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Almost-Objective Uncertainty
Mark J. Machina, University of California, San Diego
ABSTRACT: Every subjective state space with sufficient (e.g., Euclidean) structure contains almost-objective events that approximate, and in the limit attain, the standard properties of objectively uncertain events for all individuals with event-smooth betting preferences - whether they are expected utility/non-expected utility, state-independent/state-dependent, or probabilistically sophisticated/non-probabilistically sophisticated. These properties include well-defined and unanimously agreed-upon revealed likelihoods that are independent of the realization of other subjective events, probabilistic sophistication over almost-objective acts, and linearity of state-independent or state-dependent expected utility preferences over almost-objective acts and almost-objective mixtures of subjective acts. Many real-world randomization devices are based on events of this form.
SUGGESTED CITATION: Mark J. Machina,
"Almost-Objective Uncertainty"
(July 1, 2001).
Department of Economics, UCSD.
Paper 2001-12.
http://repositories.cdlib.org/ucsdecon/2001-12
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