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Diffusion processes and Penrose's law in voting theory

Wojciech Słomczyński 1Karol Życzkowski 2

1. Jagiellonian University, Institute of Mathematics, ul. Reymonta 4, Kraków 30059, Poland
2. Jagiellonian University, Institute of Physics (IF UJ), Reymonta 4, Kraków 30-059, Poland

Abstract

The power of mathematics as a language of science lies in the fact that it allows us to describe apparently different phenomena by means of a common pattern. In this lecture I explain the relationships between voting systems in the Council of Ministers of the European Union and the Brownian Motion. We show why some quantities (the voting power of a country in the 'fair' voting system, the mean distance of a diffusing particle from the origin) depend on others (population, time) as the square root.

 

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Related papers

Presentation: Oral at 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych", Sociophysics, by Wojciech Słomczyński
See On-line Journal of 2 Ogólnopolskie Sympozjum "Fizyka w Ekonomii i Naukach Społecznych"

Submitted: 2006-03-11 11:43
Revised:   2009-06-07 00:44