Fair Divisions: Getting Your Fair Share (HiMAP)

Author: Sandi Bennett; Duane DeTemple; Michael Dirks; Bob Newell; Jack M. Robertson; Bob Tyus

Demonstrates how mathematics can be used to divide objects fairly, such as the equitable distribution of an item that is not divisible (e.g., a hose from an estate). HiMAP Module 9.

HiMAP library now available on CD-ROM product no. 7593

Table of Contents:

PART I: DIVIDING A CAKE
Introduction
Some Methods of Fair Division
Some Basic Assumptions
Dividing a Cake Among Three People
The Moving Knife Solution
Another Fair Division Algorithm
Exercises

PART II: DIVIDING ESTATES
The Problem of Indivisible Objects
Some Methods of Dividing An Estate
Fairly Dividing An Estate
Testing the Method
Exercises

PART III: THE HISTORY OF THE FAIR DIVISION PROBLEM