A coin flip can be a good way to settle an election if the margin of victory is small and it is known that there is a good chance of fraud by one candidate. In that case, however, an even better rule is to award victory to the apparent loser

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...