Albion College
Mathematics and Computer Science
What does Fairness have to do with Cake and Chicken?
Michael A. Jones

Associate Editor

Mathematical Reviews

The Adjusted Winner procedure is a fair division procedure used to divide contested items between two people so that the allocation satisfies three desirable properties (efficiency, equitability, and envy-freeness). After reviewing these properties and the procedure, I'll explain how the procedure is related to cake cutting. Further, exploiting information and manipulating the Adjusted Winner procedure is an example of the game of Chicken. This talk combines ideas from two previously published papers: Michael A. Jones and Stanley F. Cohen, Fairness: How to Achieve It and How to Optimize in a Fair-Division Procedure, Mathematics Teacher 94 (3) 2004: 170-174. and Michael A. Jones, Equitable, Envy-free, and Efficient Cake Cutting for Two People and Its Application to Divisible Goods, Mathematics Magazine 75 (4) 2002: 275-283.
3:30 PM
All are welcome!
Palenske 227
November 29, 2012