ABSTRACT

The challenge of dividing an asset fairly, from cakes to more important properties, is of great practical importance in many situations. Since the famous Polish school of mathematicians (Steinhaus, Banach, and Knaster) introduced and described algorithms for the fair division problem in the 1940s, the concept has been widely popularized. This book

chapter 1|16 pages

Fairly Dividing a Cake

chapter 3|14 pages

Unequal Shares

chapter 4|12 pages

The Serendipity of Disagreement

chapter 6|10 pages

Some Combinatorial Observations

chapter 7|6 pages

Interlude: An Inventory of Results

chapter 8|8 pages

Impossibility Theorems

chapter 10|16 pages

Exact and Envy-Free Algorithms

chapter 11|14 pages

A Return to Division for Unequal Shares