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
A note on Nanson's rule
β Scribed by Emerson M. S. Niou
- Publisher
- Springer US
- Year
- 1987
- Tongue
- English
- Weight
- 120 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0048-5829
No coin nor oath required. For personal study only.
β¦ Synopsis
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 provides a counter example, which shows that Nanson's rule, although it satisfies the strong Condorcet condition, does not satisfy the weak Condorcet condition.
π SIMILAR VOLUMES
An elementary introduction to lattices, integration lattices and lattice rules is followed by a description of the role of the dual lattice in assessing the trigonometric degree of a lattice rule. The connection with the classical lattice-packing problem is established: any s-dimensional cubature ru