Aggregating inconclusive data sets

Gabrielle Gayer, Ehud Lehrer and Dotan Persitz

Games and Economic Behavior, 2024, vol. 146, issue C, 77-90

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.

Keywords: Cooperative games; Aggregating data sets; Concave integrals (search for similar items in EconPapers)
JEL-codes: C71 D81 (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:gamebe:v:146:y:2024:i:c:p:77-90

DOI: 10.1016/j.geb.2024.04.011

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