Distance rationalizability of scoring rules

Burak Can

No 68, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: Collective decision making problems can be seen as finding an outcome that is "closest" to a concept of "consensus". [1] introduced "Closeness to Unanimity Procedure" as a first example to this approach and showed that the Borda rule is the closest to unanimity under swap distance (a.k.a the [2] distance). [3] shows that the Dodgson rule is the closest to Condorcet under swap distance. [4, 5] generalized this concept as distance-rationalizability, where being close is measured via various distance functions and with many concepts of consensus, e.g., unanimity, Condorcet etc. In this paper, we show that all non-degenerate scoring rules can be distance-rationalized as "Closeness to Unanimity" procedures under a class of weighted distance functions introduced in [6]. Therefore, the results herein generalizes [1] and builds a connection between scoring rules and a generalization of the Kemeny distance, i.e. weighted distances.

Date: 2013-01-01
New Economics Papers: this item is included in nep-cdm
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Citations: View citations in EconPapers (1)

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Related works:
Chapter: Distance Rationalizability of Scoring Rules (2015)
Working Paper: Distance rationalizability of scoring rules (2013)
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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2013068

DOI: 10.26481/umagsb.2013068

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