Mathematics and Democracy Recent Advances in Voting Systems and Coll
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Studies in Choice and Welfare D. Austen-Smith and J. Duggan Social Choice and Strategic Decisions XVI, 319 pages, 2005. ISBN 3-540-22053-4 W. Kuklys Amartya Sen's Capability Approach XVIII, 116 pages, 2005. ISBN 3-540-26198-2
Bruno Simeone ´ Friedrich Pukelsheim (Editors)
Mathematics and Democracy Recent Advances in Voting Systems and Collective Choice
With 33 Figures and 50 Tables
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Prof. Dr. Bruno Simeone Department of Statistics University of Rome »La Sapienza« Piazzale Aldo Moro 5 00185 Rome, Italy [email protected] Prof. Dr. Friedrich Pukelsheim Institute of Mathematics University of Augsburg 86135 Augsburg, Germany [email protected]
ISSN 1614-0311 ISBN-10 3-540-35603-7 Springer Berlin Heidelberg New York ISBN-13 978-3-540-35603-5 Springer Berlin Heidelberg New York Cataloging-in-Publication Data Library of Congress Control Number: 2006932296 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution under the German Copyright Law. Springer is a part of Springer Science+Business Media springeronline.com ° Springer Berlin ´ Heidelberg 2006 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Hardcover-Design: Erich Kirchner, Heidelberg SPIN 11782865
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Preface
Voting Systems and Collective Choice are subjects at the crossroad of social and exact sciences. Social sciences look at the development and evolution of electoral systems and other rules of collective choice, in the context of the changing needs and political patterns of society. Exact sciences are concerned instead with the formal study of voting mechanisms and other preference aggregation procedures, under axioms which are meant to reflect such universal principles as equity, representation, stability, and consistency. Mathematics and Democracy presents a collection of research papers focussing on quantitative aspects of electoral system theory, such as game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization-based approaches. Electronic voting protocols and other security issues have also recently been devoted a great deal of attention. Quantitative analyses provide a powerful tool to detect inconsistencies or poor performance in actual systems. The topics covered are at the forefront of the research in the field: Proport
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