Stable outcomes in spatial voting games (Q750272)

In spatial voting games, the voters have a utility function defined by the distance from their ideal points. In two or more dimensions, it is well-known that the set of undominated points, the core, is generally empty. The author studies stability in the form of near-core outcomes, i.e., the Copeland winner, the yolk center and the finagle point (the point which comes closest to defeating any other alternative). He shows that these outcomes have analogues for games with side-payments. The Copeland winner's analogue is the Shapley value and the yolk center's analogue is the nucleolus. A straightforward adaptation is also possible for the finagle point.