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The evolution of risk attitudes with fertility thresholds

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  • Robson, Arthur
  • Samuelson, Larry

Abstract

We examine the evolutionary selection of attitudes toward aggregate risk in an age structured population. Aggregate shocks perturb the population's consumption possibilities. Consumption is converted to fertility via a technology that exhibits first increasing and then decreasing returns to scale, captured in the simplest case by a fertility threshold. We show that evolution will select preferences that exhibit arbitrarily high aversion to aggregate risks with even very small probabilities of sufficiently low outcomes. These findings complement the familiar result that evolution will select for greater aversion to aggregate than idiosyncratic risks by identifying circumstances under which the difference can be extreme.

Suggested Citation

  • Robson, Arthur & Samuelson, Larry, 2022. "The evolution of risk attitudes with fertility thresholds," Journal of Economic Theory, Elsevier, vol. 205(C).
  • Handle: RePEc:eee:jetheo:v:205:y:2022:i:c:s0022053122001429
    DOI: 10.1016/j.jet.2022.105552
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    References listed on IDEAS

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    1. Robson, Arthur J., 1996. "The Evolution of Attitudes to Risk: Lottery Tickets and Relative Wealth," Games and Economic Behavior, Elsevier, vol. 14(2), pages 190-207, June.
    2. Arthur J. Robson & Larry Samuelson, 2009. "The Evolution of Time Preference with Aggregate Uncertainty," American Economic Review, American Economic Association, vol. 99(5), pages 1925-1953, December.
    3. Paul Slovic & Baruch Fischhoff & Sarah Lichtenstein, 1982. "Why Study Risk Perception?," Risk Analysis, John Wiley & Sons, vol. 2(2), pages 83-93, June.
    4. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    5. Seierstad, Atle & Sydsaeter, Knut, 1977. "Sufficient Conditions in Optimal Control Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(2), pages 367-391, June.
    6. LaFrance, Jeffrey T. & Barney, L. Dwayne, 1991. "The envelope theorem in dynamic optimization," Journal of Economic Dynamics and Control, Elsevier, vol. 15(2), pages 355-385, April.
    7. Robatto, Roberto & Szentes, Balázs, 2017. "On the biological foundation of risk preferences," Journal of Economic Theory, Elsevier, vol. 172(C), pages 410-422.
    8. Clotfelter, Charles T & Cook, Philip J, 1990. "On the Economics of State Lotteries," Journal of Economic Perspectives, American Economic Association, vol. 4(4), pages 105-119, Fall.
    9. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56(4), pages 279-279.
    10. Robson, Arthur J., 1996. "A Biological Basis for Expected and Non-expected Utility," Journal of Economic Theory, Elsevier, vol. 68(2), pages 397-424, February.
    11. Arthur J. Robson & H. Allen Orr, 2021. "Evolved attitudes to risk and the demand for equity," Proceedings of the National Academy of Sciences, Proceedings of the National Academy of Sciences, vol. 118(26), pages 2015569118-, June.
    12. Robson, Arthur J. & Samuelson, Larry, 2019. "Evolved attitudes to idiosyncratic and aggregate risk in age-structured populations," Journal of Economic Theory, Elsevier, vol. 181(C), pages 44-81.
    13. Arthur J. Robson & Hillard S. Kaplan, 2003. "The Evolution of Human Life Expectancy and Intelligence in Hunter-Gatherer Economies," American Economic Review, American Economic Association, vol. 93(1), pages 150-169, March.
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    More about this item

    Keywords

    Evolution; Risk aversion; Aggregate risk; Age structured population;
    All these keywords.

    JEL classification:

    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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