Borda Count

The Borda Count is a positional voting system named after the French mathematician Jean-Charles de Borda, who proposed it to the French Academy of Sciences in 1770 as a fairer alternative to plurality voting. Each voter submits a full ranking of the candidates. With n candidates, a first-place ranking typically earns n−1 points, a second-place ranking n−2 points, and so on down to zero for the last-ranked candidate. The candidate with the highest aggregate score wins.

The method is designed to select broadly acceptable consensus candidates rather than narrowly preferred ones. Because it rewards being ranked highly across many ballots — not just first on some — it tends to favor compromise winners and penalize polarizing figures. This makes it attractive in contexts where legitimacy and broad support matter more than majoritarian decisiveness.

Borda Count satisfies several desirable criteria, including monotonicity and the Condorcet loser criterion (a candidate who would lose head-to-head against every other candidate cannot win). However, it fails the Condorcet winner criterion, meaning a candidate who would beat every rival in pairwise contests may still lose under Borda. It is also vulnerable to strategic burying, where voters insincerely rank a strong rival of their preferred candidate last, and to clone candidates, where adding similar candidates can shift the outcome. The Marquis de Condorcet himself raised these objections in the 1780s, sparking a foundational debate in social choice theory.

Real-world uses are limited but notable. Nauru uses a modified Borda variant (the Dowdall system, with fractional weights of 1, 1/2, 1/3, …) for its parliamentary elections. Slovenia uses a Borda-like mechanism for the two parliamentary seats reserved for the Hungarian and Italian minorities. Variants also appear in the Eurovision Song Contest scoring, sports MVP awards such as the Heisman Trophy and MLB Most Valuable Player voting, and academic committee decisions. In international organizations, it is occasionally floated as a tiebreaker but rarely adopted formally.