Aggregating inconclusive data sets

• 成果类型: Article
• 署名作者: Gayer, Gabrielle; Lehrer, Ehud; Persitz, Dotan
• 署名单位: Bar Ilan University; Durham University; Tel Aviv University
• 刊物名称: GAMES AND ECONOMIC BEHAVIOR
• ISSN/ISSBN: 0899-8256
• DOI: 10.1016/j.geb.2024.04.011
• 发表日期: 2024
• 页码: 77-90
• 关键词: Cooperative games; Aggregating data sets; Concave integrals

摘要

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.