Title
A geometric examination of Kemeny's rule
Abstract
.   By using geometry, a fairly complete analysis of Kemeny's rule (KR) is obtained. It is shown that the Borda Count (BC) always ranks the KR winner above the KR loser, and, conversely, KR always ranks the BC winner above the BC loser. Such KR relationships fail to hold for other positional methods. The geometric reasons why KR enjoys remarkably consistent election rankings as candidates are added or dropped are explained. The power of this KR consistency is demonstrated by comparing KR and BC outcomes. But KR's consistency carries a heavy cost; it requires KR to partially dismiss the crucial “individual rationality of voters” assumption.
Year
DOI
Venue
2000
10.1007/s003550050171
Social Choice and Welfare
Keywords
Field
DocType
Individual Rationality,Complete Analysis,Geometric Reason,Borda Count,Positional Method
Welfare economics,Mathematical economics,Borda count,Rationality,Positional Method,Mathematics
Journal
Volume
Issue
ISSN
17
3
0176-1714
Citations 
PageRank 
References 
24
5.85
0
Authors
2
Name
Order
Citations
PageRank
DONALD G. SAARI19929.14
Vincent R. Merlin2277.54