Abstract
We introduce a dominance relationship in spatial voting with Euclidean preferences, by treating voter ideal points as balls of radius
(delta)
. Values
(delta >0)
model imprecision or ambiguity as to voter preferences from the perspective of a social planner. The winning coalitions may be any consistent monotonic collection of voter subsets. We characterize the minimum value of
(delta)
for which the
(delta)
-core, the set of undominated points, is nonempty. In the case of simple majority voting, the core is the yolk center and
(delta)
is the yolk radius.