We study the problem of assigning a set of objects to a set of agents, when each agent is supposed to receive only one object and has strict preferences over the objects. In the absence of monetary transfers, we focus on the probabilistic rules, which takes the ordinal preferences as input (the...

We consider the problem of selecting the locations of two (identical) public goods on an interval. Each agent has preferences over pairs of locations, which are induced from single-peaked rankings over single locations: each agent compares pairs of locations by comparing the location he ranks...

We study a random assignment problem when each agent has possibly multiple demands on objects. In the case of unitary demands, Bogomolnaia and Moulin (2001) introduce the serial rule and characterize it for three-agent economies. We generalize the model to accommodate the possibility that...