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On existence and uniqueness of the principle of equivalent utility under Cumulative Prospect Theory

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  • Chudziak, J.

Abstract

We establish a necessary and sufficient condition for the existence and uniqueness of the principle of equivalent utility under Cumulative Prospect Theory.

Suggested Citation

  • Chudziak, J., 2018. "On existence and uniqueness of the principle of equivalent utility under Cumulative Prospect Theory," Insurance: Mathematics and Economics, Elsevier, vol. 79(C), pages 243-246.
    • Handle: RePEc:eee:insuma:v:79:y:2018:i:c:p:243-246
    DOI: 10.1016/j.insmatheco.2018.02.001
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    References listed on IDEAS

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    1. Tversky, Amos & Kahneman, Daniel, 1992. "Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
    2. Heilpern, S., 2003. "A rank-dependent generalization of zero utility principle," Insurance: Mathematics and Economics, Elsevier, vol. 33(1), pages 67-73, August.
    3. Kaluszka, Marek & Krzeszowiec, Michał, 2012. "Pricing insurance contracts under Cumulative Prospect Theory," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 159-166.
    4. Kaluszka, Marek & Krzeszowiec, Michał, 2013. "An Iterativity Condition For The Mean-Value Principle Under Cumulative Prospect Theory," ASTIN Bulletin, Cambridge University Press, vol. 43(1), pages 61-71, January.
    5. Kaluszka, Marek & Krzeszowiec, Michał, 2013. "On iterative premium calculation principles under Cumulative Prospect Theory," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 435-440.
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    Cited by:

    1. Chudziak, J., 2020. "On positive homogeneity and comonotonic additivity of the principle of equivalent utility under Cumulative Prospect Theory," Insurance: Mathematics and Economics, Elsevier, vol. 94(C), pages 154-159.

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