We describe a process to compose and decompose choice behavior, called resolution. In the forward direction, resolutions amalgamate simple choices to create a complex one. In the backward direction, resolutions detect when and how a primitive choice can be deconstructed into smaller choices. A choice is resolvable if it is the resolution of smaller choices. Rationalizability, rationalizability by a preorder, and path independence are all preserved (backward and forward) by resolutions, whereas rationalizability by a weak order (equivalently, WARP) is not. We characterize resolvable choices, and show that resolvability generalizes WARP.

中文翻译：

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选择解决方案

我们描述了组成和分解选择行为的过程，称为解决。在向前的方向上，决议将简单的选择融合在一起，以创建复杂的选择。在向后的方向上，分辨率会检测何时以及如何将原始选择解构为较小的选择。如果选择较小的分辨率，则该选择是可解决的。解析度保留了合理性，预排序的合理性以及路径独立性（向后和向前），而弱顺序的合理性（等效于WARP）则未被保留。我们表征了可解决的选择，并表明可解决性概括了WARP。