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New results on the relationship among risk aversion, prudence and temperance

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  • Menegatti, Mario

Abstract

This note studies the relationships between different aspects of agent’s preferences toward risk. We show that, under the assumptions of non-satiation and bounded marginal utility, prudence implies risk aversion (imprudence implies risk loving) and that temperance implies prudence (intemperance implies imprudence). The implications of these results for comparing risks in the cases of increase in risk, increase in downside risk and increase in outer risk are discussed.

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  • Menegatti, Mario, 2014. "New results on the relationship among risk aversion, prudence and temperance," European Journal of Operational Research, Elsevier, vol. 232(3), pages 613-617.
    • Handle: RePEc:eee:ejores:v:232:y:2014:i:3:p:613-617
    DOI: 10.1016/j.ejor.2013.08.003
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    Cited by:

    1. De Donno, Marzia & Menegatti, Mario, 2022. "On the relationship between comparisons of risk aversion of different orders," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    2. Jim Engle-Warnick & Diego Pulido & Marine de Montaignac, 2016. "A Comparison of Survey and Incentivized-Based Risk Attitude Elicitation," CIRANO Working Papers 2016s-40, CIRANO.
    3. Peter, Richard & Hofmann, Annette, 2024. "Precautionary risk-reduction and saving decisions: Two sides of the same coin?," Insurance: Mathematics and Economics, Elsevier, vol. 118(C), pages 175-194.
    4. Marzia Donno & Marco Magnani & Mario Menegatti, 2020. "Changes in multiplicative risks and optimal portfolio choice: new interpretations and results," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 251-267, June.
    5. Mario Menegatti, 2018. "Prudence and Different Kinds of Prevention," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 44(2), pages 273-285, April.
    6. 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.
    7. Christophe Courbage & Béatrice Rey, 2020. "On temperance and risk spreading," Theory and Decision, Springer, vol. 88(4), pages 527-539, May.
    8. Eeckhoudt, Louis & Fiori, Anna Maria & Rosazza Gianin, Emanuela, 2016. "Loss-averse preferences and portfolio choices: An extension," European Journal of Operational Research, Elsevier, vol. 249(1), pages 224-230.
    9. Marco M. Sorge, 2024. "Even imprudent risk lovers may engage in precautionary saving," Journal of Economics, Springer, vol. 143(1), pages 101-109, September.
    10. Crainich, David & Eeckhoudt, Louis & Menegatti, Mario, 2016. "Changing risks and optimal effort," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 97-106.
    11. 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.
    12. 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.
    13. Liudong Chen & Bolun Xu, 2024. "Prudent Price-Responsive Demands," Papers 2405.16356, arXiv.org.
    14. Marzia De Donno & Mario Menegatti, 2020. "Some conditions for the equivalence between risk aversion, prudence and temperance," Theory and Decision, Springer, vol. 89(1), pages 39-60, July.
    15. Menegatti, Mario, 2015. "New results on high-order risk changes," European Journal of Operational Research, Elsevier, vol. 243(2), pages 678-681.
    16. Claudio A. Bonilla & Marcos Vergara, 2021. "Risk aversion, downside risk aversion, and the transition to entrepreneurship," Theory and Decision, Springer, vol. 91(1), pages 123-133, July.
    17. Menegatti, Mario, 2023. "Variability in punishment, risk preferences and crime deterrence," International Review of Law and Economics, Elsevier, vol. 75(C).
    18. De Donno, Marzia & Menegatti, Mario, 2024. "Preferences on discounting under time risk," Journal of Mathematical Economics, Elsevier, vol. 113(C).
    19. Claudio A. Bonilla & Marcos Vergara & Richard Watt, 2019. "New Results on Entrepreneurship and Risk," Working Papers in Economics 19/20, University of Canterbury, Department of Economics and Finance.
    20. Mario Menegatti, 2016. "A note on portfolio selection and stochastic dominance," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 39(2), pages 327-331, November.
    21. Reichel, Lukas & Schmeiser, Hato & Schreiber, Florian, 2021. "Sometimes more, sometimes less: Prudence and the diversification of risky insurance coverage," European Journal of Operational Research, Elsevier, vol. 292(2), pages 770-783.
    22. Mario Menegatti, 2021. "Risk aversion in two-period rent-seeking games," Public Choice, Springer, vol. 188(1), pages 269-287, July.
    23. Claudio A. Bonilla & Marcos Vergara & Richard Watt, 2022. "Changes in risk and entrepreneurship," Risk Management, Palgrave Macmillan, vol. 24(4), pages 367-385, December.

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