Thermodynamics of firms' growth

The distribution of firms' growth and firms' sizes is a topic under intense scrutiny. In this paper, we show that a thermodynamic model based on the maximum entropy principle, with dynamical prior information, can be constructed that adequately describes the dynamics and distribution of fi...

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Detalles Bibliográficos
Autores principales: Zambrano, Eduardo, Hernando de Castro, Alberto, Fernández Bariviera, Aurelio, Hernando, R., Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/87275
Aporte de:
id I19-R120-10915-87275
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Firms' growth
Thermodynamics
Zipf's law
spellingShingle Física
Firms' growth
Thermodynamics
Zipf's law
Zambrano, Eduardo
Hernando de Castro, Alberto
Fernández Bariviera, Aurelio
Hernando, R.
Plastino, Ángel Luis
Thermodynamics of firms' growth
topic_facet Física
Firms' growth
Thermodynamics
Zipf's law
description The distribution of firms' growth and firms' sizes is a topic under intense scrutiny. In this paper, we show that a thermodynamic model based on the maximum entropy principle, with dynamical prior information, can be constructed that adequately describes the dynamics and distribution of firms' growth. Our theoretical framework is tested against a comprehensive database of Spanish firms, which covers, to a very large extent, Spain's economic activity, with a total of 1 155 142 firms evolving along a full decade. We show that the empirical exponent of Pareto's law, a rule often observed in the rank distribution of large-size firms, is explained by the capacity of economic system for creating/destroying firms, and that can be used to measure the health of a capitalist-based economy. Indeed, our model predicts that when the exponent is larger than 1, creation of firms is favoured; when it is smaller than 1, destruction of firms is favoured instead; and when it equals 1 (matching Zipf's law), the system is in a full macroeconomic equilibrium, entailing 'free' creation and/or destruction of firms. For medium and smaller firmsizes, the dynamical regime changes, the whole distribution can no longer be fitted to a single simple analytical form and numerical prediction is required. Our model constitutes the basis for a full predictive framework regarding the economic evolution of an ensemble of firms. Such a structure can be potentially used to develop simulations and test hypothetical scenarios, such as economic crisis or the response to specific policy measures.
format Articulo
Articulo
author Zambrano, Eduardo
Hernando de Castro, Alberto
Fernández Bariviera, Aurelio
Hernando, R.
Plastino, Ángel Luis
author_facet Zambrano, Eduardo
Hernando de Castro, Alberto
Fernández Bariviera, Aurelio
Hernando, R.
Plastino, Ángel Luis
author_sort Zambrano, Eduardo
title Thermodynamics of firms' growth
title_short Thermodynamics of firms' growth
title_full Thermodynamics of firms' growth
title_fullStr Thermodynamics of firms' growth
title_full_unstemmed Thermodynamics of firms' growth
title_sort thermodynamics of firms' growth
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/87275
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AT hernandodecastroalberto thermodynamicsoffirmsgrowth
AT fernandezbarivieraaurelio thermodynamicsoffirmsgrowth
AT hernandor thermodynamicsoffirmsgrowth
AT plastinoangelluis thermodynamicsoffirmsgrowth
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