A uniqueness theorem for convex-ranged probabilities |
| |
Authors: | Massimo Marinacci |
| |
Institution: | Dipartimento di Statistica e Matematica Applicata, Università di Torino?e-mail: massimo@econ.unito.it, RO
|
| |
Abstract: | A finitely additive probability measure P defined on a class Σ of subsets of a space Ω is convex-ranged if, for all P(A)>0 and all 0 < α < 1, there exists a set, Σ∋B⊆A, such that P(B)=αP(A).?Our main result shows that, for any two probabilities P and Q, with P convex-ranged and Q countably additive, P=Q whenever there exists a set A∈Σ, with 0 < P(A) < 1, such that (P(A)=P(B)?Q(A)=Q(B)) for all B∈Σ.
Received: 18 December 1999 / Accepted: 17 July 2000 |
| |
Keywords: | Mathematics Subject Classification (2000):28A10 91B06 |
本文献已被 SpringerLink 等数据库收录! |
|