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The Birth of Limit Cycles in Nonlinear Oligopolies with Continuously Distributed Information Lags

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Abstract

The dynamic behaviour of the output in nonlinear oligopolies is examined when the equilibrium is locally unstable. Continuously distributed time lags are assumed in obtaining information about "rivals" output as well as in obtaining or implementing information about the firms' own output. The Hopf bifurcation theorem is used to find conditions under which limit cycle motion is born. In addition to the classical Cournot model, labor managed and rent seeking oligopolies are also investigated.

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  • Carl Chiarella & Ferenz Szidarovszky, 1999. "The Birth of Limit Cycles in Nonlinear Oligopolies with Continuously Distributed Information Lags," Working Paper Series 87, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
    • Handle: RePEc:uts:wpaper:87
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    File URL: http://www.finance.uts.edu.au/research/wpapers/wp87.pdf
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    1. Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
    2. Russell, Allen M & Rickard, John A & Howroyd, T D, 1986. "The Effects of Delays on the Stability and Rate of Convergence to Equilibrium of Oligopolies," The Economic Record, The Economic Society of Australia, vol. 62(177), pages 194-198, June.
    3. Allen M. Russell & John A. Rickard & T.D. Howroyd, 1986. "The Effects of Delays on the Stability and Rate of Convergence to Equilibrium of Oligopolies," The Economic Record, The Economic Society of Australia, vol. 62(2), pages 194-198, June.
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    1. Chiarella, Carl & Szidarovszky, Ferenc, 2004. "Dynamic oligopolies without full information and with continuously distributed time lags," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 495-511, August.
    2. Anufriev, Mikhail & Kopányi, Dávid, 2018. "Oligopoly game: Price makers meet price takers," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 84-103.
    3. Matsumoto, Akio & Chiarella, Carl & Szidarovszky, Ferenc, 2013. "Dynamic monopoly with bounded continuously distributed delay," Chaos, Solitons & Fractals, Elsevier, vol. 47(C), pages 66-72.

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