Suzumura‐consistent relations: An overview. (8th February 2018)

• Record Type: Journal Article
• Authors: Bossert, Walter
• Is Part Of: International journal of economic theory. Volume 14:Number 1(2018:Mar.)
• Page Start: 21
• Page End: 34
• Publication Date: 2018-02-08
• Subjects: Suzumura consistency -- individual and collective choice; Economics -- Periodicals; 330.01
• DOI: 10.1111/ijet.12139
• Languages: English
• ISSNs: 1742-7355

Abstract

Abstract: This paper provides a brief introduction to the use and usefulness of Suzumura consistency, a coherence requirement for binary relations that weakens transitivity. The property was introduced by Suzumura in the context of collective choice but, as demonstrated in some recent contributions, its applicability reaches beyond the boundaries of social‐choice theory. In addition to a summary of its mathematical underpinnings, some recent applications in individual and collective decision‐making are provided. Several examples are employed to illustrate the property and how it distinguishes itself from alternative weakenings of transitivity such as quasi‐transitivity or acyclicity.