dorsal/arxiv
View SchemaEndo- vs. Exo-genous shocks and relaxation rates in book and music "sales"
| Authors | R. Lambiotte, M. Ausloos |
|---|---|
| Categories | |
| ArXiv ID | physics/0509107 |
| URL | https://arxiv.org/abs/physics/0509107 |
| DOI | 10.1016/j.physa.2005.08.047 |
| Journal | Physica A, 362 (2006) 485-494 |
Abstract
In this paper, we analyze the response of music and book sales to an external field and to 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 similar way to a similar ''external shock'', indicating roads to universality features. In contrast to Sornette et al. [Phys. Rev. Lett. {93}, 228701 (2004)] who seemed to find power law behaviors, 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 111 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.
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"abstract": "In this paper, we analyze the response of music and book sales to an external\nfield and to buyer herding. We distinguish endogenous and exogenous shocks. We\nfocus on some case studies, whose data have been collected from ranking on\namazon.com. We show that an ensemble of equivalent systems quantitatively\nrespond in a similar way to a similar \u0027\u0027external shock\u0027\u0027, indicating roads to\nuniversality features. In contrast to Sornette et al. [Phys. Rev. Lett. {93},\n228701 (2004)] who seemed to find power law behaviors, in particular at long\ntimes, - a law interpreted in terms of an epidemic activity, we observe that\nthe relaxation process can be as well seen as an exponential one that saturates\ntoward an asymptotic state, itself different from the pre-shock state. By\nstudying an ensemble of 111 shocks, on books or records, we show that exogenous\nand endogenous shocks are discriminated by their short-time behaviour: the\nrelaxation time seems to be twice shorter in endogenous shocks than in\nexogenous ones. We interpret the finding through a simple thermodynamic model\nwith a dissipative force.",
"arxiv_id": "physics/0509107",
"authors": [
"R. Lambiotte",
"M. Ausloos"
],
"categories": [
"physics.soc-ph"
],
"doi": "10.1016/j.physa.2005.08.047",
"journal_ref": "Physica A, 362 (2006) 485-494",
"title": "Endo- vs. Exo-genous shocks and relaxation rates in book and music \"sales\"",
"url": "https://arxiv.org/abs/physics/0509107"
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