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

Fair Division: From Cake-Cutting to Dispute Resolution

deSteven J. Brams, Alan D. Taylor

Couverture souple | 23 février 1996

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description

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.
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Titre :Fair Division: From Cake-Cutting to Dispute ResolutionFormat :Couverture soupleDimensions :288 pages, 8.98 X 5.98 X 0.63 poPublié le :23 février 1996Publié par :Cambridge University Press

Les ISBN ci-dessous sont associés à ce titre :

ISBN - 10 :0521556449

ISBN - 13 :9780521556446

Convient aux âges : Tous les âges

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Table des matières

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.

Critique de chapters.indigo

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.

Critiques

"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