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Evidence from various choice domains shows that the presentation order of the attributes of the available options can have important effects on decisions. We introduce a decision-theoretic model that allows for such effects. We identify simple properties of observable behavior that characterize the model. We show how attribute-order effects can cause the choice of an alternative to depend on its position on a list. Finally, we apply our model to derive some new insights into strategic framing in advertising and phenomena like the endowment effect.