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A uniqueness theorem for convex-ranged probabilities

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  • Massimo Marinacci

Abstract

A finitely additive probability measure P defined on a class of subsets of a space is convex-ranged if, for all P(A)>0 and all 0 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∈ , with 0

Suggested Citation

  • Massimo Marinacci, 2000. "A uniqueness theorem for convex-ranged probabilities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 23(2), pages 121-132.
    • Handle: RePEc:spr:decfin:v:23:y:2000:i:2:p:121-132
    Note: Received: 18 December 1999
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    Cited by:

    1. Massimiliano Amarante, 2004. "Notes and Comments: On the uniqueness of convex-ranged probabilities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 27(1), pages 81-85, August.
    2. Erio Castagnoli & Fabio Maccheroni & Massimo Marinacci, 2004. "Choquet Insurance Pricing: A Caveat," Mathematical Finance, Wiley Blackwell, vol. 14(3), pages 481-485, July.
    3. Felix-Benedikt Liebrich & Cosimo Munari, 2022. "Law-Invariant Functionals that Collapse to the Mean: Beyond Convexity," Mathematics and Financial Economics, Springer, volume 16, number 2, December.

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