The article presents an important application of spatial generalization of Shapley value for simple games. Proposition presented by Shapley and Owen enables very interesting empirical interpretations. It has also strong contribution in the research of spatial voting models’ properties when there is no stable solution. This theorem enables us to fi nd the least unstable solution and therefore this is the valuable answer to the problem presented in the McKelvey’s theorem. The article presents the main postulates of the spatial voting theory, a geometric insight on which the general proof of Shapley-Owen theorem is based and empirical illustration of the presented concepts.