiation under Bertrand and Cournot Competition: Revisiting the Bertrand Paradox," NBER Working Papers 20966, National Bureau of Economic Research, Inc.
    3. Xing Gao & Weijun Zhong, 2016. "Economic incentives in security information sharing: the effects of market structures," Information Technology and Management, Springer, vol. 17(4), pages 361-377, December.
    4. 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.
    5. Jochen Manegold, 2016. "Stackelberg Competition among Intermediaries in a Differentiated Duopoly with Product Innovation," Working Papers CIE 98, Paderborn University, CIE Center for International Economics.
    6. Colombo, Luca & Labrecciosa, Paola, 2015. "On the Markovian efficiency of Bertrand and Cournot equilibria," Journal of Economic Theory, Elsevier, vol. 155(C), pages 332-358.
    7. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
    8. Symeonidis, George, 2003. "Comparing Cournot and Bertrand equilibria in a differentiated duopoly with product R&D," International Journal of Industrial Organization, Elsevier, vol. 21(1), pages 39-55, January.
    9. Lee, DongJoon & Choi, Kangsik & Nariu, Tatsuhiko, 2016. "Endogenous Choice of Price or Quantity Contract with Upstream R&D Investment: Linear Pricing and Two-part Tariff Contract with Bargaining," MPRA Paper 72752, University Library of Munich, Germany.
    10. Ming Chang & Yan-Ching Ho, 2014. "Comparing Cournot and Bertrand equilibria in an asymmetric duopoly with product R&D," Journal of Economics, Springer, vol. 113(2), pages 133-174, October.
    11. Choné, Philippe & Linnemer, Laurent, 2020. "Linear demand systems for differentiated goods: Overview and user’s guide," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    12. Manasakis, Constantine & Vlassis, Minas, 2014. "Downstream mode of competition with upstream market power," Research in Economics, Elsevier, vol. 68(1), pages 84-93.
    13. Arghya Ghosh & Manipushpak Mitra, 2008. "Comparing Bertrand and Cournot Outcomes in the Presence of Public Firms," Discussion Papers 2008-18, School of Economics, The University of New South Wales.
    14. Rupayan Pal, "undated". "The Cournot-Bertrand profit differential: A Reversal result in network goods duopoly," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2013-014, Indira Gandhi Institute of Development Research, Mumbai, India.
    15. Nguyen, Xuan, 2015. "On the efficiency of private and state-owned enterprises in mixed markets," Economic Modelling, Elsevier, vol. 50(C), pages 130-137.
    16. López, Mónica Correa & Nayor, Robin A., 2002. "The Cournot-Bertrand Profit Differential : A Reversal Result In A Differentiated Duopoly With Wage Bargaining," The Warwick Economics Research Paper Series (TWERPS) 631, University of Warwick, Department of Economics.
    17. 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.
    18. Inderst, Roman & Wey, Christian, 2004. "The incentives for takeover in oligopoly," International Journal of Industrial Organization, Elsevier, vol. 22(8-9), pages 1067-1089, November.
    19. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
    20. Lopez, Monica Correa & Naylor, Robin A., 2001. "The Cournot-Bertrand Profit Differential: a reversal result in a differentiated duopoly with wage bargaining," Economic Research Papers 269405, University of Warwick - Department of Economics.

    More about this item

    Keywords

    R&D; Cournot duopoly; Bertrand model; Welfare.;
    All these keywords.

    JEL classification:

    • D60 - Microeconomics - - Welfare Economics - - - General
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • O32 - Economic Development, Innovation, Technological Change, and Growth - - Innovation; Research and Development; Technological Change; Intellectual Property Rights - - - Management of Technological Innovation and R&D

    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:75806. See general information about how to correct material in RePEc.

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

    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 hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.