Fair Division: From Cake-Cutting to Dispute Resolution

Fair Division: From Cake-Cutting to Dispute Resolution

by Steven J. Brams, Alan D. Taylor
     
 

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 a variety of procedures for allocating goods (or "bads" like chores), or deciding who wins on what issues, when there are… See more details below

Overview

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 a variety of procedures for allocating goods (or "bads" like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, "I cut, you choose," the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular, they focus on procedures which provide "envy-free" allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.

Product Details

ISBN-13:
9780521556446
Publisher:
Cambridge University Press
Publication date:
03/28/1996
Edition description:
New Edition
Pages:
288
Product dimensions:
5.98(w) x 8.98(h) x 0.63(d)

Table of Contents

List of figures
List of tables
Acknowledgements
Introduction1
1Proportionality for n = 26
2Proportionality for n > 2: the divisible case30
3Proportionality for n > 2: the indivisible case51
4Envy-freeness and equitability for n = 265
5Applications of the point-allocation procedures95
6Envy-free procedures for n = 3 and n = 4115
7Envy-free procedures for arbitrary n129
8Divide-the-dollar158
9Fair division by auctions178
10Fair division by elections204
11Conclusions231
Glossary237
Bibliography248
Index264

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