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Competition Among Companies Coexistence and Extinction
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Competition Among Companies: Coexistence and Extinction
Marcelo Kuperman1, ? and Horacio S. Wio1, 2, ?
1Centro Ato?mico Bariloche and Instituto Balseiro, 8400 S. C. de Bariloche, Argentina
2Instituto Mediterra?neo de Estudios Avanzados, IMEDEA (CSIC-UIB),Campus UIB, 07071-Palma de Mallorca, Spain
(Dated: February 1, 2008)
We study a spatially homogeneous model of a market where several agents or companies compete
for a wealth resource. In analogy with ecological systems the simplest case of such models shows
a kind of “competitive exclusion” principle. However, the inclusion of terms corresponding for
instance to “company efficiency” or to (ecological) “intracompetition” shows that, if the associated
parameter overcome certain threshold values, the meaning of “strong” and “weak” companies should
be redefined. Also, by adequately adjusting such a parameter, a company can induce the ”extinction”
of one or more of its competitors.
PACS numbers: 89.65.Gh, 87.23.Cc, 05.45.-a
INTRODUCTION
During the last few years we have witnessed a wealth of
work on the application of methods of statistical physics
to the study of economic problems configuring what some
authors called econophysics [1, 2, 3, 4]. Within this
framework a great deal of effort was dedicated to the
analysis of economic data ranging from stock exchange
fluctuations [1], production models, size distribution of
companies, the appearance of money, effects of control
on the market to market critical properties [5]. Another
problem that attracted enormous interest was the origin
of power (Paretto) laws, and lognormal distribution with
power law tails, for the income of individuals, wealth dis-
tribution, debt of bankrupt companies [6]. An interesting
source of several mathematical descriptions and models
used in economical and sociological contexts can be found
in [7].
Here, our interest is the study, in a deterministic way,
of aspects of the co
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