Aggregating inconclusive data sets

Gabrielle Gayer, Ehud Lehrer, Dotan Persitz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)77-90
Number of pages14
JournalGames and Economic Behavior
StatePublished - Jul 2024


FundersFunder number
Henry Crown Institute of Business Research in Israel
Jeremy Coller Foundation
Deutsche Forschungsgemeinschaft
Israel Science Foundation591/21
Israel Science Foundation


    • Aggregating data sets
    • Concave integrals
    • Cooperative games


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