Article ID: | iaor20116980 |
Volume: | 71 |
Issue: | 1 |
Start Page Number: | 111 |
End Page Number: | 128 |
Publication Date: | Jul 2011 |
Journal: | Theory and Decision |
Authors: | Jaffray Jean-Yves, Chateauneuf Alain, Gajdos Thibault |
Keywords: | Bayesian analysis |
We study the Full Bayesian Updating rule for convex capacities. Following a route suggested by Jaffray (1992), we define some properties one may want to impose on the updating process, and identify the classes of (convex and strictly positive) capacities that satisfy these properties for the Full Bayesian Updating rule. This allows us to characterize two parametric families of convex capacities: