The structure of the Banks set
β Scribed by Nicholas R. Miller; Bernard Grofman; Scott L. Feld
- Publisher
- Springer US
- Year
- 1990
- Tongue
- English
- Weight
- 465 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0048-5829
No coin nor oath required. For personal study only.
β¦ Synopsis
We consider a new solution set for majority voting tournaments recently proposed by Banks (1985), and we examine its internal structure. In particular, we demonstrate that, in the absence of a Condorcet winner, there is always a cycle including precisely the points in the Banks set. We introduce the concept of "external stability" in order to facilitate analysis.
π SIMILAR VOLUMES
An exemple is given of a tournament in which none of the Kemeny-Slater's winners of the tournament belong to the Banks set. \* The authors thanks Michel LeBreton, who provided the initial stimulus for this investigation, and an anonymous referee for helpfull comments.