Supplementary Material A Other Related Work The Nash Welfare mechanism is classic approach to finding equitable allocations, and achieves fairness via the notion of market clearing [

Though our results about the externality induced by Nash Welfare appear superficially similar to Gross Substitutes, we cannot find a formal connection. Our work considers the pure allocations problem with additional diversity constraints. 's constraint and remove agent The lower bound follows by extending Theorem 3. We first present the upper bound. We will assume below that 6 =0, and present the proof for!