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This article examines how multiattribute impressions are formed in riskless choice and judgment when there is uncertainty or ambiguity associated with attribute-importance weights. Building on previous results in the modeling of ambiguity in probabilities, a mathematical theory of multiattribute judgments under weight uncertainty is developed. The theory incorporates framing effects for ambiguous weights in multiattribute judgments, similar to the gain-loss framing effects found in studies of preferences for lotteries. Specifically, it is shown that the importance of an attribute depends on whether it is seen as enhancing or preserving an expected level of utility in a category. The results of three experiments provide support for the predicted dependency of the effects of weight uncertainty on an attribute's framing. The data also suggest that, within frames, the effects of increasing uncertainty may not be additive across attributes. In particular, given pairs of uncertain attributes with different frames, subjects acted as if they were applying a single frame to both attributes, resulting in a common direction for the weight-uncertainty effect.
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