By Arrow’s Theorem, any process by which rankings are mapped to scores must violate one of these criteria, once the scores are processed using my algorithm. This is not terribly surprising, as you lose all the information about relative importance in doing so.
but can we find a process which violates only determinism?
That’s exactly what tommccabe’s process does. It violates determinism in Arrow’s sense of the word, but it satisfies the other conditions. Moreover, it violates Arrow-style determinism in a way that we arguably want anyway.
By Arrow’s Theorem, any process by which rankings are mapped to scores must violate one of these criteria, once the scores are processed using my algorithm. This is not terribly surprising, as you lose all the information about relative importance in doing so.
Yes; but can we find a process which violates only determinism? Because we don’t need determinism.
That’s exactly what tommccabe’s process does. It violates determinism in Arrow’s sense of the word, but it satisfies the other conditions. Moreover, it violates Arrow-style determinism in a way that we arguably want anyway.