Disposing Dictators, Demystifying Voting Paradoxes

Informationen zum Autor Donald G. Saari is Distinguished Professor of Mathematics and Economics and Honorary Professor of Logic and Philosophy of Science at the University of California-Irvine! where he is Director of the Institute for Mathematical Behavioral Sciences. He previously served on the faculty of Northwestern University from 1968 to 2000! where he held the Pancoe Professorship of Mathematics. A Member of the U.S. National Academy of Sciences! Fellow of the American Academy of Arts and Sciences! and Fellow of the American Association for the Advancement of Science! Professor Saari is the former Chief Editor of the Bulletin of the American Mathematical Society. The author of more than 170 published papers! he has also written numerous books! including Basic Geometry of Voting (1995)! Decisions and Elections: Explaining the Unexpected (Cambridge University Press! 2001)! Chaotic Elections! A Mathematician Looks at Voting (2001)! The Way It Was: Mathematics from the Early Years of the Bulletin (2003)! and Collisions! Rings! and Other Newtonian N-Body Problems (2005). Klappentext This book is a positive analysis of voting 'paradoxes' and argues that negative 'impossibility' results are not justified. Zusammenfassung For more than two centuries! bad news and negative assertions expressed in innumerable voting paradoxes and theorems have asserted the impossibility of doing what seems to be natural in voting and decision rules. This book provides a positive take on the area. Inhaltsverzeichnis 1. Subtle complexity of social choice; 2. Dethroning dictators; 3. Voting dictionaries; 4. Explaining all voting paradoxes; 5. Deliver us from plurality vote; 6. Appendix.

Texte du rabat

This book is a positive analysis of voting 'paradoxes' and argues that negative 'impossibility' results are not justified.

Résumé
For more than two centuries, bad news and negative assertions expressed in innumerable voting paradoxes and theorems have asserted the impossibility of doing what seems to be natural in voting and decision rules. This book provides a positive take on the area.

Contenu

1. Subtle complexity of social choice; 2. Dethroning dictators; 3. Voting dictionaries; 4. Explaining all voting paradoxes; 5. Deliver us from plurality vote; 6. Appendix.