Physics – Physics and Society
Scientific paper
2011-08-23
Phys. Rev. E 84, 051118 (2011)
Physics
Physics and Society
8 pages revtex4
Scientific paper
We investigate the detailed dynamics of gains and losses made by agents in some kinetic models of wealth exchange. The concept of a walk in an abstract gain-loss space for the agents had been introduced in an earlier work. For models in which agents do not save, or save with uniform saving propensity, this walk has diffusive behavior. In case the saving propensity $\lambda$ is distributed randomly ($0 \leq \lambda < 1$), the resultant walk showed a ballistic nature (except at a particular value of $\lambda^* \approx 0.47$). Here we consider several other features of the walk with random $\lambda$. While some macroscopic properties of this walk are comparable to a biased random walk, at microscopic level, there are gross differences. The difference turns out to be due to an antipersistent tendency towards making a gain (loss) immediately after making a loss (gain). This correlation is in fact present in kinetic models without saving or with uniform saving as well, such that the corresponding walks are not identical to ordinary random walks. In the distributed saving case, antipersistence occurs with a simultaneous overall bias.
Chatterjee Arnab
Goswami Sanchari
Sen Parongama
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