In this paper we take some concepts of necessity conditions in voting theory first developed by Inada, Sen, and Pattanaik and refine those concepts to deal with the more commonly discussed case of fixed numbers of voters. These new concepts are then applied to the study of domain restrictions designed to yield quasitransitive and transitive social preference relations. Along the way, a conjecture of Pattanaik is settled.
ASJC Scopus subject areas
- Economics and Econometrics