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On the substitution between saving and prevention

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  • Menegatti, Mario
  • Rebessi, Filippo

Abstract

This work makes a joint analysis of prevention and saving decisions. First we determine the optimal levels of the two variables and we analyze substitution between them. Second we provide some results about the effects on optimal saving and prevention of changes in exogenous present and future wealth and in possible future loss. Finally we introduce insurance into the model and we extend the separation result, derived in the literature which studies the substitution between insurance and saving, to the case where prevention is considered too.

Suggested Citation

  • Menegatti, Mario & Rebessi, Filippo, 2011. "On the substitution between saving and prevention," Mathematical Social Sciences, Elsevier, vol. 62(3), pages 176-182.
    • Handle: RePEc:eee:matsoc:v:62:y:2011:i:3:p:176-182
    DOI: 10.1016/j.mathsocsci.2011.09.002
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    1. Dionne, Georges & Eeckhoudt, Louis, 1984. "Insurance and saving: some further results," Insurance: Mathematics and Economics, Elsevier, vol. 3(2), pages 101-110, April.
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    8. Menegatti, Mario, 2001. "On the Conditions for Precautionary Saving," Journal of Economic Theory, Elsevier, vol. 98(1), pages 189-193, May.
    9. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    10. A. Sandmo, 1970. "The Effect of Uncertainty on Saving Decisions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 37(3), pages 353-360.
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    12. 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.
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    15. Hayne E. Leland, 1968. "Saving and Uncertainty: The Precautionary Demand for Saving," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 82(3), pages 465-473.
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    Cited by:

    1. Tobias Huber, 2022. "Comparative risk aversion in two periods: An application to self‐insurance and self‐protection," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 89(1), pages 97-130, March.
    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. Hofmann, Annette & Peter, Richard, 2012. "Self-insurance, self-protection, and increased risk aversion: An intertemporal reinvestigation," Working Papers on Risk and Insurance 26, University of Hamburg, Institute for Risk and Insurance.
    4. Heinzel Christoph & Richard Peter, 2021. "Precautionary motives with multiple instruments," Working Papers SMART 21-09, INRAE UMR SMART.
    5. Mario Menegatti, 2012. "New results on optimal prevention of risk averse agents," Economics Bulletin, AccessEcon, vol. 32(3), pages 2166-2173.
    6. 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.
    7. Thomas Mayrhofer & Hendrik Schmitz, 2020. "Prudence and prevention - Empirical evidence," Working Papers CIE 134, Paderborn University, CIE Center for International Economics.
    8. Hun Seog, S. & Hong, Jimin, 2022. "Market insurance and endogenous saving with multiple loss states," The North American Journal of Economics and Finance, Elsevier, vol. 61(C).
    9. Annette Hofmann & Richard Peter, 2016. "Self-Insurance, Self-Protection, and Saving: On Consumption Smoothing and Risk Management," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(3), pages 719-734, September.
    10. Mario Menegatti, 2018. "Prudence and Different Kinds of Prevention," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 44(2), pages 273-285, April.
    11. 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.
    12. Heinzel, Christoph & Peter, Richard, 2023. "Precaution with multiple instruments: The importance of substitution effects," Journal of Economic Behavior & Organization, Elsevier, vol. 207(C), pages 392-412.
    13. Mario Menegatti, 2014. "Optimal choice on prevention and cure: a new economic analysis," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 15(4), pages 363-372, May.
    14. Christoph Heinzel & Richard Peter, 2021. "Precautionary motives with multiple instruments [Motifs de précaution en cas de multiples instruments]," Working Papers hal-03484875, HAL.
    15. 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.
    16. Heinzel, Christoph & Peter, Richard, 2021. "Precautionary motives with multiple instruments," Working Papers 316521, Institut National de la recherche Agronomique (INRA), Departement Sciences Sociales, Agriculture et Alimentation, Espace et Environnement (SAE2).
    17. Richard Peter & Sebastian Soika & Petra Steinorth, 2016. "Health Insurance, Health Savings Accounts and Healthcare Utilization," Health Economics, John Wiley & Sons, Ltd., vol. 25(3), pages 357-371, March.
    18. Desu Liu & Mario Menegatti, 2019. "Optimal saving and health prevention," Journal of Economics, Springer, vol. 128(2), pages 177-191, October.
    19. Jimin Hong & Kyungsun Kim, 2021. "Self-insurance and saving under a two-argument utility framework," Journal of Economics, Springer, vol. 134(1), pages 73-94, September.
    20. Mario Menegatti, 2021. "Subsidizing risk prevention," Journal of Economics, Springer, vol. 134(2), pages 175-193, October.
    21. 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.
    22. Mario Menegatti, 2021. "Risk aversion in two-period rent-seeking games," Public Choice, Springer, vol. 188(1), pages 269-287, July.

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    More about this item

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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