IDEAS home Printed from https://ideas.repec.org/a/bpj/jossai/v7y2019i4p344-358n4.html
   My bibliography  Save this article

Precautionary Effort Investment under Cross Risk Aversion

Author

Listed:
  • Tao Yuqing

    (Department of Teacher Education, Maanshan Teacher’s College, Ma’anshan, 243041, China)

  • Mei Jie

    (Class 6, Grade 1, No. 1 Middle School, Affiliated to Central China Normal University, Wuhan, China)

  • Cheng Wen

    (Department of Risk Management, China Huarong Asset Management Co., Ltd, Beijing, 100033, China)

  • Zou Sijie

    (Department of Finance, Shandong Branch, China Three Gorges New Energy Co., Ltd, Jinan, 277000, China)

Abstract

This paper deals with the effort problem under multiple risks in bivariate utility setting. We identify preference conditions to insure positive or negative effect of a background variable uncertainty on effort in the presence of other risks. We allow for the simultaneous presence of wealth and background variable uncertainties. We investigate the joint effect of two-source uncertainties on effort when two risks are either small or positive quadrant dependent. Our work extends the previous model of effort to bivariate utility framework and presents new insights into the issue of optimal effort under uncertainty.

Suggested Citation

  • Tao Yuqing & Mei Jie & Cheng Wen & Zou Sijie, 2019. "Precautionary Effort Investment under Cross Risk Aversion," Journal of Systems Science and Information, De Gruyter, vol. 7(4), pages 344-358, August.
    • Handle: RePEc:bpj:jossai:v:7:y:2019:i:4:p:344-358:n:4
    DOI: 10.21078/JSSI-2019-344-15
    as

    Download full text from publisher

    File URL: https://doi.org/10.21078/JSSI-2019-344-15
    Download Restriction: no
    File URL: https://libkey.io/10.21078/JSSI-2019-344-15?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    2. Courbage, Christophe & Rey, Béatrice, 2012. "Optimal prevention and other risks in a two-period model," Mathematical Social Sciences, Elsevier, vol. 63(3), pages 213-217.
    3. Menegatti, Mario, 2009. "Optimal prevention and prudence in a two-period model," Mathematical Social Sciences, Elsevier, vol. 58(3), pages 393-397, November.
    4. Denuit, M. & Eeckhoudt L., 2010. "A general index of absolute risk attitude," LIDAM Discussion Papers ISBA 2010013, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    5. Christophe Courbage & Béatrice Rey, 2007. "Precautionary saving in the presence of other risks," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(2), pages 417-424, August.
    6. Michel Denuit & Louis Eeckhoudt & Mario Menegatti, 2011. "Correlated risks, bivariate utility and optimal choices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 39-54, January.
    7. Michel Denuit & Béatrice Rey, 2014. "Benchmark values for higher order coefficients of relative risk aversion," Post-Print halshs-03353452, HAL.
    8. Louis Eeckhoudt & Béatrice Rey & Harris Schlesinger, 2007. "A Good Sign for Multivariate Risk Taking," Management Science, INFORMS, vol. 53(1), pages 117-124, January.
    9. Michel Denuit & Béatrice Rey, 2014. "Benchmark values for higher order coefficients of relative risk aversion," Theory and Decision, Springer, vol. 76(1), pages 81-94, January.
    10. Louis Eeckhoudt & Rachel J. Huang & Larry Y. Tzeng, 2012. "Precautionary Effort: A New Look," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 79(2), pages 585-590, June.
    11. Christophe Courbage & Béatrice Rey, 2007. "Precautionary saving in the presence of other risks," Post-Print halshs-03353387, HAL.
    12. W. Chiu & Louis Eeckhoudt & Beatrice Rey, 2012. "On relative and partial risk attitudes: theory and implications," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 50(1), pages 151-167, May.
    13. W. Henry Chiu, 2005. "Skewness Preference, Risk Aversion, and the Precedence Relations on Stochastic Changes," Management Science, INFORMS, vol. 51(12), pages 1816-1828, December.
    14. Dionne, Georges & Eeckhoudt, Louis, 1985. "Self-insurance, self-protection and increased risk aversion," Economics Letters, Elsevier, vol. 17(1-2), pages 39-42.
    15. Chuang, O-Chia & Eeckhoudt, Louis & Huang, Rachel J. & Tzeng, Larry Y., 2013. "Risky targets and effort," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 465-468.
    16. Christophe Courbage & Béatrice Rey, 2010. "On Non-Monetary Measures In The Face Of Risks And The Signs Of The Derivatives," Post-Print halshs-03353474, HAL.
    17. Eeckhoudt, Louis & Etner, Johanna & Schroyen, Fred, 2009. "The values of relative risk aversion and prudence: A context-free interpretation," Mathematical Social Sciences, Elsevier, vol. 58(1), pages 1-7, July.
    18. Wang, Jianli & Li, Jingyuan, 2010. "Multiplicative risk apportionment," Mathematical Social Sciences, Elsevier, vol. 60(1), pages 79-81, July.
    19. Ehrlich, Isaac & Becker, Gary S, 1972. "Market Insurance, Self-Insurance, and Self-Protection," Journal of Political Economy, University of Chicago Press, vol. 80(4), pages 623-648, July-Aug..
    20. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
    21. Michel M. Denuit & Louis Eeckhoudt, 2010. "A General Index of Absolute Risk Attitude," Management Science, INFORMS, vol. 56(4), pages 712-715, April.
    22. Pratt, John W, 1988. "Aversion to One Risk in the Presence of Others," Journal of Risk and Uncertainty, Springer, vol. 1(4), pages 395-413, December.
    23. Dionne, Georges & Li, Jingyuan, 2011. "The impact of prudence on optimal prevention revisited," Economics Letters, Elsevier, vol. 113(2), pages 147-149.
    24. Chiu, W.Henry, 2005. "Degree of downside risk aversion and self-protection," Insurance: Mathematics and Economics, Elsevier, vol. 36(1), pages 93-101, February.
    25. Lee, Kangoh, 2012. "Background risk and self-protection," Economics Letters, Elsevier, vol. 114(3), pages 262-264.
    26. Denuit, Michel & Rey, Beatrice, 2014. "Benchmark values for higher order coefficients of relative risk aversion," LIDAM Reprints ISBA 2014001, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    27. Louis Eeckhoudt & Christian Gollier, 2005. "The impact of prudence on optimal prevention," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 989-994, November.
    28. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, vol. 2(3), pages 225-243, September.
    29. Denuit, M. & Eeckhoudt, L., 2010. "A General Index of Absolute Risk Attitude," LIDAM Reprints ISBA 2010026, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    30. Finkelshtain, Israel & Kella, Offer & Scarsini, Marco, 1999. "On risk aversion with two risks," Journal of Mathematical Economics, Elsevier, vol. 31(2), pages 239-250, March.
    31. Brianti, Marco & Magnani, Marco & Menegatti, Mario, 2018. "Optimal choice of prevention and cure under uncertainty on disease effect and cure effectiveness," Research in Economics, Elsevier, vol. 72(2), pages 327-342.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Xue, Minggao & Cheng, Wen, 2013. "Background risk, bivariate risk attitudes, and optimal prevention," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 390-395.
    2. Peter, Richard, 2017. "Optimal self-protection in two periods: On the role of endogenous saving," Journal of Economic Behavior & Organization, Elsevier, vol. 137(C), pages 19-36.
    3. Donatella Baiardi & Marco Magnani & Mario Menegatti, 2020. "The theory of precautionary saving: an overview of recent developments," Review of Economics of the Household, Springer, vol. 18(2), pages 513-542, June.
    4. Chuang, O-Chia & Eeckhoudt, Louis & Huang, Rachel J. & Tzeng, Larry Y., 2013. "Risky targets and effort," Insurance: Mathematics and Economics, Elsevier, vol. 52(3), pages 465-468.
    5. Wang, Jianli & Wang, Hongxia & Yick, Ho Yin, 2019. "How do changes in risk and risk aversion affect self-protection with Selden/Kreps–Porteus preferences?," Insurance: Mathematics and Economics, Elsevier, vol. 88(C), pages 1-6.
    6. Dionne, Georges & Li, Jingyuan, 2011. "The impact of prudence on optimal prevention revisited," Economics Letters, Elsevier, vol. 113(2), pages 147-149.
    7. Tao Yuqing & Cheng Wen & Zou Sijie, 2018. "Priority Setting in Health Care with Disease and Treatment Risks," Journal of Systems Science and Information, De Gruyter, vol. 6(6), pages 552-562, December.
    8. Christophe Courbage & Richard Peter & Béatrice Rey, 2022. "Incentive and welfare effects of correlated returns," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 5-34, March.
    9. Christian Gollier & James Hammitt & Nicolas Treich, 2013. "Risk and choice: A research saga," Journal of Risk and Uncertainty, Springer, vol. 47(2), pages 129-145, October.
    10. Wong, Kit Pong, 2022. "Diversification and risk attitudes toward two risks," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    11. Richard Peter, 2021. "Who should exert more effort? Risk aversion, downside risk aversion and optimal prevention," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1259-1281, June.
    12. Donatella Baiardi & Marco Magnani & Mario Menegatti, 2014. "Precautionary saving under many risks," Journal of Economics, Springer, vol. 113(3), pages 211-228, November.
    13. Richard Peter, 2024. "The economics of self-protection," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 49(1), pages 6-35, March.
    14. Wang, Hongxia & Wang, Jianli & Li, Jingyuan & Xia, Xinping, 2015. "Precautionary paying for stochastic improvements under background risks," Insurance: Mathematics and Economics, Elsevier, vol. 64(C), pages 180-185.
    15. Christophe Courbage & Henri Loubergé & Richard Peter, 2017. "Optimal Prevention for Multiple Risks," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(3), pages 899-922, September.
    16. Liqun Liu & Nicolas Treich, 2021. "Optimality of winner-take-all contests: the role of attitudes toward risk," Journal of Risk and Uncertainty, Springer, vol. 63(1), pages 1-25, August.
    17. Donatella Baiardi & Mario Menegatti, 2011. "Pigouvian tax, abatement policies and uncertainty on the environment," Journal of Economics, Springer, vol. 103(3), pages 221-251, July.
    18. Georges Dionne & Jingyuan Li, 2012. "Comparative Ross Risk Aversion in the Presence of Quadrant Dependent Risks," Cahiers de recherche 1226, CIRPEE.
    19. Liu, Liqun & Meyer, Jack, 2013. "Substituting one risk increase for another: A method for measuring risk aversion," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2706-2718.
    20. Courbage, Christophe & Rey, Béatrice & Treich, Nicolas, 2013. "Prevention and precaution," TSE Working Papers 13-445, Toulouse School of Economics (TSE).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bpj:jossai:v:7:y:2019:i:4:p:344-358:n:4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.