The geometry of the uncovered set in the three-voter spatial model (Q1098733)

Recent work in social choice theory has suggested that the covering relation and its set of maximal elements, the uncovered set, can help to explain majority rule processes. Roughly, one alternative covers another if any alternative majority preferred to the first is also majority preferred to the second. This study focuses on the identification of the uncovered set in a simple spatial model of majority preference, characterizes the uncovered set geometrically, and connects this characterization to previous results.