混合集上偏好的完备性和传递性
Completeness and Transitivity of Preferences on Mixture Sets
摘要：
在本文中，我们表明，存在的阿基米德和混合连续性的二元关系，无论是经验不可证伪的原则，排除的可能性一致性（传递性）没有决定性（完整性），或决定性没有一致性，或在存在的弱一致性条件，既不。当从广义混合集的上下文中具体化为Herstein-Milnor（1953）意义下的混合集时，基本结果可以变得尖锐。我们将这些结果与先前的文献联系起来，并将其视为对选择空间结构与其上定义的二元关系的行为假设之间相互作用的研究的一部分; Eilenberg（1941）和Sonnenschein（1965）的ES研究计划，以及Schmeidler（1971）对其中特别有影响力的贡献。
英文摘要：
In this paper, we show that the presence of the Archimedean and the mixture-continuity properties of a binary relation, both empirically non-falsifiable in principle, foreclose the possibility of consistency (transitivity) without decisiveness (completeness), or decisiveness without consistency, or in the presence of a weak consistency condition, neither. The basic result can be sharpened when specialized from the context of a generalized mixture set to that of a mixture set in the sense of Herstein-Milnor (1953). We relate the results to the antecedent literature, and view them as part of an investigation into the interplay of the structure of the choice space and the behavioral assumptions on the binary relation defined on it; the ES research program due to Eilenberg (1941) and Sonnenschein (1965), and one to which Schmeidler (1971) is an especially influential contribution.
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