Single-basined preferences generalize single-dipped preferences by allowing for multiple worst elements. These preferences have played an important role in areas such as voting, strategy-proofness and matching problems. We examine the notion of single-basinedness in a choice-theoretic setting....

We show that feasible elimination procedures Peleg, 1978 can be used to select k from m alternatives. An important advantage of this method is the core property no coalition can guarantee an outcome that is preferred by all its members. We also provide an axiomatic characterization for the case...

We consider the joint decision of placing public bads in each of two neighboring countries, modelled by two adjacent line segments. Residents of the two countries have single-dipped preferences, determined by the location of the nearest public bad to their dips. A social choice function or rule...