Aggregation for general populations without continuity or completeness
Kalle Mikkola and
MPRA Paper from University Library of Munich, Germany
We generalize Harsanyi's social aggregation theorem. We allow the population to be infinite, and merely assume that individual and social preferences are given by strongly independent preorders on a convex set of arbitrary dimension. Thus we assume neither completeness nor any form of continuity. Under Pareto indifference, the conclusion of Harsanyi's theorem nevertheless holds almost entirely unchanged when utility values are taken to be vectors in a product of lexicographic function spaces. The addition of weak or strong Pareto has essentially the same implications in the general case as it does in Harsanyi's original setting.
Keywords: Harsanyi's utilitarian theorem; discontinuous preferences; incomplete preferences; infinite populations (search for similar items in EconPapers)
JEL-codes: D60 D63 D81 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-mic and nep-upt
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