Continuity Properties of Majority Rule with Intermediate Preferences.
Abstract
This paper shows that the assumptions in Grandmont implicitly contain a continuity property for the map from distributions of voter preferences to the index identified with the majority rule relation (Theorem 1). We then provide applications of this result to societies which satisfy the classical assumptions on preferences in the literature, but which may have atomic or nonatomic measures of voters. In particular, Theorem 1 implies that the map from distributions of voters to majority rule equilibria is continuous in such societies (Corollaries 1 and 2). (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- May 01, 1979
- Accession Number
- ADA068727
Entities
People
- Kuan-pin Lin
- Peter Coughlin
Organizations
- Harvard University