Proportions of profiles with a majority candidate

✍ Scribed by William V. Gehrlein; Peter C. Fishburn

• Book ID: 103929903
• Publisher: Elsevier Science
• Year: 1979
• Tongue: English
• Weight: 561 KB
• Volume: 5
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/0898-1221(79)90064-6

✦ Synopsis

Al&act-Let P.(m) be the proportion of the (m!)" n-tuples of linear orders on a set of m candidates in which there is a candidate x who is ranked ahead of candidate y in more than n/2 of the orders in the n-tuple for each yf x. New approaches are used lo extend significantly the known values of P.(m) for small odd n and for small m. The new values along with previously computed values are used lo construct a simple approximation for P.(m) that applies to all odd n z 3 and all 3 5 m C, 50. The approximation is within one-half of one per cent of every known value of P.(m) for which R s 3 and 3 I m < 50.