arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2204.07428cs.AImath.PR
收藏

有限评价下E-容许决策问题

Decision-making with E-admissibility given a finite assessment of choices

Ghent University(根特大学)

Arne Decadt, Alexander Erreygers, Jasper De Bock, Gert de Cooman

摘要:

鉴于信息的决策者肯定拒绝从给定的有限选项集的选项,我们研究了决策的影响与E-容许。这意味着,从任何有限的选项集合中,我们拒绝那些与给定信息不相容的概率质量函数给出最高期望效用的选项。我们使用选择函数的数学框架来指定选择和拒绝,并以这些函数的条件的形式指定可用的信息。我们将给定信息的最保守扩展扩展到基于E-容许性进行选择的选择函数,并提供了一个通过求解线性可行性问题来计算此扩展的算法。

英文摘要:

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.

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。

↑