On two new social choice correspondences

The content of the publication is the sole responsibility of the authors and it in no way represents the views of the Commition or its services. Abstract Preferences of a set of n individuals over a set of alternatives can be represented by a preference proole being an n-tuple of preference relations over these alternatives. A social choice correspondence assigns to every preference proole a subset of alternatives that can be viewed as thèmost prefered' alternatives by the society consisting of all individuals. Two new social choice correspondences are introduced and analyzed. Both are Pareto optimal and are reenements of the well known Top cycle correspondence in case the corresponding simple majority win digraph is a tournament. One of them even is such a reenement for arbitrary preference prooles.