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

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Bruno Simeone, Friedrich Pukelsheim
Springer Science & Business Media, 9. jan. 2007 - 256 sider
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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.

 

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Innhold

Opposing Compactness to Gerrymandering
19
Nicola Apollonio Ronald I Becker Isabella Lari Federica Ricca Bruno Simeone
42
Simulative and Game Theoretic Approaches
65
How to Elect a Representative Committee Using Approval Balloting 83
82
On Some Distance Aspects in Social Choice Theory
97
Current Issues of Apportionment Methods 167
116
A Theme and Variations
117
A Strategic Problem in Approval Voting
133
A Flawed Procedure for BiProportional Seat Allocation
151
A Gentle Majority Clause for the Apportionment of Committee Seats
177
Degressively Proportional Methods for the Allotment of the European
205
Hidden Mathematical Structures of Voting
221
A Comparison of Electoral Formulae for the Faroese Parliament
235
List of Talks
253

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