title: Power law distribution of wealth in population based on a modified Equíluz-Zimmermann model.
abstract: We propose a money-based model for the power law distribution (PLD) of wealth in an economically interacting population. It is introduced as a modification of the Equíluz and Zimmermann (EZ) model for crowding and information transmission in financial markets. Still, it must be stressed that in the EZ model a PLD without exponential correction is obtained only for a particular parameter, while our pattern will give the exact PLD within a wide range. The PLD exponent depends on the model parameters in a non-trivial way and is exactly calculated in this paper. The numerical results are in excellent agreement with the analytic prediction, and also comparable with empirical data of wealth distribution.
authors.affiliation: Department of Modern Physics and The Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, China.
authors.forename: Yan-Bo
authors.initials: YB
authors.lastname: Xie
authors.forename: Bing-Hong
authors.initials: BH
authors.lastname: Wang
authors.forename: Bo
authors.initials: B
authors.lastname: Hu
authors.forename: Tao
authors.initials: T
authors.lastname: Zhou