The Borda Count is the Best Method of Voting
14th January 2025
Alex Tabarrok, a Real Economist.
It’s well known that the voting methods we use are highly defective, as they fail to meet fundamental criteria like positive responsiveness, the Pareto principle, and stability. Positive responsiveness (monotonicity) means that if a candidate improves on some voters’ ballots, this should not reduce the candidate’s chances of winning. Yet, many voting methods, including runoffs and ranked-choice voting, fail positive responsiveness. In other words, candidates who became more preferred by voters can end up losing when they would have won when they were less preferred! It’s even more shocking that some voting systems can fail the Pareto principle, which simply says that if every voter prefers x to y then the voting system should not rank y above x. Everyone knows that in a democracy a candidate may be elected that the minority ranks below another possible candidate but how many know that there are democratic voting procedures where a candidate may be elected that the majority ranks below another possible candidate or even that democratic voting procedures may elect a candidate that everyone ranks below another possible candidate! That is the failure of the Pareto principle and the chaos results of McKelvey–Schofield show that this kind of outcome should be expected.
Almost all researchers in social choice understand the defects of common voting systems and indeed tend to agree that the most common system, first past the post voting, is probably the most defective! But, as no system is perfect, there has been less consensus on which methods are best. Ranked choice voting, approval voting and the Borda Count all have their proponents. In recent years, however, there has been a swing towards the Borda Count.