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army1987 comments on The Ellsberg paradox and money pumps - Less Wrong
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The standard meaning of “risk-{adverse, neutral, seeking} in terms of X”, AFAICT, is that your utility is a {concave downward, linear, concave upward} function of X, and hence you cannot be risk-adverse or risk-seeking in terms of utility (assuming the von Neumann-Morgenstern axioms).