Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exponential wealth distribution: a new approach from functional
  iteration theory   Exponential distribution is ubiquitous in the framework of multi-agent
systems. Usually, it appears as an equilibrium state in the asymptotic time
evolution of statistical systems. It has been explained from very different
perspectives. In statistical physics, it is obtained from the principle of
maximum entropy. In the same context, it can also be derived without any
consideration about information theory, only from geometrical arguments under
the hypothesis of equiprobability in phase space. Also, several multi-agent
economic models based on mappings, with random, deterministic or chaotic
interactions, can give rise to the asymptotic appearance of the exponential
wealth distribution. An alternative approach to this problem in the framework
of iterations in the space of distributions has been recently presented.
Concretely, the new iteration given by $ f_{n+1}(x) =
\int\int_{u+v>x}{f_n(u)f_n(v)\over u+v} dudv.$. It is found that the
exponential distribution is a stable fixed point of the former functional
iteration equation. From this point of view, it is easily understood why the
exponential wealth distribution (or by extension, other kind of distributions)
is asymptotically obtained in different multi-agent economic models.

25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn