Bard College Mathematics, Computer Science, and Physics Talks


The Mathematics of Fairness
Allison Pacelli
Williams College
Thursday, October 16, 2008
4:30 p.m.

RKC 111

How do you divide a candy bar fairly between two people? The most popular solution is known by many and can even be found in the bible: one person divides the bar in half, the other gets to choose which piece she wants. But what happens if three people are dividing the candy? Worse yet, what do you do if you're dividing a collection of indivisible goods? Things like TV's and pianos are not much use cut in half!  The idea of fairness itself is considerably more complicated when more than two people are involved, but mathematics can be surprisingly useful in these situations.