IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/42761.html
   My bibliography  Save this paper

Asymptotic relations in Cournot's game

Author

Listed:
  • Guerrazzi, Marco

Abstract

In this note, I derive the asymptotic relation verified by oligopolists' iso-profit curves within Cournot's game. Thereafter, I provide an economic rationale for such a mathematical relation. The results of this exploration suggest that for each firm the asymptotes of the iso-profit curves convey the boundaries beyond which output competitors become net purchasers of the good supplied in the market.

Suggested Citation

  • Guerrazzi, Marco, 2012. "Asymptotic relations in Cournot's game," MPRA Paper 42761, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:42761
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/42761/1/MPRA_paper_42761.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/42779/1/MPRA_paper_42779.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mayer, Thierry, 2000. "Spatial Cournot competition and heterogeneous production costs across locations," Regional Science and Urban Economics, Elsevier, vol. 30(3), pages 325-352, May.
    2. Hahn, F H, 1987. "On Involuntary Unemployment," Economic Journal, Royal Economic Society, vol. 97(388a), pages 1-16, Supplemen.
    3. Guerrazzi, Marco, 2012. "On involuntary unemployment: notes on efficiency-wage competition," MPRA Paper 38140, University Library of Munich, Germany.
    4. 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.
    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. Liang, Wen-Jung & Hwang, Hong & Mai, Chao-Cheng, 2006. "Spatial discrimination: Bertrand vs. Cournot with asymmetric demands," Regional Science and Urban Economics, Elsevier, vol. 36(6), pages 790-802, November.
    2. Krzysztof Kosiec, 2016. "Liberalisation of International Trade – The Case of Asymmetric Countries," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 8(3), pages 143-160, September.
    3. Emmanuel Petrakis & Panagiotis Skartados, 2022. "Vertical Opportunism, Bargaining, and Share-Based Agreements," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 60(4), pages 549-565, June.
    4. Aseem Kaul & Jiao Luo, 2018. "An economic case for CSR: The comparative efficiency of for‐profit firms in meeting consumer demand for social goods," Strategic Management Journal, Wiley Blackwell, vol. 39(6), pages 1650-1677, June.
    5. Bernhofen, Daniel M. & Bernhofen, Laura T., 1999. "On the likelihood of a prisoners' dilemma in a differentiated duopoly," Economics Letters, Elsevier, vol. 64(3), pages 291-294, September.
    6. Alberto Galasso & Mihkel Tombak, 2014. "Switching to Green: The Timing of Socially Responsible Innovation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(3), pages 669-691, September.
    7. Jack (Peiyao) Ma & Andrea Mantovani & Carlo Reggiani & Annette Broocks & Néstor Duch-Brown, 2024. "The Price Effects of Prohibiting Price Parity Clauses: Evidence from International Hotel Groups," Economics Series Working Papers 1043, University of Oxford, Department of Economics.
    8. Miguel Ángel Ropero, 2021. "Entry deterrence when the potential entrant is your competitor in a different market," Southern Economic Journal, John Wiley & Sons, vol. 87(3), pages 1010-1030, January.
    9. Pal, Rupayan, 2010. "Technology adoption in a differentiated duopoly: Cournot versus Bertrand," Research in Economics, Elsevier, vol. 64(2), pages 128-136, June.
    10. Tania Burchardt & Julian Le Grand, 2002. "Constraint and Opportunity: Identifying Voluntary Non-Employment," CASE Papers case55, Centre for Analysis of Social Exclusion, LSE.
    11. Fanti, Luciano, 2013. "Cross-ownership and unions in a Cournot duopoly: When profits reduce with horizontal product differentiation," Japan and the World Economy, Elsevier, vol. 27(C), pages 34-40.
    12. Shohei Yoshida, 2018. "Bargaining power and firm profits in asymmetric duopoly: an inverted-U relationship," Journal of Economics, Springer, vol. 124(2), pages 139-158, June.
    13. Allain, Marie-Laure & Avignon, Rémi & Chambolle, Claire, 2020. "Purchasing alliances and product variety," International Journal of Industrial Organization, Elsevier, vol. 73(C).
    14. Buccella, Domenico & Fanti, Luciano & Gori, Luca, 2021. "A contribution to the theory of R&D investments," GLO Discussion Paper Series 940, Global Labor Organization (GLO).
    15. Yingjue Zhou & Tieming Liu & Gangshu Cai, 2019. "Impact of In-Store Promotion and Spillover Effect on Private Label Introduction," Service Science, INFORMS, vol. 11(2), pages 96-112, June.
    16. Haiyang Xia, 2021. "Price and quantity competition in a differentiated duopoly with heterogeneous beliefs," Manchester School, University of Manchester, vol. 89(1), pages 46-69, January.
    17. Claude d'Aspremont & Rodolphe Dos Santos Ferreira & Louis-André Gérard-Varet, 2007. "Competition For Market Share Or For Market Size: Oligopolistic Equilibria With Varying Competitive Toughness," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(3), pages 761-784, August.
    18. Junjie Zhou & Xiaoshuai Fan & Ying-Ju Chen & Christopher S. Tang, 2021. "Information Provision and Farmer Welfare in Developing Economies," Manufacturing & Service Operations Management, INFORMS, vol. 23(1), pages 230-245, 1-2.
    19. Xu, Lili & Lee, Sang-Ho, 2024. "Endogenous competition with an integrated public utility firm under an output subsidy policy," Utilities Policy, Elsevier, vol. 87(C).
    20. Xin Geng & Harish Krishnan & Maurice Queyranne, 2021. "Cost‐raising internalization in supply chain design," Naval Research Logistics (NRL), John Wiley & Sons, vol. 68(3), pages 295-311, April.

    More about this item

    Keywords

    Cournot's Game; Nash Equilibrium; Asymptotes;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

    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:42761. 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.