# Fair Division: From Cake-Cutting to Dispute Resolution

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)

## Related Subjects

 List of figures List of tables Acknowledgements Introduction 1 1 Proportionality for n = 2 6 2 Proportionality for n > 2: the divisible case 30 3 Proportionality for n > 2: the indivisible case 51 4 Envy-freeness and equitability for n = 2 65 5 Applications of the point-allocation procedures 95 6 Envy-free procedures for n = 3 and n = 4 115 7 Envy-free procedures for arbitrary n 129 8 Divide-the-dollar 158 9 Fair division by auctions 178 10 Fair division by elections 204 11 Conclusions 231 Glossary 237 Bibliography 248 Index 264