Suzumura†consistent relations: An overview

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.