Aggregating Inconclusive Data Sets

Gayer, Gabrielle; Lehrer, Ehud; Persitz, Dotan

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.

Citation

Gayer, G., Lehrer, E., & Persitz, D. (2024). Aggregating Inconclusive Data Sets. Games and Economic Behavior, 146, 77-90. https://doi.org/10.1016/j.geb.2024.04.011

• Journal Article Type: Article
• Acceptance Date: Apr 26, 2024
• Online Publication Date: May 13, 2024
• Publication Date: 2024-07
• Deposit Date: May 2, 2024
• Publicly Available Date: Nov 14, 2025
• Journal: Games and Economic Behavior
• Print ISSN: 0899-8256
• Electronic ISSN: 1090-2473
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 146
• Pages: 77-90
• DOI: https://doi.org/10.1016/j.geb.2024.04.011
• Public URL: https://durham-repository.worktribe.com/output/2432311