In this chapter, we seek to review some of the central concepts and results in the literature on positionalist voting rules, which goes back to Borda (1781). After the introduction of the basic notation and definitions in earlier parts of the chapter, we explore in Section 3 the distinction between positionalist and non-positionalist social ranking rules and social decision rules. We define alternative notions of positionality and give several examples. Section 4 discusses the positionalist decision procedures in the context of the conditions figuring in Arrow's celebrated impossibility theorem and also in the context of the simple majority rule. In Section 5, we review the literature on the structure of the Borda ranking rule and the Borda decision rule. Some well-known axiomatic characterizations of the Borda ranking rule and the Borda decision rule are discussed here. In Section 6, we discuss some results on the structure of score-based ranking rules and score-based decision rules, which include, as special cases, the Borda ranking rule and the Borda decision rule, respectively. This section also contains a discussion of dominance-based scoring rules and social decision rules known as runoff systems. Section 7 concludes the chapter.
Download Info
To download:
If you experience problems downloading a file, check if you have the
proper application to
view it first. Information about this may be contained
in the File-Format links below. In case of further problems read
the IDEAS help
page. Note that these files are not on the IDEAS
site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Publisher Info
Download reference. The following formats are available: HTML
(with abstract),
plain text
(with abstract),
BibTeX,
RIS (EndNote, RefMan, ProCite),
ReDIF This chapter was published in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.) Handbook of Social Choice and Welfare, , chapter 07, pages 361-394, 2002.
For technical questions regarding this item, or to correct its listing, contact: (Heidi Boesdal).
Related research
This chapter was published in the following book, which is listed on IDEAS: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002.
"Handbook of Social Choice and Welfare,"
Handbook of Social Choice and Welfare,
Elsevier,
edition 1, volume 1, number 1, September.
[Downloadable!] (restricted) Keywords:
Find related papers by JEL classification: I0 - Health, Education, and Welfare - - General
Cited by: (explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)