We consider collective choice problems where a group of agents has to decide on the location of a public facility in a Euclidean space. A well-known solution for such problems is the coordinatewise median of the reported votes and additional fixed ballots. Instead of adding ballots, we extend...

We consider one-to-one matching markets in which agents can either be matched as pairs or remain single. In these so-called roommate markets agents are consumers and resources at the same time. Klaus (Games Econ Behav 72:172–186, <CitationRef CitationID="CR8">2011</CitationRef>) introduced two new “population sensitivity” properties...</citationref>

We consider the problem of (re)allocating the total endowment of an infinitely divisible commodity among agents with single-peaked preferences and individual endowments. We propose an extension of the so-called uniform rule and show that it is the unique rule satisfying Pareto optimality,...