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On the irreconcilability of Pareto and Gibrat laws
Authors:Giulio Bottazzi
Affiliation:Center for the Analysis of Financial and Economic Dynamics, Laboratory of Economics and Management, Scuola Superiore Sant’Anna, P.zza Martiri della Libertà 33, 56127, Pisa, Italy
Abstract:If business firms face a multiplicative growth process in which their growth rates are Laplace distributed and independent from their sizes, the size cannot be distributed according to a stationary Pareto distribution. Recent contributions, using formal arguments, seem to contrast with these statements. We prove that the proposed formal results are wrong.
Keywords:Firm growth   Gibrat&rsquo  s law   Power law distribution   Laplace distribution
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