We demonstrate the existence of an electoral equilibrium in a model with three or more candidates. We use the same kinds of assumptions that have previously been used to establish existence in two-candidate models and have not had to make special assumptions regarding dimensionality (e.g., that...

Voters value valence characteristics such as honesty and competence. In this paper, we consider the situation where candidates may have more than one valence characteristic of importance to the voters. At the same time we introduce a new concept “the median-crossing property" which differs...