A Note on Incompleteness, Transitivity and Suzumura Consistency

Richard Bradley ()
Additional contact information
Richard Bradley: London School of Economics and Political Science

A chapter in Individual and Collective Choice and Social Welfare, 2015, pp 31-47 from Springer

Abstract: Abstract Rationality does not require of preferences that they be complete. Nor therefore that they be transitive: Suzumura consistency suffices. This paper examines the implications of these claims for the theory of rational choice. I propose a new choice rule—Strong Maximality—and argue that it better captures rational preference-based choice than other more familiar rules. Suzumura consistency of preferences is shown to be both necessary and sufficient for non-empty strongly maximal choice. Finally conditions on a choice function are stated that are necessary and sufficient for it to be rationalisable in terms of a Suzumura consistent preference relation.

Keywords: Choice function; Incomplete preferences; Rationalisability; Suzumura consistency; Transitivity (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:stcchp:978-3-662-46439-7_3

Ordering information: This item can be ordered from
http://www.springer.com/9783662464397

DOI: 10.1007/978-3-662-46439-7_3

Access Statistics for this chapter

More chapters in Studies in Choice and Welfare from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().