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
收藏
页数：4
相关论文
共 28 条
[1]  
[Anonymous], 1949, Human behaviour and the principle of least-effort
[2]   Growth and fluctuations of personal and company's income [J].
Aoyama, H ;
Souma, W ;
Fujiwara, Y .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 324 (1-2) :352-358
[3]  
Chakrabarti B. K., 1995, Indian Journal of Physics, Part B, V69B, P681
[4]  
Chakrabarti BK, 2004, APPLICATION OF ECONOPHYSICS, PROCEEDINGS, P280
[5]   Statistical mechanics of money: how saving propensity affects its distribution [J].
Chakraborti, A ;
Chakrabarti, BK .
EUROPEAN PHYSICAL JOURNAL B, 2000, 17 (01) :167-170
[6]   Pareto law in a kinetic model of market with random saving propensity [J].
Chatterjee, A ;
Chakrabarti, BK ;
Manna, SS .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2004, 335 (1-2) :155-163
[7]   Money in gas-like markets: Gibbs and Pareto laws [J].
Chatterjee, A ;
Chakrabarti, BK ;
Manna, SS .
PHYSICA SCRIPTA, 2003, T106 :36-38
[8]  
CHATTERJEE A, 2005, ECNOPHYSICS WEALTH D
[9]   Power law tails in the Italian personal income distribution [J].
Clementi, F ;
Gallegati, M .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 350 (2-4) :427-438
[10]   Analytic treatment of a trading market model [J].
Das, A ;
Yarlagadda, S .
PHYSICA SCRIPTA, 2003, T106 :39-40
123