A generalized statistical model for the size distribution of wealth

作者：Clementi F^*; Gallegati M; Kaniadakis G

来源：Journal of Statistical Mechanics: Theory and Experiment , 2012, P12006.

DOI：10.1088/1742-5468/2012/12/P12006

• rigorous results in statistical mechanics
• applications to game theory and mathematical economics
• scaling in socio-economic systems

In a recent paper in this journal (Clementi et al 2009 J. Stat. Mech. P02037), we proposed a new, physically motivated, distribution function for modeling individual incomes, having its roots in the framework of the kappa-generalized statistical mechanics. The performance of the kappa-generalized distribution was checked against real data on personal income for the United States in 2003. In this paper we extend our previous model so as to be able to account for the distribution of wealth. Probabilistic functions and inequality measures of this generalized model for wealth distribution are obtained in closed form. In order to check the validity of the proposed model, we analyze the US household wealth distributions from 1984 to 2009 and conclude an excellent agreement with the data that is superior to any other model already known in the literature.

• 出版日期2012-12