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Semilattices, canonical embeddings and representing measures

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  • Gianluca Cassese

    (Università Milano Bicocca)

Abstract

We provide conditions under which a modular function defined on a semilattice X and with values in a commutative group is homomorphic to a modular function defined on a lattice L for any embedding $$X\hookrightarrow L$$ X ↪ L .

Suggested Citation

  • Gianluca Cassese, 2020. "Semilattices, canonical embeddings and representing measures," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 55-74, June.
    • Handle: RePEc:spr:decfin:v:43:y:2020:i:1:d:10.1007_s10203-019-00264-9
    DOI: 10.1007/s10203-019-00264-9
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    References listed on IDEAS

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    1. Chateauneuf, Alain & Jaffray, Jean-Yves, 1989. "Some characterizations of lower probabilities and other monotone capacities through the use of Mobius inversion," Mathematical Social Sciences, Elsevier, vol. 17(3), pages 263-283, June.
    2. Michel Grabisch, 2016. "Set Functions, Games and Capacities in Decision Making," Theory and Decision Library C, Springer, number 978-3-319-30690-2, December.
    3. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
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    Cited by:

    1. Gianluca Cassese & Pietro Rigo & Barbara Vantaggi, 2020. "A special issue on the mathematics of subjective probability," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 1-2, June.

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