Abstract
A. Rubinstein's similarity-relation approach to decision making under uncertainty is extended by introducing a new concept of correlated similarity relations. It is shown that every expected utility preference is consistent with the e-difference similarity relation on the prize space and some correlated similarity relations on the probability space, and that a similarity relation on the prize space and correlated similarity relations on the probability space overdetermine the preference (in A. Rubinstein's sense).
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