Laine, JeanÖzkeş, Ali İhsanSanver, Remzi2021-06-232021-06-232016-010176-1714https://hdl.handle.net/11411/3893https://doi.org/10.1007/s00355-015-0908-1We define a new consistency condition for neutral social welfare functions, called hyper-stability. A social welfare function (SWF) selects a weak order from a profile of linear orders over any finite set of alternatives. Each profile induces a profile of hyper-preferences, defined as linear orders over linear orders, in accordance with the betweenness criterion: the hyper-preference of some order P ranks order Q above order Q’ if the set of alternative pairs P and Q agree on contains the one P and Q’ agree on. A special sub-class of hyper-preferences satisfying betweenness is defined by using the Kemeny distance criterion. A neutral SWF is hyper-stable (resp. Kemeny-stable) if given any profile leading to the weak order R, at least one linear extension of R is ranked first when the SWF is applied to any hyper-preference profile induced by means of the betweenness (resp. Kemeny) criterion. We show that no scoring rule is hyper-stable, unless we restrict attention to the case of three alternatives. Moreover, no unanimous scoring rule is Kemeny-stable, while the transitive closure of the majority relation is hyper-stable. © 2015, Springer-Verlag Berlin Heidelberg.eninfo:eu-repo/semantics/openAccessArticle2-s2.0-8495436494310.1007/s00355-015-0908-1Q1WOS:000373020500007