∀还是∃?

IF 1.2 3区经济学 Q3 ECONOMICS

Theoretical Economics Pub Date : 2023-01-01 DOI:10.3982/te4946

Uzi Segal

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引用次数: 0

摘要

本文证明了在一些关于混合随机变量的公理中，结论对混合参数的所有值都成立的要求可以通过只要求参数的一个非平凡值的存在而减弱，该非平凡值不必固定。这就是独立性、间隔性和混合对称公理的情况。与标准公理不同，这些较弱的版本无法用实验方法反驳。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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∀ or ∃?

This paper shows that in some axioms regarding the mixture of random variables, the requirement that the conclusions hold for all values of the mixture parameter can be weakened by requiring the existence of only one nontrivial value of the parameter, which need not be fixed. This is the case for the independence, betweenness, and mixture symmetry axioms. Unlike the standard axioms, these weaker versions cannot be refuted by experimental methods.

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来源期刊

Theoretical Economics ECONOMICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

52 weeks

期刊介绍： Theoretical Economics publishes leading research in economic theory. It is published by the Econometric Society three times a year, in January, May, and September. All content is freely available. It is included in the Social Sciences Citation Index