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On the existence of a probability measure compatible with a total preorder on a Boolean algebra

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  • Chateauneuf, Alain

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  • Chateauneuf, Alain, 1985. "On the existence of a probability measure compatible with a total preorder on a Boolean algebra," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 43-52, February.
    • Handle: RePEc:eee:mateco:v:14:y:1985:i:1:p:43-52
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    Cited by:

    1. Sarin, Rakesh & Wakker, Peter P., 2000. "Cumulative dominance and probabilistic sophistication," Mathematical Social Sciences, Elsevier, vol. 40(2), pages 191-196, September.
    2. Gilboa, Itzhak & Lehrer, Ehud, 1991. "The value of information - An axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 20(5), pages 443-459.
    3. Ha-Huy, Thai, 2019. "Savage's theorem with atoms," MPRA Paper 96108, University Library of Munich, Germany.
    4. Zhang, Jiankang, 1999. "Qualitative probabilities on [lambda]-systems," Mathematical Social Sciences, Elsevier, vol. 38(1), pages 11-20, July.
    5. José Alcantud & Ritxar Arlegi, 2008. "Ranking sets additively in decisional contexts: an axiomatic characterization," Theory and Decision, Springer, vol. 64(2), pages 147-171, March.
    6. Mackenzie, Andrew, 2019. "A foundation for probabilistic beliefs with or without atoms," Theoretical Economics, Econometric Society, vol. 14(2), May.
    7. Peter C. Fishbur, 1992. "A general axiomatization of additive measurement with applications," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(6), pages 741-755, October.
    8. Klaus Nehring, 2006. "Decision-Making in the Context of Imprecise Probabilistic Beliefs," Economics Working Papers 0034, Institute for Advanced Study, School of Social Science.
    9. Richter, Marcel K. & Wong, Kam-Chau, 2016. "Likelihood relations and stochastic preferences," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 28-35.
    10. Minardi, Stefania & Savochkin, Andrei, 2015. "Preferences with grades of indecisiveness," Journal of Economic Theory, Elsevier, vol. 155(C), pages 300-331.
    11. LiCalzi, Marco, 1998. "Variations on the measure representation approach," Journal of Mathematical Economics, Elsevier, vol. 29(3), pages 255-269, April.
    12. Mackenzie, Andrew & Komornik, Vilmos, 2023. "Fairly taking turns," Games and Economic Behavior, Elsevier, vol. 142(C), pages 743-764.
    13. Fishburn, Peter C. & LaValle, Irving H., 1998. "Subjective expected lexicographic utility with infinite state sets," Journal of Mathematical Economics, Elsevier, vol. 30(3), pages 323-346, October.
    14. Andrew Mackenzie, 2021. "On atom-swarming and Luce’s theorem for probabilistic beliefs," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(1), pages 67-74, April.
    15. Vantaggi, Barbara, 2010. "Incomplete preferences on conditional random quantities: Representability by conditional previsions," Mathematical Social Sciences, Elsevier, vol. 60(2), pages 104-112, September.
    16. Christopher Chambers, 2007. "An ordinal characterization of the linear opinion pool," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 457-474, December.

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