Recent developments in voting theory show that Condorcet profiles embedded in electoratesare responsible for conflicts between pairwise voting methods and for reversals ofrankings under positional methods whenever candidates are dropped or added. Because ofthe strong symmetry of the rankings of...

Condorcet profiles are responsible for a number of well known preference aggregation paradoxes. It is reasonable to claim that these profiles represent complete ties between the candidates and should therefore be excluded to determine election outcomes. Established profile decomposition...