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Concave Oligopolies

In: Nonlinear Oligopolies

Author

Listed:
  • Gian-Italo Bischi

    (Università di Urbino “Carlo Bo”)

  • Carl Chiarella

    (University of Technology, Sydney)

  • Michael Kopel

    (University of Graz Institute of Organization and Economics of Institutions University of Graz)

  • Ferenc Szidarovszky

    (University of Arizona)

Abstract

In the previous chapter we have seen that except in very special cases oligopoly models have nonlinear features and therefore can generally exhibit a vast array of dynamical behavior ranging from simple to complicated. Under special conditions however the uniqueness of the equilibrium can be guaranteed, simple conditions can be derived for the local asymptotic stability of the equilibrium with both discrete and continuous time scales, and the global dynamics are less complicated and can be handled with some of the standard tools of nonlinear dynamical systems. In this chapter we will consider concave oligopolies, which are the straightforward generalizations of linear oligopolies and are the most frequently discussed cases in the literature (see for example, Okuguchi and Szidarovszky (1999) and the references therein).

Suggested Citation

  • Gian-Italo Bischi & Carl Chiarella & Michael Kopel & Ferenc Szidarovszky, 2010. "Concave Oligopolies," Springer Books, in: Nonlinear Oligopolies, chapter 0, pages 51-101, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-02106-0_2
    DOI: 10.1007/978-3-642-02106-0_2
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