Seminar
| Parent Program: | |
|---|---|
| Location: | SLMath: Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
We will discuss a generalization of the KKM theorem, and thus of Brouwer's fixed point theorem, that implies an optimal envy-free rent division result: the rent of an n-bedroom apartment can be divided among the rooms in such a way that n roommates decide for pairwise distinct rooms; the knowledge of the subjective preferences of only n-1 roommates suffices to accomplish this fair division.