We provide an additive utility representation for any complete and transitive preference over menus of alternatives. The representation makes it seem as if a sophisticated individual takes into account the state dependent payoffs of two individuals that have to consume the same alternative from the menu but may have inconsistent preferences in some of the subjective states. We also consider special cases including when only one state is needed. Furthermore, we find upper bounds on the minimal number of subjective states needed for the representation.

中文翻译：

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菜单实用程序表示中的复杂性和偏好不一致

我们为替代菜单的任何完整和可传递的偏好提供附加效用表示。这种表示方式看起来好像一个老练的个人考虑了两个人的状态相关收益，这两个人必须从菜单中消费相同的选择，但在某些主观状态下可能具有不一致的偏好。我们还考虑特殊情况，包括只需要一种状态的情况。此外，我们找到了表示所需的最小主观状态数量的上限。