E.J. Nanson, in 1883, proposed a voting rule designed mainly to select the Condorcet winner. Unfortunately, much of the collective choice literature has misstated Nanson's rule. This note shows that the misstated versions of the rule and Nanson's actual rule can yield different outcomes, and it prov
✦ LIBER ✦
A note on “A note on Nanson's rule”
✍ Scribed by P. C. Fishburn
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 50 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0048-5829
No coin nor oath required. For personal study only.
✦ Synopsis
Niou's note (1987) on Nanson's rule for determining a winner from voters' preference rankings accuses several people, including Fishburn (1977), of misstating Nanson's rule. He says, for example, that I (1977: 473) describe the rule thus:
Nanson's function is a Borda elimination procedure. At each stage in a sequential process we delete all candidates who have the lowest Borda count at that stage unless all have the same Borda count. The process continues until no more candidates can be deleted. Those that remain constitute the choice set.
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