Conglomerable coherence
نویسندگان
چکیده
منابع مشابه
Conglomerable coherence
We contrast Williams’ and Walley’s theories of coherent lower previsions in the light of conglomerability. These are two of the most credited approaches to a behavioural theory of imprecise probability. Conglomerability is the notion that distinguishes them the most: Williams’ theory does not consider it, while Walley aims at embedding it in his theory. This question is important, as conglomera...
متن کاملConglomerable natural extension
At the foundations of probability theory lies a question that has been open since de Finetti framed it in 1930: whether or not an uncertainty model should be required to be conglomerable. Conglomerability is related to accepting infinitely many conditional bets. Walley is one of the authors who have argued in favor of conglomerability, while de Finetti rejected the idea. In this paper we study ...
متن کاملConglomerable Coherent Lower Previsions
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 ...
متن کاملComputing the Conglomerable Natural Extension
Given a coherent lower prevision P , we consider the problem of computing the smallest coherent lower prevision F ≥ P that is conglomerable, in case it exists. F is called the conglomerable natural extension. Past work has showed that F can be approximated by an increasing sequence (En)n∈N of coherent lower previsions. We close an open problem by showing that this sequence can be made of infini...
متن کاملOn the problem of computing the conglomerable natural extension
Embedding conglomerability as a rationality requirement in probability was among the aims of Walley’s behavioural theory of coherent lower previsions. However, recent work has shown that this attempt has only been partly successful. If we focus in particular on the extension of given assessments to a rational and conglomerable model (in the least-committal way), we have that the procedure used ...
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ژورنال
عنوان ژورنال: International Journal of Approximate Reasoning
سال: 2013
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2013.04.016