Book — 1 online resource (xii, 251 pages) : illustrations Digital: text file; PDF.
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.
(source: Nielsen Book Data)
In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed. (source: Nielsen Book Data)