Many have observed that political candidates running for election are often
purposefully expressing themselves in vague and ambiguous terms. In this p
aper, we provide a simple formal model of this phenomenon. We model the ele
ctoral competition between two candidates as a two-stage game. In the first
stage of the game, two candidates simultaneously choose their ideologies,
in the second stage, they simultaneously choose their levels of ambiguity.
Ambiguity, although disliked by voters, may be sustained in equilibrium. Mo
re interestingly, we provide insight into the causes for ideological differ
entiation by showing that politicians may wish to differentiate themselves
ideologically so that they can afford to become more ambiguous.