A theory is developed to explain all possible (single profile) positional voting paradoxes. This includes all pairwise voting cycles, problems with agendas, conflict between the Borda and Condorcet winners, and differences among positional outcomes (such as the plurality and antiplurality...

A theory is developed to explain all possible positional voting paradoxes coming from a single but arbitraily chosen profile. This includes all pairwise voting cycles, all conflict between Borda and Condorcet winners and rankings, all disagreement in outcomes among positional procedures, and all...