From Cake-Cutting to Mathematical Economics

Friday, 14 February 2014
Columbus AB (Hyatt Regency Chicago)
Francis Su , Harvey Mudd College, Claremont, CA
The problem of how to cut a cake fairly may seem recreational, but it connects some beautiful mathematical ideas with practical solutions to applied problems.  We trace connections with solving nonlinear equations in applied mathematics, computing Nash equilibria in mathematical economics, and recent solutions to questions of 'fair division': the problem of fairly dividing the rent among roommates.