IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/37093.html
   My bibliography  Save this paper

Asymmetric Cournot duopoly: game complete analysis

Author

Listed:
  • Carfì, David
  • Perrone, Emanuele

Abstract

In this paper we apply the Complete Analysis of Differentiable Games (introduced by D. Carfì in [3], [6], [8], [9]; already employed by himself and others in [4], [5], [7]) and some new algorithms using the software wxMaxima 11.04.0, in order to reach a total scenario knowledge (that is the total knowledge of the payoff space of the interaction) of the classic Cournot Duopoly (1838), viewed as a complex interaction between two competitive subjects, in a particularly interesting asymmetric case. The software wxMaxima is an interface for the computer algebra system Maxima. Maxima is a system for the manipulation of symbolic and numerical expressions, including differentiation, sets, vectors and matrices.

Suggested Citation

  • Carfì, David & Perrone, Emanuele, 2012. "Asymmetric Cournot duopoly: game complete analysis," MPRA Paper 37093, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:37093
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/37093/1/MPRA_paper_37093.pdf
    File Function: original version
    Download Restriction: no
    File URL: https://mpra.ub.uni-muenchen.de/37811/1/MPRA_paper_37811.pdf
    File Function: revised version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Carfì, David, 2008. "Optimal boundaries for decisions," MPRA Paper 29243, University Library of Munich, Germany.
    2. Carfì, David, 2009. "Differentiable game complete analysis for tourism firm decisions," MPRA Paper 29193, 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. David Carfí & Alessia Donato, 2021. "Environmental Management through Coopetitive Urban Waste Recycling in Eco-Industrial Parks," Mathematics, MDPI, vol. 9(19), pages 1-30, October.
    2. David CARFI & Caterina FICI, 2012. "The Government-Taxpayer Game," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 3(1), pages 13-25.
    3. Carfí, David & Donato, Alessia & Fredella, Maria Incoronata & Squillante, Massimo, 2021. "Coopetitive games for environmental sustainability: Climate change and decision global policies," Socio-Economic Planning Sciences, Elsevier, vol. 75(C).
    4. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "Sustainability of global feeding.Coopetitive interaction among vegan and non-vegan food firms," MPRA Paper 88400, University Library of Munich, Germany.
    5. David Carfì & Alessia Donato, 2018. "Cournot-Bayesian General Equilibrium: A Radon Measure Approach," Mathematics, MDPI, vol. 7(1), pages 1-19, December.
    6. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "An environmentally sustainable global economy. A coopetitive model," MPRA Paper 86718, 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. Carfì, David & Perrone, Emanuele, 2011. "Asymmetric Bertrand duopoly: game complete analysis by algebra system Maxima," MPRA Paper 35417, University Library of Munich, Germany.
    2. David CARFI & Caterina FICI, 2012. "The Government-Taxpayer Game," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 3(1), pages 13-25.
    3. Carfì, David & Perrone, Emanuele, 2012. "Game complete analysis of symmetric Cournot duopoly," MPRA Paper 35930, University Library of Munich, Germany.
    4. Carfì, David & Musolino, Francesco, 2012. "Game theory and speculation on government bonds," Economic Modelling, Elsevier, vol. 29(6), pages 2417-2426.
    5. Carfì, David & Musolino, Francesco, 2012. "A coopetitive approach to financial markets stabilization and risk management," MPRA Paper 37098, University Library of Munich, Germany.
    6. Musolino, Francesco & Carfì, David, 2012. "A game theory model for currency markets stabilization," MPRA Paper 39240, University Library of Munich, Germany.
    7. Alessia Donato & David Carfì & Beatrice Blandina, 2018. "Coopetitive Games for Management of Marine Transportation Activity: A Study Case," Mathematics, MDPI, vol. 6(12), pages 1-17, December.
    8. Carfí, David & Musolino, Francesco, 2014. "Speculative and hedging interaction model in oil and U.S. dollar markets with financial transaction taxes," Economic Modelling, Elsevier, vol. 37(C), pages 306-319.
    9. Carfì, David, 2009. "Differentiable game complete analysis for tourism firm decisions," MPRA Paper 29193, University Library of Munich, Germany.
    10. Carfì, David & Musolino, Francesco, 2012. "Game theory model for European government bonds market stabilization: a saving-State proposal," MPRA Paper 39742, University Library of Munich, Germany.
    11. David CARFÌ & Emanuele PERRONE, 2011. "Game Complete Analysis Of Bertrand Duopoly," Theoretical and Practical Research in the Economic Fields, ASERS Publishing, vol. 2(1), pages 4-21.
    12. Carfì, David & Ricciardello, Angela & Agreste, Santa, 2011. "An Algorithm for payoff space in C1 parametric games," MPRA Paper 32099, University Library of Munich, Germany.
    13. Carfì, David & Donato, Alessia & Schilirò, Daniele, 2018. "An environmentally sustainable global economy. A coopetitive model," MPRA Paper 86718, University Library of Munich, Germany.

    More about this item

    Keywords

    Asymmetric Cournot Duopoly; Normal-form Games; Software algorithms in Microeconomic Policy; Complete Analysis of a normal-form game; Pareto optima; valuation of Nash equilibriums; Bargaining solutions;
    All these keywords.

    JEL classification:

    • D2 - Microeconomics - - Production and Organizations
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

    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:37093. 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.