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A note on symmetry breaking in a non linear marketing model
Decisions in Economics and Finance ( IF 1.4 ) Pub Date : 2021-07-27 , DOI: 10.1007/s10203-021-00339-6
Andrea Caravaggio 1 , Lorenzo Cerboni Baiardi 2 , Mauro Sodini 3, 4
Affiliation  

In this paper, we consider the nonlinear discrete-time dynamic model proposed by Bischi and Baiardi (Chaos Solitons Fractals 79:145-156, 2015a). The model considers players with adaptive adjustment mechanisms towards the best reply and a form of inertia in adopting such mechanism. Moreover, we formulate an extension of the original model, where endogenous market size is considered. Through numerical simulations, we show that multiple attractors may exist in the presence of homogeneous agents and the emergence of non-synchronized trajectories both in the short (on-off intermittency) and long (global riddling) run. Therefore, the article highlights that strategic contexts exist in which the players’ knowledge of the market and the adoption of the best reply do not always allow the use of the representative agent’s rhetoric to describe the dynamics of the model.



中文翻译:

关于非线性营销模型中对称性破缺的说明

在本文中,我们考虑了 Bischi 和 Baiardi 提出的非线性离散时间动态模型(Chaos Solitons Fractals 79:145-156, 2015a)。该模型考虑了具有自适应调整机制的参与者,以实现最佳回复以及采用这种机制的惯性形式。此外,我们制定了原始模型的扩展,其中考虑了内生市场规模。通过数值模拟,我们表明在同质代理和非同步轨迹出现的情况下,在短期(开关间歇性)和长期(全局谜题)运行中可能存在多个吸引子。所以,

更新日期:2021-07-28
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