Mathematical Social Sciences 93:141-145 (2018)
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| Abstract |
A strongly independent preorder on a possibly in finite dimensional convex set that satisfi es two of the following conditions must satisfy the third: (i) the Archimedean continuity condition; (ii) mixture continuity; and (iii) comparability under the preorder is an equivalence relation. In addition, if the preorder is nontrivial (has nonempty asymmetric part) and satisfi es two of the following conditions, it must satisfy the third: (i') a modest strengthening of the Archimedean condition; (ii') mixture continuity; and (iii') completeness. Applications to decision making under conditions of risk and uncertainty are provided.
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| Keywords | Expected utility Incompleteness Continuity Incommensurability Strong independence Risk Uncertainty |
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References found in this work BETA
Is Incommensurability Vagueness?John Broome - 1997 - In Ruth Chang (ed.), Incommensurability, Incomparability and Practical Reason. Harvard University Press.
Representation of Strongly Independent Preorders by Sets of Scalar-Valued Functions.David McCarthy, Kalle Mikkola & Teruji Thomas - 2017 - MPRA Paper No. 79284.
Indecisiveness Aversion and Preference for Commitment.Eric Danan, Ani Guerdjikova & Alexander Zimper - 2012 - Theory and Decision 72 (1):1-13.
On the Representation of Incomplete Preferences Over Risky Alternatives.Paola Manzini & Marco Mariotti - 2008 - Theory and Decision 65 (4):303-323.
Citations of this work BETA
Utilitarianism with and Without Expected Utility.David McCarthy, Kalle Mikkola & Joaquin Teruji Thomas - 2020 - Journal of Mathematical Economics 87:77-113.
Aggregation for Potentially Infinite Populations Without Continuity or Completeness.David McCarthy, Kalle M. Mikkola & J. Teruji Thomas - 2019 - arXiv:1911.00872 [Econ.TH].
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