Characterizing the set of coherent lower previsions with a finite number of constraints or vertices

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8 Citaten (Scopus)

Samenvatting

The standard coherence criterion for lower previsions is expressed using an infinite number of linear constraints. For lower previsions that are essentially defined on some finite set of gambles on a finite possibility space, we present a reformulation of this criterion that only uses a finite number of constraints. Any such lower prevision is coherent if it lies within the convex polytope defined by these constraints. The vertices of this polytope are the extreme coherent lower previsions for the given set of gambles. Our reformulation makes it possible to compute them. We show how this is done and illustrate the procedure and its results.

Originele taal-2Engels
TitelProceedings of the 26th Conference on Uncertainty in Artificial Intelligence, UAI 2010
RedacteurenPeter Grünwald, Peter Spirtes
UitgeverijAUAI Press
Pagina's466-473
Aantal pagina's8
ISBN van geprinte versie9780974903965
StatusGepubliceerd - 2010
Extern gepubliceerdJa
Evenement26th Conference on Uncertainty in Artificial Intelligence, UAI 2010 - Catalina Island, CA, Verenigde Staten van Amerika
Duur: 8 jul. 201011 jul. 2010

Congres

Congres26th Conference on Uncertainty in Artificial Intelligence, UAI 2010
Land/RegioVerenigde Staten van Amerika
StadCatalina Island, CA
Periode8/07/1011/07/10

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