Smooth social choice
This paper surveys results on the existence of a core of a voting rule under various specification of the space of alternatives. Let W be this space and n, the Nakamura number. When W is finite, there exists a core if and only if the cardinality of W is less than or equal to n-1. If W lies in a vector space of dimension dim(W), then there is a core if and only if dim(W) is less than or equal to n-2. For higher dimensional W, voting is generically chaotic, in the sense that voting cycles fill almost all of W.
scientific article; zbMATH DE number 4112331
scientific article