Analyzing money distributions in `ideal gas' models of markets
| dc.creator | Chatterjee, Arnab | |
| dc.creator | Chakrabarti, Bikas K. | |
| dc.creator | Stinchcombe, Robin B. | |
| dc.date | 2005-05-06 | |
| dc.date.accessioned | 2026-07-07T12:11:26Z | |
| dc.date.available | 2026-07-07T12:11:26Z | |
| dc.description | We analyze an ideal gas like models of a trading market. We propose a new fit for the money distribution in the fixed or uniform saving market. For the marketwith quenched random saving factors for its agents we show that the steady state income ($m$) distribution $P(m)$ in the model has a power law tail with Pareto index $ν$ exactly equal to unity, confirming the earlier numerical studies on this model. We analyze the distribution of mutual money difference and also develop a master equation for the time development of $P(m)$. Precise solutions are then obtained in some special cases. | |
| dc.description | 6 pages, 1 eps figure, Springer class file svmult.cls; To appear in "Practical Fruits of Econophysics", Ed. H. Takayasu (Springer-Verlag Tokyo), Proc. 3rd Nikkei Econophysics Symposium, Tokyo, Nov 2004 | |
| dc.identifier | https://arxiv.org/abs/physics/0505047 | |
| dc.identifier | http://arxiv.org/abs/physics/0505047 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/210218 | |
| dc.subject | Physics and Society | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Statistical Finance | |
| dc.title | Analyzing money distributions in `ideal gas' models of markets | |
| dc.type | text |