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Risk taking with background risk under recursive rank-dependent utility

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  • Freeman, David

Abstract

This paper examines how background risk affects risk taking under rank-dependent utility. I assume that a decision-maker facing a risk taking decision in the presence of background risk views these risks as composing a compound lottery, and recursively evaluates this compound lottery using rank-dependent utility. I show that adding background risk increases risk aversion whenever the utility-for-wealth function is risk vulnerable (Gollier and Pratt, 1996) in this model.

Suggested Citation

  • Freeman, David, 2017. "Risk taking with background risk under recursive rank-dependent utility," Mathematical Social Sciences, Elsevier, vol. 87(C), pages 72-74.
    • Handle: RePEc:eee:matsoc:v:87:y:2017:i:c:p:72-74
    DOI: 10.1016/j.mathsocsci.2017.03.003
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    References listed on IDEAS

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    1. Segal, Uzi, 1990. "Two-Stage Lotteries without the Reduction Axiom," Econometrica, Econometric Society, vol. 58(2), pages 349-377, March.
    2. Zvi Safra & Uzi Segal, 2008. "Calibration Results for Non-Expected Utility Theories," Econometrica, Econometric Society, vol. 76(5), pages 1143-1166, September.
    3. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
    4. Freeman, David, 2015. "Calibration without reduction for non-expected utility," Journal of Economic Theory, Elsevier, vol. 158(PA), pages 21-32.
    5. Luigi Guiso & Monica Paiella, 2008. "Risk Aversion, Wealth, and Background Risk," Journal of the European Economic Association, MIT Press, vol. 6(6), pages 1109-1150, December.
    6. Guiso, Luigi & Jappelli, Tullio & Terlizzese, Daniele, 1996. "Income Risk, Borrowing Constraints, and Portfolio Choice," American Economic Review, American Economic Association, vol. 86(1), pages 158-172, March.
    7. Hong, Chew Soo & Karni, Edi & Safra, Zvi, 1987. "Risk aversion in the theory of expected utility with rank dependent probabilities," Journal of Economic Theory, Elsevier, vol. 42(2), pages 370-381, August.
    8. Quiggin, John, 1982. "A theory of anticipated utility," Journal of Economic Behavior & Organization, Elsevier, vol. 3(4), pages 323-343, December.
    9. Eeckhoudt, Louis & Gollier, Christian & Schlesinger, Harris, 1996. "Changes in Background Risk and Risk-Taking Behavior," Econometrica, Econometric Society, vol. 64(3), pages 683-689, May.
    10. John Quiggin, 2003. "Background risk in generalized expected utility theory," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(3), pages 607-611, October.
    11. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-1123, September.
    12. Mickael Beaud & Marc Willinger, 2015. "Are People Risk Vulnerable?," Management Science, INFORMS, vol. 61(3), pages 624-636, March.
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    Cited by:

    1. Strobl, Renate, 2022. "Background risk, insurance and investment behaviour: Experimental evidence from Kenya," Journal of Economic Behavior & Organization, Elsevier, vol. 202(C), pages 34-68.

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