Independent natural extension for sets of desirable gambles
نویسندگان
چکیده
Consider a finite number of variables Xn, n ∈ N, in the respective finite sets Xn. For R ⊆ N, we denote by XR the tuple of variables that takes values in the Cartesian product XR := ×r∈RXr. We denote by G (XR) the set of gambles on XR. Suppose DN ⊆ G (XN) models a subject’s beliefs about XN, Marginalisation. The corresponding beliefs about the variable XO, where O⊆ N, are given by the marginal model: margO(DN) := {g ∈ G (XO) : g ∈DN}= DN ∩G (XO)
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