There are two distinct views on how candidate (or party) issue strategies influence mass evaluations. One is the view underlying the classic spatial model that the proximity between the voter's own issue positions and the positions taken by the candidates drives the evaluation. The other view is...

A q-rule is where a winning coalition has q or more of the n voters. An important issue is to understand when, generically, core points exist; that is, to determine when the core exists in other than highly contrived settings. As known, the answer depends upon the dimension of issue space....

We present some basic results concerning the spatial theory of voting in such a way that the theorems and their proofs should be accessible to a broad audience of political scientists. We do this by making the presentation essentially geometrical. We present the following results in particular:...