Goshen College
Title: Fair Division and Cooperative Game Theory
Director(s): David Housman, Department of Mathematics and Computer Science
Email: dhousman@goshen.edu
Dates of Program: June 14 - August 16
Summary:
This program deals with practical applications of Cooperative Game
Theory to real-life scenarios. For example: By collaborating, several
cities can save money on upgrading their water treatment facilities.
What is a fair way of allocating the savings? Several people have
inherited an estate, but they differ in their opinions about the worth
of each item in the estate. What is a fair way of allocating the
estate? Different sportswriters have different rankings for college
football teams. What is a fair way of melding these different opinions
into a single ranking ordering? In these situations, do the agents
involved have incentives for stating their true costs, valuations, or
rankings? In this research, students develop s mathematical model of a
situation, define fairness properties, suggest allocation methods, and
determine whether suggested allocation methods satisfy the defined
fairness properties. Additional details can be found by contacting David Housman.
View Pictures
from the Maple Scholars 2004 Program
Student Researchers:
- Aeron Huang, Goshen College
- Jesse Johnson, Goshen College
- Ulises Martinez, Goshen College
- Tabitha C. Robbins, Wayne Community College
Program Contacts:
Bill Hawkins
MAA SUMMA
bhawkins@maa.org
202-319-8473
Michael Pearson
MAA Programs & Services
pearson@maa.org
202-319-8470