"Are there election methods that always (i.e., for all rankings that voters might conceivably have) give us a clear-cut winner, respect everyone’s vote, and avoid vote-splitting (or equivalent conditions)? Unfortunately, the answer is no. Some sixty-five years ago, the economist Kenneth Arrow published his Impossibility Theorem, showing that no electoral method can satisfy all three requirements (although there are many rules that satisfy two out of three—for example, plurality rule respects everyone’s vote and produces a winner, but often leads to vote-splitting). [footnote omitted] The natural follow-up question is whether there is an election method that satisfies these requirements more often (i.e., for a wider class of voters’ rankings) than any other. Here, fortunately, there is a clear answer: the solution is the classic method of majority rule, strongly advocated by the Marquis de Condorcet, the great eighteenth-century political thinker.
"Instead of limiting a voter to choosing a single candidate, Condorcet proposed that voters should have the option of ranking candidates on the ballot from best to worst. The winner is the candidate who, according to the rankings, would beat each opponent in a head-to-head contest."