Aggregating inconclusive data sets

IF 1 3区 经济学 Q3 ECONOMICS Games and Economic Behavior Pub Date : 2024-05-13 DOI:10.1016/j.geb.2024.04.011
Gabrielle Gayer , Ehud Lehrer , Dotan Persitz
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引用次数: 0

Abstract

An administrator is provided with data collected by several practitioners. These data may include inconclusive observations. The administrator is required to form a frequency distribution on the states of nature that would be approved by external auditors as long as it is compatible with the available information. We state a novel result on the compatibility of a probability with a finite set of capacities. We use this result to provide necessary and sufficient conditions for the compatibility of the administrator's frequency distribution with the data collected by the practitioners, according to two auditing criteria.

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汇总无结论的数据集
管理者会收到多名从业人员收集的数据。这些数据可能包括不确定的观察结果。管理者需要就自然状态形成一个频率分布,只要该频率分布与现有信息相符,就会得到外部审计师的认可。我们提出了一个关于概率与有限容量集兼容性的新结果。根据两个审计标准,我们利用这一结果为管理者的频率分布与从业人员收集的数据的兼容性提供了必要条件和充分条件。
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来源期刊
CiteScore
1.90
自引率
9.10%
发文量
148
期刊介绍: Games and Economic Behavior facilitates cross-fertilization between theories and applications of game theoretic reasoning. It consistently attracts the best quality and most creative papers in interdisciplinary studies within the social, biological, and mathematical sciences. Most readers recognize it as the leading journal in game theory. Research Areas Include: • Game theory • Economics • Political science • Biology • Computer science • Mathematics • Psychology
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