Mathematics and democracy. Recent advaces in voiting systems

✍ Scribed by Bruno Simeone, Friedrich Pukelsheim

• Publisher: Springer
• Year: 2006
• Tongue: English
• Leaves: 259
• Series: Studies in Choice and Welfare
• Edition: 1
• Category: Library

✦ Synopsis

The study of Voting Systems and Collective Choice lies at the crossroad of social and exact sciences. The former ones focus on the development of electoral systems in the context of the changing needs of societies; the latter ones deal with the formal study of electoral mechanisms, whose underlying axioms reflect universal principles such as equity, representation, stability, and consistency. 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.

✦ Table of Contents

front-matter.pdf......Page 1
01.pdf......Page 12
02.pdf......Page 30
03.pdf......Page 53
04.pdf......Page 64
05.pdf......Page 74
06.pdf......Page 91
07.pdf......Page 104
08.pdf......Page 112
09.pdf......Page 124
10.pdf......Page 140
11.pdf......Page 158
12.pdf......Page 173
13.pdf......Page 183
14.pdf......Page 195
15.pdf......Page 211
16.pdf......Page 227
17.pdf......Page 241
back-matter.pdf......Page 258