Principles of fair division and their relation with Banach-Steinhaus Theorem

Alex Misiats (Virginia Commonwealth University)

18-Feb-2022, 20:00-21:00 (2 years ago)

Abstract: When the demands or desires of one party are in conflict with those of another - be it cutting a cake, a divorce, or an international dispute - no one wants to be treated unfairly. Can mathematics help find procedures that can ensure fair resolutions? When only two parties are present, the famous divide-and-choose method was known since ancient times. Surprisingly enough, this method was generalized by the founders of functional analysis in Lviv school of Mathematics, Stefan Banach and Hugo Steinhaus, only fairly recently. In my talk I will describe several ways to approach fair division, and illustrate some of their applications.

mathematical physicsanalysis of PDEsclassical analysis and ODEscategory theorycomplex variablesfunctional analysislogicmetric geometryoptimization and control

Audience: researchers in the topic


VCU ALPS (Analysis, Logic, and Physics Seminar)

Series comments: Description: Research seminar on topics ranging from analysis and logic to mathematical physics.

Meetings will be conducted over Zoom:

Meeting ID: 951 0562 0974

The password is 10 characters, consisting of the name of the ancient Greek mathematician who wrote "Elements" (first letter capitalized) followed by the first 4 primes.

Organizer: Ihsan Topaloglu*
Curators: Marco Aldi*, Brent Cody, Sean D. Cox, Alex Misiats, Allison Moore*
*contact for this listing

Export talk to