Master equation for a kinetic model of a trading market and its analytic solution

被引：68

作者：

Chatterjee, A

Chakrabarti, BK

Stinchcombe, RB

机构：

[1] Saha Inst Nucl Phys, Theoret Condensed Matter Phys Div, Kolkata 700064, W Bengal, India

[2] Saha Inst Nucl Phys, Ctr Appl Math & Computat Sci, Kolkata 700064, W Bengal, India

[3] Univ Oxford, Rudolf Peierls Ctr Theoret Phys, Oxford OX1 3NP, England

来源：

PHYSICAL REVIEW E | 2005年 / 72卷 / 02期

关键词：

D O I：

10.1103/PhysRevE.72.026126

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We analyze an ideal-gas-like model of a trading market with quenched random saving factors for its agents and show that the steady state income (m) distribution P(m) in the model has a power law tail with Pareto index nu exactly equal to unity, confirming the earlier numerical studies on this model. The analysis starts with the development of a master equation for the time development of P(m). Precise solutions are then obtained in some special cases.

引用

页数：4

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