Concave Oligopolies

Gian-Italo Bischi (), Carl Chiarella, Michael Kopel and Ferenc Szidarovszky ()
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Gian-Italo Bischi: Università di Urbino “Carlo Bo”
Ferenc Szidarovszky: University of Arizona

Chapter Chapter 2 in Nonlinear Oligopolies, 2010, pp 51-101 from Springer

Abstract: 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).

Keywords: Nash Equilibrium; Hopf Bifurcation; Asymptotic Stability; Bifurcation Diagram; Periodic Point (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-02106-0_2

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DOI: 10.1007/978-3-642-02106-0_2

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