Multidimensional Polarization Index and its Application to an Analysis of the Russian State Duma

TL;DR

This paper introduces a multidimensional extension of the Aleskerov-Golubenko polarization index, proposing multiple versions based on different distance functions and analyzing their fundamental properties.

Contribution

It develops a novel multidimensional polarization index with various versions, expanding the analytical tools for measuring polarization.

Findings

Multiple versions of the index are proposed.

The basic properties of the index are examined.

Application to the Russian State Duma demonstrates its utility.

Abstract

The multidimensional extension of the Aleskerov-Golubenko polarization index is developed. Several versions of the polarization index are proposed based on different distance functions. Basic properties of the index are examined.