Pierre Daunou, a contemporary of Borda and Condorcet during the era of the French Revolution and active debates on alternative voting rules, proposed a rule that chooses the strong Condorcet winner if there is one, otherwise eliminates Condorcet losers and uses plurality voting on the remaining...

An extension rule assigns to each fractional tournament x (specifying, for every pair of social alternatives a and b, the proportion xab of voters who prefer a to b) a random choice function y (specifying a collective choice probability distribution for each subset of alternatives), which...