Conglomerable Coherent Lower Previsions

  • Enrique Miranda
  • Marco Zaffalon
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 190)


Walley’s theory of coherent lower previsions builds upon the former theory by Williams with the explicit aim to make it deal with conglomerability. We show that such a construction has been only partly successful because Walley’s founding axiom of joint coherence does not entirely capture the implications of conglomerability. As a way to fully achieve Walley’s original aim, we propose then the new theory of conglomerable coherent lower previsions. We show that Walley’s theory coincides with ours when all conditioning events have positive lower probability, or when conditioning partitions are nested.


Coherent lower previsions conglomerability sets of desirable gambles Williams’ coherence 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Department of Statistics and Operations ResearchUniversity of OviedoOviedoSpain
  2. 2.IDSIAMannoSwitzerland

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