Mathematics and Democracy: Recent Advances in Voting Systems and Collective Choice

By Friedrich Pukelsheim

Book Overview

Power Indices Taking into Account Agents' Preferences.- The Sunfish Against the Octopus: Opposing Compactness to Gerrymandering.- Apportionment: Uni- and Bi-Dimensional.- Minimum Total Deviation Apportionments.- Comparison of Electoral Systems: Simulative and Game Theoretic Approaches.- How to Elect a Representative Committee Using Approval Balloting.- On Some Distance Aspects in Social Choice Theory.- Algorithms for Biproportional Apportionment.- Distance from Consensus: A Theme and Variations.- A Strategic Problem in Approval Voting.- The Italian Bug: A Flawed Procedure for Bi-Proportional Seat Allocation.- Current Issues of Apportionment Methods.- A Gentle Majority Clause for the Apportionment of Committee Seats.- Allotment According to Preferential Vote: Ecuador's Elections.- Degressively Proportional Methods for the Allotment of the European Parliament Seats Amongst the EU Member States.- Hidden Mathematical Structures of Voting.- A Comparison of Electoral Formulae for the Faroese Parliament.

• Format: Paperback
• Language: English
• ISBN: 3642071333
• ISBN13: 9783642071331
• Release Date: November 2010
• Publisher: Springer
• Length: 256 Pages
• Weight: 0.84 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"