Chapter 2 Introduction Fair Division Fair Division Fair

Chapter 2 Introduction Fair Division

Fair Division �Fair division is the problem of dividing a set of goods or resources between several people who have an entitlement to them, such that each person receives his/her due share.

Fair Division Scheme �A fair division scheme is a set of rules that, when properly applied, produces a fair division of the objects to be divided.

Fair Division �There are many different kinds of fair division problems, depending on the nature of goods to divide, the criteria for fairness, the nature of the players and their preferences, and other criteria for evaluating the quality of the division.

Fair Division �This chapter, we will learn different methods for dividing items fairly. Different items will require different methods. �Today, you will come up with methods in your group and share out to the class. �We as a class will decide which method we think is the most fair.

First Scenario � Martha and Ray are siblings who want to divide the last piece of the cake that their mother baked yesterday. Propose a method of dividing the last piece of cake that will seem fair to both Martha and Ray.

Second Scenario � Juan and Mary are the only heirs to their mother’s estate. The only object of significant value is the house in which they were raised. Propose a method of resolving the issues of dividing the house that will seem fair to both Juan and Mary.

Third Scenario � The sophomore, junior, and senior classes of Central High School have 333, 288, and 279 members, respectively. The school’s student council is composed of 20 members divide among the three classes. Determine a fair number of seats on the council for each class.

Recap �Summarize the method we decided as a class for… ◦ Dividing the cake ◦ Dividing the house ◦ Dividing the student council seats

Homework �Pg. 53 -57 �#1 -4, 6 -8, 10 -12, 15