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Stochastic delayed dynamics heterogeneous competition with product differentiation

机译:具有产品差异性的随机时滞动力学异质竞争

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摘要

In this paper, we study the heterogeneous duopoly with product differentiation, in which one firm is quantity setter and the other is price setter. The deterministic and stochastic models with delay are presented. For the stochastic disturbance model with delay, sufficient conditions are done so that the steady state is asymptotically stable in mean and in mean square. Using programs in Maple 12 we make some numerical simulations that verify the theoretical results.
机译:在本文中,我们研究了具有产品差异化的异构双头垄断,其中一个企业是数量设定者,另一个是价格设定者。给出了时滞的确定性和随机模型。对于具有延迟的随机扰动模型,要进行足够的条件以使稳态的均值和均方差渐近稳定。使用Maple 12中的程序,我们进行了一些数值模拟,以验证理论结果。

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