{"title":"Aggregating inconclusive data sets","authors":"Gabrielle Gayer , Ehud Lehrer , Dotan Persitz","doi":"10.1016/j.geb.2024.04.011","DOIUrl":null,"url":null,"abstract":"<div><p>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.</p></div>","PeriodicalId":48291,"journal":{"name":"Games and Economic Behavior","volume":"146 ","pages":"Pages 77-90"},"PeriodicalIF":1.0000,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Games and Economic Behavior","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0899825624000587","RegionNum":3,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
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.
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