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Accounting for optimism and pessimism in expected utility. (English) Zbl 1243.91046

This paper tackles the problem of characterizing preference relations between lotteries modified by mixing with probabilities centered at the extremes of their supports. Conditions for the representation of a preference by a non-extreme outcome expected utility are established under assumptions like stochastic dominance, Jensen continuity, von Neumann-Morgenstern independence and independence of probability shifts.

MSC:

91B16 Utility theory
91B08 Individual preferences
91B70 Stochastic models in economics
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References:

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