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Aggregating inconclusive data sets

Author

Listed:
  • 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.

Suggested Citation

  • Gayer, Gabrielle & Lehrer, Ehud & Persitz, Dotan, 2024. "Aggregating inconclusive data sets," Games and Economic Behavior, Elsevier, vol. 146(C), pages 77-90.
    • Handle: RePEc:eee:gamebe:v:146:y:2024:i:c:p:77-90
    DOI: 10.1016/j.geb.2024.04.011
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    References listed on IDEAS

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    More about this item

    Keywords

    Cooperative games; Aggregating data sets; Concave integrals;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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