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Teruji Thomas
Oxford University
  1.  53
    Utilitarianism with and Without Expected Utility.David McCarthy, Kalle Mikkola & Teruji Thomas - 2016 - MPRA Paper No. 90125.
    We give two social aggregation theorems under conditions of risk, one for constant population cases, the other an extension to variable populations. Intra and interpersonal welfare comparisons are encoded in a single 'individual preorder'. The individual preorder then uniquely determines a social preorder. The social preorders described by these theorems have features that may be considered characteristic of Harsanyi-style utilitarianism, such as indifference to ex ante and ex post equality. However, the theorems are also consistent with the rejection of all (...)
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  2.  33
    Aggregation for General Populations Without Continuity or Completeness.David McCarthy, Kalle Mikkola & Teruji Thomas - 2017 - MPRA Paper No. 80820.
    We generalize Harsanyi's social aggregation theorem. We allow the population to be infi nite, 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 (...)
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  3.  32
    Representation of Strongly Independent Preorders by Sets of Scalar-Valued Functions.David McCarthy, Kalle Mikkola & Teruji Thomas - 2017 - MPRA Paper No. 79284.
    We provide conditions under which an incomplete strongly independent preorder on a convex set X can be represented by a set of mixture preserving real-valued functions. We allow X to be infi nite dimensional. The main continuity condition we focus on is mixture continuity. This is sufficient for such a representation provided X has countable dimension or satisfi es a condition that we call Polarization.
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