Fair Division: From Cake-Cutting to Dispute Resolution by Steven J. BramsFair Division: From Cake-Cutting to Dispute Resolution by Steven J. Brams

Fair Division: From Cake-Cutting to Dispute Resolution

bySteven J. Brams, Alan D. Taylor

Paperback | February 23, 1996

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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.
Steven J. Brams is professor of politics at New York University. Alan D. Taylor is Marie Louise Bailey Professor of Mathematics at Union College.
Title:Fair Division: From Cake-Cutting to Dispute ResolutionFormat:PaperbackDimensions:288 pages, 8.98 × 5.98 × 0.63 inPublished:February 23, 1996Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521556449

ISBN - 13:9780521556446

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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.

From Our Editors

Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute--such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of the well-known cake-cutting procedure.

Editorial Reviews

"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