Arrow's impossibility theorem shows that it is impossible to find a better voting system than pairwise majority voting.

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Arrow's impossibility theorem states that no voting system can simultaneously fulfill all of a certain set of reasonable fairness criteria (non-dictatorship, Pareto efficiency, independence of irrelevant alternatives, and unrestricted domain) when there are three or more options to choose from, not that pairwise majority voting is the best system.

Arrow's Impossibility Theorem Shows That It Is Impossible to Find