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**From**: "Va'n Pe'ter" <vpethm AT gmail.com>**To**: fizinfo <fizinfo AT lists.kfki.hu>**Subject**: [Fizinfo] Termo Tea**Date**: Wed, 27 Aug 2008 16:16:04 +0200**List-archive**: <http://mailman.kfki.hu/pipermail/fizinfo>**List-id**: ELFT HÍRADÓ <fizinfo.lists.kfki.hu>

Termodinamikai Szakcsoport Szeminariuma

Meghivo

2008. augusztus 29. pentek, 15h 30.

Hely: ELTE, TTK, 3.92.

J. Rosenblatt

Institut National de Sciences Appliquées, F35043 Rennes Cedex, France

INEQUALITIES IN ECONOMICS. THE ROLE OF DISTINGUISHABILITY

Abstract

Inequalities between individuals, firms, countries, arise in

practically all domains of human activity, like incomes, risk of

disease, hothouse gas production, degree of development, etc. We

discuss here how to define and measure such inequalities, in

particular with reference to income inequality indicators. Beyond the

practical interest of such indicators, we remark that they involve two

fundamental categories of economics: money and individuals.

Concerning money, we point out that its purchasing power does not

necessarily coincide with its nominal value. We propose instead to

measure the purchasing power of a given number of monetary units by

the number of spending choices it allows. There is no a priori limit,

other than total available wealth, to individual incomes. Individuals,

on the other hand, occupy each a definite position in society, but

economic life does not depend on what their names are. Monetary units

are indistinguishable from one another, and the same applies to

individuals. The situation is similar to that of quantum statistical

mechanics, where elementary particles called bosons can, like monetary

units, accumulate in a single state, while fermions can occupy only

one state at a time, in the same way as individuals occupy one job at

a time.

On the basis of this analogy, we develop a model of income

inequalities in society. We obtain thereby an optimal distribution

probability depending on three parameters. The latter result from

three constraints, number of individuals, available money amounts and

resulting inequality. We apply this model to incomes in France, U. S.

A. and Hungary and to per capita electricity consumption in the world.

In all cases we obtain very good fits for the whole distribution.

--

Kozreadta: Ván Péter

**[Fizinfo] Termo Tea**,*Va'n Pe'ter, 08/27/2008*

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