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    1. Roessler: Assistant Professor, Erasmus School of Economics, Erasmus University, Rotterdam, Netherlands, and Visiting Professor, Department of Economics, Brown University, Providence, RI. Phone (401) 863 2179, Fax (401) 863 1970, E-mail:
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    • I am grateful to my Ph.D. supervisors Peter Bardsley and Nisvan Erkal for helpful advice on this paper. I also thank the referees and my Ph.D. examiners, Matthew Ryan and Kieron Meagher, for thoughtful comments and suggestions, as well as audiences at the Australasian Econometric Society, Social Choice and Welfare, and Public Economic Theory meetings in 2006 (in particular, John Quiggin) for feedback.


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)

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