Capacities And Probabilistic Beliefs: A Precarious Coexistence

@article{Nehring1999CapacitiesAP,
  title={Capacities And Probabilistic Beliefs: A Precarious Coexistence},
  author={K. Nehring},
  journal={Mathematical Social Sciences},
  year={1999},
  volume={38},
  pages={197-213}
}
  • K. Nehring
  • Published 1999
  • Mathematics
  • Mathematical Social Sciences
This paper raises the problem of how to define revealed probabilistic beliefs in the context of the capacity/Choquet Expected Utility model. At the center of the analysis is a decision-theoretically axiomatized definition of ""revealed unambiguous events."" The definition is shown to impose surprisingly strong restrictions on the underlying capacity and on the set of unambiguous events; in particular, the latter is always an algebra. Alternative weaker definitions violate even minimal criteria… Expand
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