Why do candidates use a strategy of ambiguity even though the Median Voter Theorem does not prescribe it? In order to rationalize the use of a strategy of ambiguity, scholars have assumed either that voters are intrinsically risk loving, that candidates have their own policy preferences, that voters do not know where the candidates stand on policies, or that candidates do not know the distribution of voters' preferences. In this paper, we propose a reasonable alternative: that voters can secure a reservation utility from other alternatives when they feel alienated. Facing voters with such alternatives, candidates are likely to adopt ambiguous rather than clear strategies. In equilibrium, however, candidates do not want to be too ambiguous; it is advisable that they devote their campaign time to at most two policy stands.