Use of intersection property for analysis of feasibility of multicriteria expertise results

We study properties of strategy-proof mechanisms of multicriteria expertise representable by generahzed voter median schemes that allow to decrease the complexity of verification of the so-called intersection property. The latter is necessary and sufficient for the outcome of the expertise to belong to the set of feasible results. The algorithm is proposed, that for an arbitrary generalized median scheme determines for which sets of feasible results of the expertise this scheme satisfies the intersection property.