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Preserving preference rankings under non-financial background risk

Author

Listed:
  • Yannick Malevergne

    (COACTIS - COnception de l'ACTIon en Situation - UL2 - Université Lumière - Lyon 2 - UJM - Université Jean Monnet - Saint-Étienne)

  • Béatrice Rey

    (SAF - Laboratoire de Sciences Actuarielle et Financière - UCBL - Université Claude Bernard Lyon 1 - Université de Lyon)

Abstract

We investigate the impact of a non-financial background risk ˜" on the preference rankings between two independent financial risks ˜z1 and ˜z2 for an expected-utility maximizer. More precisely, we provide necessary and sufficient conditions for the alternative (x0 + ˜z1, y0 + ˜") to be preferred to (x0 + ˜z2, y0 + ˜") whenever (x0 + ˜z1, y0) is preferred to (x0 + ˜z2, y0). Utility functions that preserve the preference rankings are fully characterized. Their practical relevance is discussed in light of recent results on the constraints for the modeling of the preference for the disaggregation of harms.

Suggested Citation

  • Yannick Malevergne & Béatrice Rey, 2010. "Preserving preference rankings under non-financial background risk," Post-Print halshs-00520072, HAL.
    • Handle: RePEc:hal:journl:halshs-00520072
    DOI: 10.1057/jors.2009.95
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00520072
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    References listed on IDEAS

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    Cited by:

    1. Loubergé, Henri & Malevergne, Yannick & Rey, Béatrice, 2020. "New Results for additive and multiplicative risk apportionment," Journal of Mathematical Economics, Elsevier, vol. 90(C), pages 140-151.
    2. Jiang, Chonghui & Ma, Yongkai & An, Yunbi, 2013. "International portfolio selection with exchange rate risk: A behavioural portfolio theory perspective," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 648-659.
    3. Gebhard Geiger, 2020. "Conditional non-expected utility preferences induced by mixture of lotteries: a note on the normative invalidity of expected utility theory," Annals of Operations Research, Springer, vol. 289(2), pages 431-448, June.

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    Keywords

    Multivariate risk; Background risk; Disaggregation of harms; Risk independence;
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