Fair Division From Cake-Cutting to Dispute Resolution [Paperback]

A careful analysis of the abstract properties that different procedures satisfy; e.g. envy-freeness and efficiency.Unlike most research on fairness in the social sciences and mathematics, this text is devoted solely to the analysis of constructive procedures for actually dividing things up and resolving disputes, even indivisible items such as the marital property in a divorce or sovereignty in an international dispute.Unlike most research on fairness in the social sciences and mathematics, this text is devoted solely to the analysis of constructive procedures for actually dividing things up and resolving disputes, even indivisible items such as the marital property in a divorce or sovereignty in an international dispute.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.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. 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. l3Z