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Erscheinungsjahr: 
2020
Quellenangabe: 
[Journal:] Annals of Operations Research [ISSN:] 1572-9338 [Volume:] 289 [Issue:] 2 [Publisher:] Springer US [Place:] New York, NY [Year:] 2020 [Pages:] 431-448
Verlag: 
Springer US, New York, NY
Zusammenfassung: 
This research note is concerned with static choices between alternative mixtures of lotteries with one common mixture component and identical mixture weights. It is shown that the common component induces a conditional preference relation on the underlying lottery space with given (unconditional) preference structure. Induced preferences of this type arise in the comparisons with which the independence axiom of expected utility theory is specifically concerned. Given a few obvious properties of the induced preferences, two basic results are obtained: first, the conditionalisation operation is an order-preserving isomorphism, and, secondly, if the conditional preferences satisfy stochastic dominance preference, they necessarily violate the independence axiom. Together, the two results preclude any possibility of postulating independence consistently for static decision making under risk. The independence axiom is thus generally invalid as a normative principle of rational risky choice.
Schlagwörter: 
Rational choice
Risky choice
Normative theory
Expected utility
Independence axiom
JEL: 
D81
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