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 12 - August 5, 2005

Summary: 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 a mathematical model of a situation, define fairness properties, suggest allocation methods, and determine whether suggested allocation methods satisfy the defined fairness properties.



Student Researchers Supported by MAA:

• Elizabeth Adenegan, Hope College
  

• Jesus Medrano, Massachussets Institute of Technology
  

• Juan Mendez, Purdue University Calumet
  

• Nada Omer, Indiana University

Student Researchers Supported by Goshen College:

• Rozalia Tadjer, Goshen College
  

Return to NREUP Additional Information

Return to NREUP Home