Title
Likelihood of voting outcomes with generalized IAC probabilities.
Abstract
After determining all supporting profiles with any number of voters for any specified three-candidate pairwise majority vote outcome, a new, large class of “octahedral” probability distributions, motivated by and including IAC, is introduced to examine various three-candidate voting outcomes involving majority vote outcomes. Illustrating examples include computing each distribution’s likelihood of a majority vote cycle and the likelihood that the Borda Count and Condorcet winners agree. Surprisingly, computations often reduce to a simple exercise of finding the volumes of tetrahedrons.
Year
DOI
Venue
2017
10.1016/j.mathsocsci.2017.01.003
Mathematical Social Sciences
Field
DocType
Volume
Welfare economics,Econometrics,Pairwise comparison,Borda count,Voting,Probability distribution,Majority rule,Statistics,Mathematics,Condorcet method
Journal
87
ISSN
Citations 
PageRank 
0165-4896
0
0.34
References 
Authors
5
2
Name
Order
Citations
PageRank
Tomas J. McIntee100.68
DONALD G. SAARI29929.14