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A note on changes in additive risky benefits and risky costs
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A note on changes in additive risky benefits and risky costs

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  • Mario Menegatti

Abstract

We introduce a distinction between additive risky benefits and additive risky costs, showing that it is relevant in determining decision maker choices in the presence of changes in risk. Results obtained show the specific role of the order of risk change when facing the two types of risk. Similarities and differences with the case of multiplicative risks are discussed. Moreover, the analysis is performed in two models studying respectively saving and self‐protection and provides new applied results for both, some with reference to background risks.

Suggested Citation

  • Mario Menegatti, 2023. "A note on changes in additive risky benefits and risky costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 19(3), pages 753-763, September.
  • Handle: RePEc:bla:ijethy:v:19:y:2023:i:3:p:753-763
    DOI: 10.1111/ijet.12367
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    References listed on IDEAS

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    1. Menezes, Carmen F. & Wang, X.Henry, 2005. "Increasing outer risk," Journal of Mathematical Economics, Elsevier, vol. 41(7), pages 875-886, November.
    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. Eeckhoudt, Louis & Schlesinger, Harris, 2008. "Changes in risk and the demand for saving," Journal of Monetary Economics, Elsevier, vol. 55(7), pages 1329-1336, October.
    4. 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.
    5. 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.
    6. Cary Deck & Harris Schlesinger, 2014. "Consistency of Higher Order Risk Preferences," Econometrica, Econometric Society, vol. 82, pages 1913-1943, September.
    7. Louis Eeckhoudt & Harris Schlesinger, 2006. "Putting Risk in Its Proper Place," American Economic Review, American Economic Association, vol. 96(1), pages 280-289, March.
    8. 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.
    9. Mario Menegatti & Richard Peter, 2022. "Changes in Risky Benefits and in Risky Costs: A Question of the Right Order," Management Science, INFORMS, vol. 68(5), pages 3625-3634, May.
    10. 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.
    11. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-932, December.
    12. Han Bleichrodt & Paul van Bruggen, 2022. "The Reflection Effect for Higher-Order Risk Preferences," The Review of Economics and Statistics, MIT Press, vol. 104(4), pages 705-717, October.
    13. David Crainich & Louis Eeckhoudt & Alain Trannoy, 2013. "Even (Mixed) Risk Lovers Are Prudent," American Economic Review, American Economic Association, vol. 103(4), pages 1529-1535, June.
    14. Crainich, David & Eeckhoudt, Louis & Menegatti, Mario, 2016. "Changing risks and optimal effort," Journal of Economic Behavior & Organization, Elsevier, vol. 125(C), pages 97-106.
    15. Jianli Wang & Jingyuan Li, 2015. "Precautionary Effort: Another Trait for Prudence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 82(4), pages 977-983, December.
    16. 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.
    17. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
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