# Exponential wealth distribution : a new approach from functional iteration theory*

Ricardo López-Ruiz; José-Luis López; Xavier Calbet

ESAIM: Proceedings (2012)

- Volume: 36, page 189-196
- ISSN: 1270-900X

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topLópez-Ruiz, Ricardo, López, José-Luis, and Calbet, Xavier. Fournier-Prunaret, D., Gardini, L., and Reich, L., eds. " Exponential wealth distribution : a new approach from functional iteration theory*." ESAIM: Proceedings 36 (2012): 189-196. <http://eudml.org/doc/251191>.

@article{López2012,

abstract = {Different approaches are possible in order to derive the exponential regime in statistical systems. Here, a new functional equation is proposed in an economic context to explain the wealth exponential distribution. Concretely, the new iteration [1] given by\begin\{equation\} f\_\{n+1\}(x) =
\int\!\!\int\_\{u+v>x\}\,\{f\_n(u)f\_n(v)\over u+v\} \; \{\mathrm d\}u\{\mathrm d\}v \,.
\nonumber \label\{syst1\} \end\{equation\}It is found that the exponential distribution is a stable fixed point of this 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.},

author = {López-Ruiz, Ricardo, López, José-Luis, Calbet, Xavier},

editor = {Fournier-Prunaret, D., Gardini, L., Reich, L.},

journal = {ESAIM: Proceedings},

keywords = {Econophysics; Wealth distributions; Random models; Statistical equilibrium; econophysics; wealth distributions; random models; statistical equilibrium},

language = {eng},

month = {8},

pages = {189-196},

publisher = {EDP Sciences},

title = { Exponential wealth distribution : a new approach from functional iteration theory*},

url = {http://eudml.org/doc/251191},

volume = {36},

year = {2012},

}

TY - JOUR

AU - López-Ruiz, Ricardo

AU - López, José-Luis

AU - Calbet, Xavier

AU - Fournier-Prunaret, D.

AU - Gardini, L.

AU - Reich, L.

TI - Exponential wealth distribution : a new approach from functional iteration theory*

JO - ESAIM: Proceedings

DA - 2012/8//

PB - EDP Sciences

VL - 36

SP - 189

EP - 196

AB - Different approaches are possible in order to derive the exponential regime in statistical systems. Here, a new functional equation is proposed in an economic context to explain the wealth exponential distribution. Concretely, the new iteration [1] given by\begin{equation} f_{n+1}(x) =
\int\!\!\int_{u+v>x}\,{f_n(u)f_n(v)\over u+v} \; {\mathrm d}u{\mathrm d}v \,.
\nonumber \label{syst1} \end{equation}It is found that the exponential distribution is a stable fixed point of this 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.

LA - eng

KW - Econophysics; Wealth distributions; Random models; Statistical equilibrium; econophysics; wealth distributions; random models; statistical equilibrium

UR - http://eudml.org/doc/251191

ER -

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