Comparing Preference Orders:Asymptotic Independence

A decision maker is presented with two preference orders over n objects and chooses the one which is “closer” to his own preference order. We consider several plausible comparison rules that the decision maker might employ. We show that when n is large and the pair of orders to be compared randomly realizes, different comparison rules lead to statistically almost independent choices. Thus, two people with a common preference relation may nonetheless exhibit almost uncorrelated choice patterns.