IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/37267.html
   My bibliography  Save this paper

Contributions to oligopoly theory

Author

Listed:
  • Pavlopoulos, Antonios

Abstract

In the context of the Cournot model a demand function parameter is treated as the dual of the firm’s profit. Following the demand theory’s duality approach it’s possible to introduce the concept of the compensated reaction function (or compensated best-response function), as well as the concepts of net strategic complementarity/substitutability. The firm’s reaction function is analysed into a type-1 and a type-2 effect, which are the counterparts, respectively, of the demand theory substitution and income effects. Further, new results are obtained regarding Cournot equilibrium in the case of profit functions which are homogeneous in their arguments.

Suggested Citation

  • Pavlopoulos, Antonios, 2012. "Contributions to oligopoly theory," MPRA Paper 37267, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:37267
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/37267/1/MPRA_paper_37267.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
    2. Charles D. Kolstad & Lars Mathiesen, 1987. "Necessary and Sufficient Conditions for Uniqueness of a Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 681-690.
    3. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    4. Seade, Jesus, 1980. "The stability of cournot revisited," Journal of Economic Theory, Elsevier, vol. 23(1), pages 15-27, August.
    5. F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," Review of Economic Studies, Oxford University Press, vol. 29(4), pages 329-331.
    6. Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
    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. Hoernig, Steffen H., 2003. "Existence of equilibrium and comparative statics in differentiated goods Cournot oligopolies," International Journal of Industrial Organization, Elsevier, vol. 21(7), pages 989-1019, September.
    2. Leahy, Dermot & Neary, J. Peter, 2005. "Symmetric research joint ventures: Cooperative substitutes and complements," International Journal of Industrial Organization, Elsevier, vol. 23(5-6), pages 381-397, June.
    3. Cars H. Hommes & Marius I. Ochea & Jan Tuinstra, 2018. "Evolutionary Competition Between Adjustment Processes in Cournot Oligopoly: Instability and Complex Dynamics," Dynamic Games and Applications, Springer, vol. 8(4), pages 822-843, December.
    4. Zhang, Anming & Zhang, Yimin, 1996. "Stability of a Cournot-Nash equilibrium: The multiproduct case," Journal of Mathematical Economics, Elsevier, vol. 26(4), pages 441-462.
    5. Collie, David, 1992. "International Trade and Cournot Equilibrium: Existence, Uniqueness and Comparative Statics," Bulletin of Economic Research, Wiley Blackwell, vol. 44(1), pages 55-66, January.
    6. Droste, Edward & Hommes, Cars & Tuinstra, Jan, 2002. "Endogenous fluctuations under evolutionary pressure in Cournot competition," Games and Economic Behavior, Elsevier, vol. 40(2), pages 232-269, August.
    7. Jinji, Naoto, 2014. "Comparative statics for oligopoly: A generalized result," Economics Letters, Elsevier, vol. 124(1), pages 79-82.
    8. Dastidar, Krishnendu Ghosh, 2000. "Is a Unique Cournot Equilibrium Locally Stable?," Games and Economic Behavior, Elsevier, vol. 32(2), pages 206-218, August.
    9. Luciano Fanti & Domenico Buccella, 2021. "Tax evasion and competition in a differentiated duopoly," Economia e Politica Industriale: Journal of Industrial and Business Economics, Springer;Associazione Amici di Economia e Politica Industriale, vol. 48(3), pages 385-411, September.
    10. R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," Economics Discussion Paper Series 0514, Economics, The University of Manchester.
    11. Emilie Caldeira & Martial Foucault & Gregoire Rota-Graziosi, 2015. "Decentralization in Africa and the nature of local governments’ competition: evidence from Benin," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(6), pages 1048-1076, December.
    12. Cherchye, Laurens & Demuynck, Thomas & De Rock, Bram, 2013. "The empirical content of Cournot competition," Journal of Economic Theory, Elsevier, vol. 148(4), pages 1552-1581.
    13. Hefti, Andreas, 2016. "On the relationship between uniqueness and stability in sum-aggregative, symmetric and general differentiable games," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 83-96.
    14. Julien, Ludovic A., 2017. "On noncooperative oligopoly equilibrium in the multiple leader–follower game," European Journal of Operational Research, Elsevier, vol. 256(2), pages 650-662.
    15. Richard Cornes & Jun-ichi Itaya, 2016. "Alternative Objectives in an Oligopoly Model: An Aggregative Game Approach," CESifo Working Paper Series 6191, CESifo.
    16. Petros G. Sekeris & Kevin Siqueira, 2021. "Payoff-Improving Competition: Games with Negative Externalities," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 58(3), pages 455-474, May.
    17. Kline, J. Jude, 2000. "Research joint ventures and the cost paradox," International Journal of Industrial Organization, Elsevier, vol. 18(7), pages 1049-1065, October.
    18. Park, Jong-Hun & Zhang, Anming & Zhang, Yimin, 2001. "Analytical models of international alliances in the airline industry," Transportation Research Part B: Methodological, Elsevier, vol. 35(9), pages 865-886, November.
    19. Hamilton, Stephen F. & Sunding, David L., 2000. "Product liability, entry incentives and market structure," International Review of Law and Economics, Elsevier, vol. 20(2), pages 269-283, June.
    20. Rajeev K. Tyagi, 1999. "On the Effects of Downstream Entry," Management Science, INFORMS, vol. 45(1), pages 59-73, January.

    More about this item

    Keywords

    Cournot model; compensated reaction function; net strategic complementarity/substitutability;
    All these keywords.

    JEL classification:

    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection

    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:37267. 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.