When reading the section on social preference I couldn't help but think of Saaty's Analytic Hierarchy Process and its pairwise comparisons. Would that not satis

When reading the section on social preference I couldn't help but think of Saaty's Analytic Hierarchy Process and its pairwise comparisons. Would that not satisfy Arrow's three requirements? It satisfies the first, since it functions regardless of the preferences themselves (though the consistency matrix may suffer); it satisfies the second on its face, since if everyone prefers A over B, then A will be ranked higher under AHP; and it satisfies the third, since only pairwise comparisons serve as inputs to the algorithm.