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When an Event Makes a Difference

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  • Massimiliano Amarante
  • Fabio Maccheroni

Abstract

For (S, Σ) a measurable space, let $${\cal C}_1$$ and $${\cal C}_2$$ be convex, weak * closed sets of probability measures on Σ. We show that if $${\cal C}_1$$ ∪ $${\cal C}_2$$ satisfies the Lyapunov property , then there exists a set A ∈ Σ such that min μ1 ∈ $${\cal C}_1$$ μ 1 (A) > max μ2 ∈ $${\cal C}_2$$ (A). We give applications to Maxmin Expected Utility (MEU) and to the core of a lower probability. Copyright Springer 2006

Suggested Citation

  • Massimiliano Amarante & Fabio Maccheroni, 2006. "When an Event Makes a Difference," Theory and Decision, Springer, vol. 60(2), pages 119-126, May.
    • Handle: RePEc:kap:theord:v:60:y:2006:i:2:p:119-126
    DOI: 10.1007/s11238-005-4569-x
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    References listed on IDEAS

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    1. Nehring, Klaus, 1999. "Capacities and probabilistic beliefs: a precarious coexistence," Mathematical Social Sciences, Elsevier, vol. 38(2), pages 197-213, September.
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    7. Ghirardato, Paolo & Marinacci, Massimo, 2002. "Ambiguity Made Precise: A Comparative Foundation," Journal of Economic Theory, Elsevier, vol. 102(2), pages 251-289, February.
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    9. Amarante, Massimiliano & Filiz, Emel, 2007. "Ambiguous events and maxmin expected utility," Journal of Economic Theory, Elsevier, vol. 134(1), pages 1-33, May.
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    Cited by:

    1. Karni, Edi & Vierø, Marie-Louise, 2023. "Comparative incompleteness: Measurement, behavioral manifestations and elicitation," Journal of Economic Behavior & Organization, Elsevier, vol. 205(C), pages 423-442.
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    3. Massimiliano Amarante & Luigi Montrucchio, 2007. "Mas-Colell Bargaining Set of Large Games," Carlo Alberto Notebooks 63, Collegio Carlo Alberto.
    4. Amarante, Massimiliano, 2014. "A characterization of exact non-atomic market games," Journal of Mathematical Economics, Elsevier, vol. 54(C), pages 59-62.

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