Published September 30, 2010 | Version v1
Journal article

Impossibility Theorem in Proportional Representation Problem

  • 1. National Research University-Higher School of Economics 101990 Russia, Moscow, Pokrovsky boulevard, 11 (Russian Federation)

Description

The study examines general axiomatics of Balinski and Young and analyzes existed proportional representation methods using this approach. The second part of the paper provides new axiomatics based on rational choice models. New system of axioms is applied to study known proportional representation systems. It is shown that there is no proportional representation method satisfying a minimal set of the axioms (monotonicity and neutrality).

Additional details

Identifiers

Publishing Information

Journal Title
AIP Conference Proceedings
Journal Volume
1281
Journal Issue
1
Journal Page Range
p. 2155-2158
ISSN
0094-243X
CODEN
APCPCS

Conference

Title
International conference of numerical analysis and applied mathematics 2010
Acronym
ICNAAM 2010
Dates
19-25 Sep 2009
Place
Rhodes (Greece)

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
42028648
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
AXIOMATIC FIELD THEORY; CALCULATION METHODS; GEOMETRY; MATHEMATICAL MODELS
Descriptors DEC
FIELD THEORIES; MATHEMATICS; QUANTUM FIELD THEORY

Optional Information

Notes
(c) 2010 American Institute of Physics