Centre for Modeling and Simulation
Savitribai Phule Pune University All Models Are False, Some Are Useful

Technical Report CMS-TR-20090130


Title Effects of Introduction of New Resources and Fragmentation of Existing Resources on Limiting Wealth Distribution in Asset Exchange Models
Author/s M. Ali Saif
Department of Physics, Savitribai Phule Pune University, Pune 411 007 India


Prashant M. Gade
Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411 007 India
Abstract Pareto law, which states that wealth distribution in societies has a power-law tail, has been the subject of intensive investigations in the statistical physics community. Several models have been employed to explain this behavior. However, most of the agent based models assume the conservation of number of agents and wealth. Both these assumptions are unrealistic. In this paper, we study the limiting wealth distribution when one or both of these assumptions are not valid. Given the universality of the law, we have tried to study the wealth distribution from the asset exchange models point of view. We consider models in which (a) new agents enter the market at a constant rate (b) richer agents fragment with higher probability introducing newer agents in the system (c) both fragmentation and entry of new agents is taking place. While models (a) and (c) do not conserve total wealth or number of agents, model (b) conserves total wealth. All these models lead to a power-law tail in the wealth distribution pointing to the possibility that more generalized asset exchange models could help us to explain the emergence of a power-law tail in wealth distribution.
Keywords
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Citing This Document M. Ali Saif, and Prashant M. Gade , Effects of Introduction of New Resources and Fragmentation of Existing Resources on Limiting Wealth Distribution in Asset Exchange Models . Technical Report CMS-TR-20090130 of the Centre for Modeling and Simulation, Savitribai Phule Pune University, Pune 411007, India (2009); available at http://cms.unipune.ac.in/reports/.
Notes, Published Reference, Etc. Published as Physica A: Statistical Mechanics and its Applications, Volume 388, Issue 5, 1 March 2009, Pages 697-704. doi:10.1016/j.physa.2008.11.004
Contact gade AT cms.unipune.ac.in
ali AT cms.unipune.ac.in
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