英文标题：
《Conditional Preference Orders and their Numerical Representations》
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作者：
Samuel Drapeau and Asgar Jamneshan
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最新提交年份：
2016
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英文摘要：
We provide an axiomatic system modeling conditional preference orders which is based on conditional set theory. Conditional numerical representations are introduced, and a conditional version of the theorems of Debreu on the existence of numerical representations is proved. The conditionally continuous representations follow from a conditional version of Debreu\'s Gap Lemma the proof of which relies on a conditional version of the axiom of choice, free of any measurable selection argument. We give a conditional version of the von Neumann and Morgenstern representation as well as automatic conditional continuity results, and illustrate them by examples.
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中文摘要：
我们提供了一个基于条件集理论的公理化系统来建模条件偏好顺序。引入了条件数值表示，证明了Debreu关于数值表示存在性定理的条件形式。这些条件连续表示来自德布鲁的间隙引理的条件版本，其证明依赖于选择公理的条件版本，没有任何可测量的选择论证。我们给出了von Neumann和Morgenstern表示的条件形式，以及自动条件连续性结果，并用例子加以说明。
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分类信息：

一级分类：Quantitative Finance 数量金融学
二级分类：Economics 经济学
分类描述：q-fin.EC is an alias for econ.GN. Economics, including micro and macro economics, international economics, theory of the firm, labor economics, and other economic topics outside finance
q-fin.ec是econ.gn的别名。经济学，包括微观和宏观经济学、国际经济学、企业理论、劳动经济学和其他金融以外的经济专题
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