The finagle point, the epsilon-core, and the yolk are all predictors of majority-rule decision-making in spatial voting … within the epsilon core. This article shows that the finagle radius is sandwiched in between the epsilon-core and yolk radii …. Brauninger showed that the finagle radius is never smaller than the epsilon-core radius, and claimed that the finagle point is …

, generically, core points exist; that is, to determine when the core exists in other than highly contrived settings. As known, the … subtle, critical error in their proofs. The sharp dimensional values along with results about the structure of the core are …

matching, a stable set is defined as the union of the core of the game and the core of the subgames that are compatible with … usually defined on the core. …

Given a capacity, the set of dominating k-additive capacities is a convex polytope called the k-additive monotone core … vertices of the n-additive monotone core and we explore the possible translations for the k-additive case. …