|AMMCS-2013 Venue: Wilfrid Laurier
University Campus in Waterloo, Canada
AMMCS-2013 Semi-Plenary Talk
Title: Fair Division
Abstract: Over the past 20 years, there has been burgeoning interest in the subject of fair division ---
how one divides a single divisible good (e.g., a cake), or multiple indivisible goods (e.g., the marital property in a divorce), to satisfy such
properties as efficiency, envy-freeness, and equitability. Some of the major possibility and impossibility results -- relating to both the existence
of such a division and algorithms for producing it -- will be reviewed. How these results apply to dividing land, allocating items in a family estate
to heirs, determining which
rooms housemates get and how much of the rent each pays for its room, and matching applicants to colleges will be among the applications discussed.
Steven J. Brams is Professor of Politics at New York University and the author,
co-author, or co-editor of 18 books and more than 250 articles. His books include
Theory of Moves (Cambridge, 1994) and, co-authored with Alan D. Taylor, Fair
Division: From Cake-Cutting to Dispute Resolution (Cambridge, 1996) and The Win-Win
Solution: Guaranteeing Fair Shares to Everybody (Norton, 1999). His newest books are
Mathematics and Democracy: Designing Better Voting and Fair-Division Procedures
(Princeton, 2008) and Game Theory and the Humanities: Bridging Two Worlds (MIT,
2011). He holds two patents for fair-division algorithms and is chairman of the advisory
board of Fair Outcomes, Inc.
Brams has applied game theory and social-choice theory to voting and elections,
bargaining and fairness, international relations, and the Bible, theology, and literature.
He is a former president of the Peace Science Society (1990-91) and of the Public Choice
Society (2004-2006). He is a Fellow of the American Association for the Advancement
of Science (1986), a Guggenheim Fellow (1986-87), and was a Visiting Scholar at the
Russell Sage Foundation (1998-99).