 Distance Rationalizability of Scoring RulesA chapter in Individual and Collective Choice and Social Welfare, 2015, pp 171-178 from Springer Abstract: Abstract Collective decision making problems can be seen as finding an outcome that is “closest” to a concept of “consensus”. Nitzan (1981) introduced “Closeness to Unanimity Procedure” as a first example to this approach and showed that the Borda rule is the closest to unanimity under the Kemeny (1959) distance. Elkind et al. (2009) generalized this concept as distance-rationalizability, and showed that all scoring rules can be distance rationalized via a class of distance functions, which we call scoring distances. In this paper, we propose another class of distances, i.e., weighted distances, introduced in Can (2014). This class is a generalization of the Kemeny distance that rationalizes the generalization of the Borda rule, i.e., scoring rules. Hence the results here extend those in Nitzan (1981) and reveal the broader connection between Kemeny-like distances and Borda-like voting rules. Keywords: Distance rationalizability; Scoring rules; Voting; Weighted distances (search for similar items in EconPapers) There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it. Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:spr:stcchp:978-3-662-46439-7_11 Ordering information: This item can be ordered from DOI: 10.1007/978-3-662-46439-7_11 Access Statistics for this chapter More chapters in Studies in Choice and Welfare from Springer |
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