Scaling Laws in the Macroeconomy

The practice of detecting power laws and scaling behaviors in economics and finance has gained momentum in the last few years, due to the increased use of concepts and methods first developed in statistical physics. Some disappointment has emerged in the economic profession, however, as regards the models proposed so far to theoretically explain these phenomena. In this paper we aim to address this criticism, showing that scaling behaviors can naturally emerge in a multiagent system with optimizing interacting units characterized by financial fragility.

[1]  H. Simon,et al.  ON A CLASS OF SKEW DISTRIBUTION FUNCTIONS , 1955 .

[2]  William A. Brock,et al.  Scaling in Economics: A Reader's Guide , 1999 .

[3]  S. Havlin,et al.  Power law scaling for a system of interacting units with complex internal structure , 1998 .

[4]  A. Kirman Whom Or What Does the Representative Individual Represent , 1992 .

[5]  X. Gabaix Power Laws and the Granular Origins of Aggregate Fluctuations , 2004 .

[6]  Mauro Gallegati,et al.  On the size distribution of firms: additional evidence from the G7 countries , 2003 .

[7]  Rosario N. Mantegna,et al.  An Introduction to Econophysics: Contents , 1999 .

[8]  D. Gatti,et al.  A new approach to business fluctuations: heterogeneous interacting agents, scaling laws and financial fragility , 2003, cond-mat/0312096.

[9]  Herbert A. Simon,et al.  The Size Distribution of Business Firms , 1958 .

[10]  M. Gallegati,et al.  Empirical results on the size distribution of business cycle phases , 2004 .

[11]  Mauro Gallegati,et al.  The dynamic relation between financial positions and investment: evidence from company account data , 1999 .

[12]  Sergey V. Buldyrev,et al.  Scaling behavior in economics: I Epirical results for company growth , 1997, cond-mat/9702082.

[13]  R. Axtell Zipf Distribution of U.S. Firm Sizes , 2001, Science.

[14]  H. Kesten Random difference equations and Renewal theory for products of random matrices , 1973 .

[15]  Yoshi Fujiwara,et al.  Growth and fluctuations of personal income , 2002 .

[16]  J. Scheinkman,et al.  Aggregate Fluctuations from Independent Sectoral Shocks: Self-Organized Criticality in a Model of Production and Inventory Dynamics , 1992 .

[17]  Xavier Gabaix,et al.  The Granular Origins of Aggregate Fluctuations , 2009 .

[18]  H. Takayasu,et al.  Zipf's law in income distribution of companies , 1999 .

[19]  H. Eugene Stanley,et al.  Universal features in the growth dynamics of complex organizations , 1998, cond-mat/9804100.

[20]  M. Marsili,et al.  Interacting Individuals Leading to Zipf's Law , 1998, cond-mat/9801289.

[21]  S. Durlauf Complexity and Empirical Economics , 2005 .

[22]  Jean-Philippe Bouchaud,et al.  Power laws in economics and finance: some ideas from physics , 2001 .

[23]  B. Greenwald,et al.  Financial Market Imperfections and Business Cycles , 1993 .

[24]  M. Gallegati,et al.  Bankruptcy as an exit mechanism for systems with a variable number of components , 2003, cond-mat/0312676.

[25]  J. Bouchaud Power-Laws in Economy and Finance: Some Ideas from Physics , 2000, cond-mat/0008103.

[26]  L. Amaral,et al.  Scaling behaviour in the growth of companies , 1996, Nature.