面对不确定性时抱最好的希望做最坏的打算：一种新型的不完全偏好
Hoping for the best while preparing for the worst in the face of uncertainty
AI总结：
面对不确定性提出“希望与准备偏好”新模型，通过最佳和最坏情景下福利水平比较行为，涉及多先验，以新方式解决信念与果断性权衡，刻画其完备化表示，还能从完备化中恢复该偏好。
摘要：
我们提出并公理化了一种不确定性下不完全偏好的新模型，称为“希望与准备偏好”。当且仅当一个行为在最佳情景下的福利水平（乐观评估）和在最坏情景下的福利水平（悲观评估）都高于另一个行为时，该行为才被认为比另一个行为更可取。我们的比较标准涉及多个先验，因为最佳和最坏情况是在概率分布集中确定的。我们认为，与现有的模糊性下的不完全标准相比，希望与准备偏好以一种新的方式解决了信念与果断性之间的权衡，更有利于果断性。我们刻画了一个承认（非对称）α-极大极小期望效用表示的不完全希望与准备偏好关系的完备化，其中α是唯一的。我们还表明，相反地，希望与准备偏好可以通过行为构造从其α-极大极小期望效用完备化中恢复。
英文摘要：
We propose and axiomatize a new model of incomplete preferences under uncertainty, hope-and-prepare preferences: one act is preferred to another if and only if both its optimistic evaluation -- the welfare level attained in the best-case scenario-- and its pessimistic evaluation --the welfare level attained in the worst-case scenario-- rank it above the other. Both evaluations are computed over sets of probability distributions. We make the case that, compared to existing incomplete criteria under ambiguity, hope-and-prepare preferences address the trade-off between conviction and decisiveness in a new way, which is more favorable to decisiveness. We characterize a completion of an incomplete hope-and-prepare preference relation admitting an (asymmetric) $α$-\textit{maxmin expected utility} representation, in which $α$ is unique. Conversely, given a standard $α$-MEU preference and a fixed value of $α$, we recover the concordant hope-and-prepare preference that it completes.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
