MPRA Paper No. 79284 (2017)
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| Abstract |
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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| Keywords | Expected utility Incompleteness Continuity Risk Uncertainty Strong independence Multi-representation |
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References found in this work BETA
Theory of Games and Economic Behavior.John von Neumann & Oskar Morgenstern - 1944 - Science and Society 9 (4):366-369.
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
Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.
Utilitarianism with and Without Expected Utility.David McCarthy, Kalle Mikkola & Joaquin Teruji Thomas - 2020 - Journal of Mathematical Economics 87:77-113.
Continuity and Completeness of Strongly Independent Preorders.David McCarthy & Kalle Mikkola - 2018 - Mathematical Social Sciences 93:141-145.
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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2017-08-21
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