Fair Division: From Cake-Cutting to Dispute Resolution

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Fair Division, unlike most research on fairness in the social sciences and mathematics, is devoted solely to the analysis of constructive procedures for actually dividing things up and resolving disputes, including indivisible items or issues, such as the marital property in a divorce or sovereignty in an international dispute.

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Editorial Reviews

From the Publisher
"In this remarkable book, Brams and Taylor bring to the attention of the social scientists a literature thus far confined to puzzle-solving and other mathematical magazines....Brams and Taylor's original fair division procedures are of interest to all researchers." Hervé Moulin, Duke University

"...explains everything a layperson might need to know about fair division....Even lawyers should love the book." Discover

"Their message is important and it has many ramifications." Oxford International Review

"Brams and Taylor's book is a fine survey of procedures of fair division. It provides an invaluable reference for researchers, designers of fair procedures, as well as for teachers who want to discuss the games of fair division in their advanced undergraduate or graduate courses on distributive justice or conflict resolution." Marek M. Kaminski, Ethics & International Affairs

"Clear exposition and the rich collection of psychologically and socially intersting illustrations make this book eminently suitable for social science courses." A. Rapoport, Mathematical Reviews

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Product Details

  • ISBN-13: 9780521556446
  • Publisher: Cambridge University Press
  • Publication date: 3/28/1996
  • Edition description: New Edition
  • Pages: 288
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.63 (d)

Table of Contents

Introduction; 1. Proportionality for n=2; 2. Proportionality for n>2: the divisible case; 3. Proportionality for n>2: the indivisible case; 4. Envy-freeness and equitability for n=2; 5. Applications for the point-allocation procedures; 6. Envy-free procedures for n=3 and n=4; 7. Envy-free procedures for arbitrary n; 8. Divide-the-dollar; 9. Fair division by auctions; 10. Fair divisions by elections; 11. Conclusions; Glossary; Bibliography; Index.

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