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Fair Division

Fair Division
From Cake-Cutting to Dispute Resolution

$44.99 (C)

  • Date Published: February 1996
  • availability: Available
  • format: Paperback
  • isbn: 9780521556446

$44.99 (C)

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About the Authors
  • 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.

    • Analysis of procedures for the fair division of goods, and the resolution of disputes; theory plus numerous examples and applications
    • Written by a political scientist and mathematician in an accessible way, with most mathematics in appendices rather than main text
    • Several procedures are entirely new, including the solution to a 50-year-old mathematical problem - the envy-free division of a cake among any number of people
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    Reviews & endorsements

    "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

    • Date Published: February 1996
    • format: Paperback
    • isbn: 9780521556446
    • length: 288 pages
    • dimensions: 229 x 152 x 16 mm
    • weight: 0.43kg
    • availability: Available
  • Table of Contents

    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

  • Authors

    Steven J. Brams, New York University

    Alan D. Taylor, Union College, New York

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