Stefan Steinerberger

A metric on solutions of the bargaining problem

We consider the classic bargaining problem: two players have to agree on a `fair'division $(x,y) \in \Omega \subset \mathbb{R}_{\geq 0}^2$ which results in Player 1 receiving $x$ and Player 2 receiving $y$. The usual approach to this problem has been to impose a number of desirable axioms that a fair division should ha...