Among a group of selfish agents, we consider nomination correspondences that determine who should get a prize on the basis of each agent’s nomination. Holzman and Moulin (Econometrica 81:173–196, <CitationRef CitationID="CR4">2013</CitationRef>) show that (i) there is no nomination function that satisfies the axioms of impartiality,...</citationref>

We study the problem of allocating several units of homogeneous indivisible goods when monetary compensations are possible. First, we show that there is no strategy-proof, budget balanced, and egalitarian-equivalent mechanism even on extremely restricted preference domains. Next, we present two...