Endo- vs. exogenous shocks and relaxation rates in book and music "sales"

Endo- vs. exogenous shocks and relaxation rates in book and music "sales"
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DOI:
10.1016/j.physa.2005.08.047
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发表时间:
2006-04-01
影响因子:
3.3
通讯作者:
Ausloos, M
Ausloos, M
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Lambiotte, R;Ausloos, M

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在本文中,我们分析了音乐和图书销售的外部场和买方羊群效应的反应。我们区分了内源性和外源性冲击。本文重点介绍了一些案例研究,其数据来源于亚马逊网站的排名。我们表明,等效系统的合奏定量响应以相同的方式类似的“外部冲击”,指示道路的普遍性特征。与Sornette等人[Phys. Rev. Lett. 93(2004)228701],他似乎发现了幂律行为,特别是在长时间内,一个解释为流行病活动的定律,我们观察到,松弛过程也可以被视为一个指数过程,该过程向渐近状态饱和,其本身不同于冲击前的状态。通过研究一个合奏的I I I冲击,在书籍或记录,我们表明,外源性和内源性冲击的歧视,他们的短时间的行为:松弛时间似乎是两倍短于内源性冲击比外源性的。我们通过一个简单的热力学模型与耗散力来解释这一发现。(c)2005 Elsevier B.V.保留所有权利。
In this paper, we analyse the response of music and book sales to an external field and a buyer herding. We distinguish endogenous and exogenous shocks. We focus on some case studies, whose data have been collected from ranking on amazon.com. We show that an ensemble of equivalent systems quantitatively respond in a same way to a similar "external shock", indicating roads to universality features. In contrast to Sornette et al. [Phys. Rev. Lett. 93 (2004) 228701] who seemed to find power-law behaviours, in particular at long times, a law interpreted in terms of an epidemic activity, we observe that the relaxation process can be as well seen as an exponential one that saturates toward an asymptotic state, itself different from the pre-shock state. By studying an ensemble of I I I shocks, on books or records, we show that exogenous and endogenous shocks are discriminated by their short-time behaviour: the relaxation time seems to be twice shorter in endogenous shocks than in exogenous ones. We interpret the finding through a simple thermodynamic model with a dissipative force. (c) 2005 Elsevier B.V. All rights reserved.