ON DISTANCE METRICS IN LOCATION PROBLEMS

Product space metrics reflect the complementarity of product attributes and lead to different geometries in multidimensional spaces. This matters for optimal product positioning. I consider how a planner should design two substitute public goods with multiple attributes to best serve different needs. Attribute complementarity affects whether a given menu dominates another (using an extension of the Pareto criterion). Distancing the goods proportionately in every attribute guarantees improvement when tastes are maximally diverse. The intuition is that the planner must minimize overlap in the populations the goods serve, since benefits are wasted in appealing to the same individual with two offerings. (JEL C65, D78, H41)