Finding Fair and Efficient Allocations

mathematical economics over the last seven decades (since the
seminal work of Hugo Steinhaus in the 1940s). In a classical fair
division problem, the goal is to ``fairly" allocate a set items
among a set of agents. Several real-life scenarios are paradigmatic
of the problems in this domain.

In this defense, we explore some fundamental questions about fair
division. In particular, we focus on settings in which the items to
be divided are either indivisible goods or divisible bads. Despite
their practical significance, both these settings have been
relatively less investigated than the divisible goods setting.