Share-Based Fairness for Arbitrary Entitlements

Abstract: 

A group of agents are the owners of a set of indivisible goods, and they want to fairly partition the goods between them. When will a partition of the goods be considered fair?  In this talk we will discuss our systematic theory of share-based fairness, starting with the case of agents with equal entitlements, and then mainly focus on the case of agents with arbitrary entitlements.

Based on two joint papers with Uri Feige: https://arxiv.org/abs/2205.07519, https://arxiv.org/abs/2405.14575