AN OUTLINE OF THE MATHEMATICAL-THEORY OF DEMOCRACY AND ITS APPLICATIONS

Authors
Citation
As. Tanguiane, AN OUTLINE OF THE MATHEMATICAL-THEORY OF DEMOCRACY AND ITS APPLICATIONS, Group decision and negotiation, 6(3), 1997, pp. 205-230
Citations number
10
Categorie Soggetti
Management,"Social, Sciences, Interdisciplinary
ISSN journal
09262644
Volume
6
Issue
3
Year of publication
1997
Pages
205 - 230
Database
ISI
SICI code
0926-2644(1997)6:3<205:AOOTMO>2.0.ZU;2-V
Abstract
This paper summarizes the author's studies in mathematical theory of d emocracy (Tanguiane 1991, 1993, 1994, 1997). The main consideration is the formalization of the notion of representativeness measured by the weight of the coalition represented in each event of decision making. The representativeness is used to estimate the quality of individual representatives (president) and two forms of representative bodies lik e cabinet (named by analogy with the cabinet of ministers) and council (parliament). In particular, we suggest a solution to Arrow's paradox by proving that there always exists an Arrovian dictator who is more representative of the society than a dictator in a proper sense. We al so outline possible applications of the model to Gallup polls, multicr iteria decision making, and analysis of political situations.