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Social Aggregation of Preferences, and the Distance between Economic Agents

This paper defines and investigates a new metric that measures the distance between preference relations. The metric induces a topology on spaces of preferences, and we inquire into the properties of this topology. An axiomatic characterization of the metric is also given. Finally, referring to a problem in the theory of social choice, we show that with our topology, some natural domains of preferences admit social choice rules that are continuous, anonymous, and respect unanimity.