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Aggregation for general populations without continuity or completeness

Listed author(s):
  • McCarthy, David
  • Mikkola, Kalle
  • Thomas, Teruji

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.

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File URL: https://mpra.ub.uni-muenchen.de/80820/1/MPRA_paper_80820.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 80820.

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Date of creation: 16 Aug 2017
Handle: RePEc:pra:mprapa:80820
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  1. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2017. "Representation of strongly independent preorders by sets of scalar-valued functions," MPRA Paper 79284, University Library of Munich, Germany.
  2. McCarthy, David & Mikkola, Kalle & Thomas, Teruji, 2017. "Representation of strongly independent preorders by vector-valued functions," MPRA Paper 80806, University Library of Munich, Germany.
  3. Paolo Ghirardato & Fabio Maccheroni & Massimo Marinacci & Marciano Siniscalchi, 2003. "A Subjective Spin on Roulette Wheels," Econometrica, Econometric Society, vol. 71(6), pages 1897-1908, November.
  4. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
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