In this paper, the beginnings of a new approach to the theory of aggregation are developed. The basic idea is that aggregation should involve two things: (a) data over which social preferences are defined should be mapped into a smaller-dimensional space, and (b) there should exist an ordering...

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We deal with an `organization' having m individual agents (the `agents') and one central agent or agency (the `coordinator'), and the problem of allocating a fixed supply of n commodities among the agents. The coordinator wishes to distribute the commodities in such a way as to maximize an...