Comment by baikamur
7 hours ago
Arrow tells us that no voting system is perfect. But he doesn't say that no system is good enough. Other results suggest that the right kind of method can reduce polarization.[1]
In addition, "dictatorship" is kind of a technical term: picking a voter at random and electing their favorite is a dictatorship in the technical sense, but not in the colloquial sense.
And it doesn't as much say "polarization leads to dictatorship" as "Condorcet cycles lead to dictatorship". If voters were somehow forbidden from creating majority cycles, then the Condorcet relation passes all of his criteria. In practice, Condorcet cycles are extremely rare, at least under current conditions.[2]
[1] https://link.springer.com/content/pdf/10.1007/s10602-022-093... [2] https://www.cs.cornell.edu/andru/papers/civs24/
thanks for the added context i had not heard about Condorcet, i will check it out