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Mathematics and Democracy: Designing Better Voting and Fair-Division Procedures Hardcover – 15 Jan 2008

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Product details

  • Hardcover: 384 pages
  • Publisher: Princeton University Press (15 Jan. 2008)
  • Language: English
  • ISBN-10: 0691133204
  • ISBN-13: 978-0691133201
  • Product Dimensions: 23.5 x 16.3 x 2.8 cm
  • Average Customer Review: Be the first to review this item
  • Amazon Bestsellers Rank: 7,941,510 in Books (See Top 100 in Books)
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Product description


"Showing how social-choice theory and game theory could make political and social institutions more democratic, Brams uses mathematical analysis to develop new procedures that could enable voters to better express their preferences."--Times Higher Education

"The image on the cover of Mathematics and Democracy shows four people pulling on two ropes. If they all pull, the knot will jam. The book's contents show, on the contrary, that sometimes mathematics and game theory can unjam the problems of voting."--Iain McLean, Science

"In seven chapters, Brams proposes and dissects a range of, often very elegant, fair division procedures pertaining to different situations. . . . Brams strengthens his arguments with a wealth of real-life examples, from US elections to the 1978 peace negotiations between Israel and Egypt. The mathematical results are amply illustrated with easy-to-follow examples. . . . If you're interested in democracy, then this book makes eye-opening reading, and if you're planning on wielding power at some point in the future, then it should be compulsory!"--Marianne Freiberger, +Plus Magazine

"Mathematics and Democracy is rich in analyses of historical cases. . . . Read Mathematics and Democracy: You will learn of the vast number of voting options that have been mooted, and you will easily conclude that any proposed change, however minor, will arouse fury in some constituency somewhere."--Philip J. Davis, SIAM News

"Increasingly, mathematicians are finding interesting problems in social science, a development that the previous books of Steven J. Brams helped to catalyze. Mathematics and Democracy, based on a selection of Brams's (mostly co-authored) papers, will add to his influence."--D. Marc Kilgour, Mathematical Reviews

"Since the math is elementary and the problems familiar, the book can be read both by political scientists not allergic to formal reasoning and by amateurs of mathematics interested in politics. Voting practitioners and designers will be delighted to find thorough discussions of less-known methods. All of them will find the book an interesting introduction to the fascinating subfield of mathematically oriented political science that analyzes and invents constructive institutional solutions to social dilemmas."--Marek Kaminski, Political Science Quarterly

From the Back Cover

"Professor Brams is one of the leading political scientists of our time, and one of the best-known authorities in the field of applied decision, game, and social choice theory. So, the level of expectations regarding his scholarly output is much higher than for most other authors. Yet, I believe this book surpasses that level."--Hannu Nurmi, University of Turku, Finland

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4.0 out of 5 starswelcome addition to voting rules literature
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