一般Banach空间中的凝聚选择与阿基米德选择
Coherent and Archimedean choice in general Banach spaces
摘要：
我介绍和研究一个新的概念阿基米德的二进制和非二进制的选择之间的选择，生活在一个抽象的Banach空间，通过一个非常一般的选择模型，所谓的理想的选项集。为了能够将上下文的重要多样性带入折叠中，其中包括马彩票选项之间的选择，我特别注意这些线性空间不包括所有“常数”选项的情况。（和连贯的）选择模型，也付出了相当多的注意一般的代表性，这里证明的表示定理为Levi的E-容许性和Walley-Sen极大性等许多选择方法提供了一个公理化的刻画。
英文摘要：
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.
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