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Nonlinear Dynamics in Economics and Social Sciences pp 232–237Cite as

Oligopolistic Competition; from Stability to Chaos

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 399))

Abstract

This note deals with the classic Cournot (1838) model of oligopolistic competition, thoroughly reviewed in Tirole (1988). Under discussion is an industry composed of finitely many firms i ∈ I, all producing the same homogeneous good for one competitive market. Firm i furnishes the quantity qi ≥ 0 at cost ci(qi ), thus obtaining the profit

$${{\pi }_{i}} = p(Q){{q}_{i}} - {{c}_{i}}({{q}_{i}}).$$

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References

  • J.-P.Aubin, L’ analyse non linéaire et ses motivations économiques, Masson, Paris (1984).

    Google Scholar 

  • J.-P.Aubin and A. Cellina, Differential inclusions, Springer Verlag, Berlin (1984).

    Book  Google Scholar 

  • M. Benedicks and L. Carleson, “On iterations of 1- ax2 on (-1,1)”, Annals of Mathematics, 122,1–25 (1985):

    Article  Google Scholar 

  • L. Carleson, “Stochastic behavior of deterministic systems”, Journal of Economic Behavior & Organization, vol. 16, no. 1–2, 85–92 (1991).

    Article  Google Scholar 

  • A. Cournot, Recherches sur les Principes Mathématiques de la Théorie des Richesses, Paris (1838).

    Google Scholar 

  • I.Ekeland, Le Calcul, L’imprévu; Les Figures du temps de Kepler a Thom, Seuil, Paris (1984).

    Google Scholar 

  • M. Feigenbaum, “Quantitative universality for a class of non-linear transformations”, Journal of Stat. Phys, 19,25–52 (1978).

    Article  Google Scholar 

  • S.D. Flåm and A. Ben-Israel, “A continuous approach to oligopolistic market equilibrium”, Operations Research, vol. 38,6, 1045–1051 (1990).

    Article  Google Scholar 

  • R. A.Johnson, “Loss of stability and emergence of chaos in dynamical systems”,Journal of Economic Behavior &Organization, vol. 16, no. 1–2, 93–113 (1991).

    Article  Google Scholar 

  • R.T. Rockafellar, Convex snalysis, Princeton University Press, New Jersey (1970).

    Google Scholar 

  • J.Tirole, The theory of industrial organization, MIT Press, Cambridge (1988).

    Google Scholar 

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Author information

Authors and Affiliations

  1. Economics Department, Bergen University, 5008, Norway

    Sjur D. Flåm

Authors
  1. Sjur D. Flåm
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica per le Decisioni Economiche, Finanziarie, Attuariali e Sociali, Università di Firenze, Via Lombroso 6/17, I-50134, Firenze, Italia

    Franco Gori

  2. Dipartimento di Economia Politica, Università di Siena, Piazza San Francesco 1, I-53100, Siena, Italia

    Lucio Geronazzo

  3. Istituto di Matematica e Statistica, Università di Ancona, Via Pizzecolli 37, I-60121, Ancona, Italia

    Marcello Galeotti

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© 1993 Springer-Verlag Berlin Heidelberg

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Flåm, S.D. (1993). Oligopolistic Competition; from Stability to Chaos. In: Gori, F., Geronazzo, L., Galeotti, M. (eds) Nonlinear Dynamics in Economics and Social Sciences. Lecture Notes in Economics and Mathematical Systems, vol 399. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58031-4_11

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  • DOI: https://doi.org/10.1007/978-3-642-58031-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56704-2

  • Online ISBN: 978-3-642-58031-4

  • eBook Packages: Springer Book Archive

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