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Subjective expected lexicographic utility with infinite state sets

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  • Fishburn, Peter C.
  • LaValle, Irving H.

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  • 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.
    • Handle: RePEc:eee:mateco:v:30:y:1998:i:3:p:323-346
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    References listed on IDEAS

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    1. Lehrer, Ehud, 1991. "On a representation of a relation by a measure," Journal of Mathematical Economics, Elsevier, vol. 20(1), pages 107-118.
    2. LaValle, Irving H. & Fishburn, Peter C., 1996. "On the varieties of matrix probabilities in nonarchimedean decision theory," Journal of Mathematical Economics, Elsevier, vol. 25(1), pages 33-54.
    3. LaValle, Irving H & Fishburn, Peter C, 1996. "Structuring and Assessing Matrix-Probability Distributions," Journal of Risk and Uncertainty, Springer, vol. 13(2), pages 125-146, September.
    4. LaValle, Irving H & Fishburn, Peter C, 1996. "Structuring and Assessing Linear Lexicographic Utility," Journal of Risk and Uncertainty, Springer, vol. 13(2), pages 93-124, September.
    5. Robert J. Aumann, 2025. "A Definition of Subjective Probability," World Scientific Book Chapters, in: SELECTED CONTRIBUTIONS TO GAME THEORY, chapter 2, pages 43-53, World Scientific Publishing Co. Pte. Ltd..
    6. 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.
    7. Claude Toulet, 1986. "An Axiomatic Model of Unbounded Utility Functions," Mathematics of Operations Research, INFORMS, vol. 11(1), pages 81-94, February.
    8. Lavalle, Irving H & Fishburn, Peter C, 1992. "State-Independent Subjective Expected Lexicographic Utility," Journal of Risk and Uncertainty, Springer, vol. 5(3), pages 217-240, July.
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    Cited by:

    1. Robert F. Bordley & Stephen M. Pollock, 2009. "A Decision-Analytic Approach to Reliability-Based Design Optimization," Operations Research, INFORMS, vol. 57(5), pages 1262-1270, October.
    2. Marcus Pivato, 2014. "Additive representation of separable preferences over infinite products," Theory and Decision, Springer, vol. 77(1), pages 31-83, June.
    3. Niklas Vareman, 2008. "Norms and Descriptions," Decision Analysis, INFORMS, vol. 5(2), pages 88-99, June.
    4. Hugo Cruz-Sanchez, 2016. "Generalized Subjective Lexicographic Expected Utility Representation," Papers 1605.07680, arXiv.org.
    5. Halpern, Joseph Y., 2010. "Lexicographic probability, conditional probability, and nonstandard probability," Games and Economic Behavior, Elsevier, vol. 68(1), pages 155-179, January.
    6. Bordley, Robert F., 2005. "Econophysics and individual choice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 479-495.
    7. Arthur Paul Pedersen & Samuel Allen Alexander, 2025. "Formal Power Series Representations in Probability and Expected Utility Theory," Papers 2508.00294, arXiv.org.
    8. Marcus Pivato & Élise Flore Tchouante, 2024. "Bayesian social aggregation with non-Archimedean utilities and probabilities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 77(3), pages 561-595, May.

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