Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of tax dynamics on linearly growing processes under stochastic
  resetting: a possible economic model   We study a system of $N$ agents, whose wealth grows linearly, under the
effect of stochastic resetting and interacting via a tax-like dynamics -- all
agents donate a part of their wealth, which is, in turn, redistributed equally
among all others. This mimics a socio-economic scenario where people have fixed
incomes, suffer individual economic setbacks, and pay taxes to the state. The
system always reaches a stationary state, which shows a trivial exponential
wealth distribution in the absence of tax dynamics. The introduction of the tax
dynamics leads to several interesting features in the stationary wealth
distribution. In particular, we analytically find that an increase in taxation
for a homogeneous system (where all agents are alike) results in a transition
from a society where agents are most likely poor to another where rich agents
are more common. We also study inhomogeneous systems, where the growth rates of
the agents are chosen from a distribution, and the taxation is proportional to
the individual growth rates. We find an optimal taxation, which produces a
complete economic equality (average wealth is independent of the individual
growth rates), beyond which there is a reverse disparity, where agents with low
growth rates are more likely to be rich. We consider three income distributions
observed in the real world and show that they exhibit the same qualitative
features. Our analytical results are in the $N\to\infty$ limit and backed by
numerical simulations.

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The categories of this paper are: math
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: adap-org