Dynamic monopoly with bounded continuously distributed delay

Publisher:
Pergamon
Publication Type:
Journal Article
Citation:
Chaos, Solitions & Fractals, 2013, 47 pp. 66 - 72
Issue Date:
2013-01
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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.
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