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Dynamic monopoly with bounded continuously distributed delay

Akio Matsumoto, Carl Chiarella and Ferenc Szidarovszky

Chaos, Solitons & Fractals, 2013, vol. 47, issue C, 66-72

Abstract: A continuously distributed time lag is considered in a monopoly where the time window of past data is bounded from below and its length is fixed. The dynamic behavior of the resulting system is described by a special delayed differential equation with infinite spectrum. The location of the stability switch is determined and a simple rule is developed to determine which ones lead to the loss of stability or the regaining of stability. A simple computer example illustrates the theoretical findings. The distribution delay with finite time lag may be considered as an intermediate case between a finite fixed delay and an infinitely distributed delay, as is usually proposed in the existing literature.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:47:y:2013:i:c:p:66-72

DOI: 10.1016/j.chaos.2012.12.003

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