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We extend the refinement of information process introduced by Cornet and De Boisdeffre (Econ Theory 38:287–293, 2009) to a model with uncountably many states of nature. This setting has the larger scope. It encompasses, in particular, the Cornet and De Boisdeffre (J Math Econ 38:393–410, 2002) model, where agents may have private information, and De Boisdeffre (Book in Honor of the 65th anniversary...
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