Probability calculations for transitivity of simple majority rule with anonymous voters

✍ Scribed by William V. Gehrlein

• Publisher: Springer US
• Year: 1990
• Tongue: English
• Weight: 307 KB
• Volume: 66
• Category: Article
• ISSN: 0048-5829
• DOI: 10.1007/bf00125777

✦ Synopsis

Let P(n, 4) denote the probability that there is a pairwise simple majority rule winner on four candidates with n voters under the impartial anonymous culture condition. Similarly, let Pt(n, 4) denote the probability that the complete ranking obtained by palrwise simple majority voting on four candidates with n voters is transitive under the impartial anonymous culture condition. We obtain representations for P(n, 4) and Pt(n, 4), and computed values for each for odd n w i t h 3 ~ n_< 19.