论文标题
鉴于选择有限评估
Decision-making with E-admissibility given a finite assessment of choices
论文作者
论文摘要
给定有关决策者肯定会拒绝给定有限选项的信息的信息，我们研究了具有电子允许性对决策的影响。这意味着，从任何有限的选项集中，我们拒绝那些与给定信息兼容的概率质量函数的选项，可提供最高的预期实用程序。我们使用选择功能的数学框架来指定选择和拒绝，并以此类功能的条件形式指定可用信息。我们将给定信息的最保守扩展表征为基于电子加法性做出选择的选择函数，并提供了一种通过解决线性可行性问题来计算此扩展的算法。
Given information about which options a decision-maker definitely rejects from given finite sets of options, we study the implications for decision-making with E-admissibility. This means that from any finite set of options, we reject those options that no probability mass function compatible with the given information gives the highest expected utility. We use the mathematical framework of choice functions to specify choices and rejections, and specify the available information in the form of conditions on such functions. We characterise the most conservative extension of the given information to a choice function that makes choices based on E-admissibility, and provide an algorithm that computes this extension by solving linear feasibility problems.
