论文标题
一般巴拉克空间中的连贯和阿基米德选择
Coherent and Archimedean choice in general Banach spaces
论文作者
论文摘要
我通过非常通用的选择模型（称为理想的选项集）介绍并研究了一个新的Archimedeanity概念，用于在抽象Banach空间中生活的二进制和非二进制选择的新概念。 In order to be able to bring an important diversity of contexts into the fold, amongst which choice between horse lottery options, I pay special attention to the case where these linear spaces don't include all `constant' options.I consider the frameworks of conservative inference associated with Archimedean (and coherent) choice models, and also pay quite a lot of attention to representation of general (non-binary) choice models in terms of the simpler, binary ones.The representation theorems proved here provide在许多其他选择方法中，Levi的E-允许性和Walley-Sen最大性的公理表征。
I introduce and study a new notion of Archimedeanity for binary and non-binary choice between options that live in an abstract Banach space, through a very general class of choice models, called sets of desirable option sets. In order to be able to bring an important diversity of contexts into the fold, amongst which choice between horse lottery options, I pay special attention to the case where these linear spaces don't include all `constant' options.I consider the frameworks of conservative inference associated with Archimedean (and coherent) choice models, and also pay quite a lot of attention to representation of general (non-binary) choice models in terms of the simpler, binary ones.The representation theorems proved here provide an axiomatic characterisation for, amongst many other choice methods, Levi's E-admissibility and Walley-Sen maximality.
