Positional rules of collective decision-making
In: Handbook of Social Choice and Welfare
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.
If you experience problems downloading a file, check if you have the proper application to view it first. 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.
|This chapter was published in: ||This item is provided by Elsevier in its series Handbook of Social Choice and Welfare with number
1-07.||Handle:|| RePEc:eee:socchp:1-07||Contact details of provider:|| Web page: http://www.elsevier.com/wps/find/bookseriesdescription.cws_home/BS_HE/description|
When requesting a correction, please mention this item's handle: RePEc:eee:socchp:1-07. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Shamier, Wendy)
If references are entirely missing, you can add them using this form.