Consider an election with three candidates A1, A2 and A3. Suppose that N is the total number of votes cast of which A1 receives a1 votes, A2 receives a2 votes and A3 receives a3 = N - (a1 + a2) votes. We assume without loss of generality that a1 > a2 > a3. Suppose further that n votes are irregular or suspect. If these votes are removed it is possible that the result of the election may be reversed. Does such a possibility preclude the determination of the rightful winner without holding a new election?
@article{urn:eudml:doc:40670,
title = {Probability of reversal in an election with more than two candidates.},
journal = {Trabajos de Estad\'\i stica e Investigaci\'on Operativa},
volume = {33},
year = {1982},
pages = {119-122},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:40670}
}
Rohatgi, Vijay K. Probability of reversal in an election with more than two candidates.. Trabajos de Estadística e Investigación Operativa, Tome 33 (1982) pp. 119-122. http://gdmltest.u-ga.fr/item/urn:eudml:doc:40670/