caa a22 4500 475754360 CHVBK 20180406123534.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1007/s102030070003 doi (NATIONALLICENCE)springer-10.1007/s102030070003 Marinacci Massimo Dipartimento di Statistica e Matematica Applicata, Università di Torino¶e-mail: massimo@econ.unito.it, RO aut A uniqueness theorem for convex-ranged probabilities [Elektronische Daten] [Massimo Marinacci] 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. Springer-Verlag Italia, 2000 Mathematics Subject Classification (2000):28A10, 91B06 nationallicence Journal of Economic Literature Classification:C60, D81 nationallicence https://doi.org/10.1007/s102030070003 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s102030070003 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Marinacci Massimo Dipartimento di Statistica e Matematica Applicata, Università di Torino¶e-mail: massimo@econ.unito.it, RO aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer