In order to win the election, a politician has to appeal himself to a number of different voters in the electorate. As a means to do so, the use of ambiguity may be effective. In this paper two notions of ambiguity are introduced. One notion of ambiguity is equated with voter uncertainty: a politician takes an ambiguous stance on an issue by announcing to the voters a lottery over the positions he might take on that issue. The other notion of ambiguity is equated with multiple meanings: a politician takes an ambiguous stance on an issue if his rhetoric admits of different meanings in different contexts. These notions of ambiguity are formalized, and their effects on the decision problems of voter and politician are formally analyzed. Some further problems are also discussed.