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Deterministic Transformations of Random Variables and the Comparative Statics of Risk

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  • Meyer, Jack
  • Ormiston, Michael B

Abstract

In this article, a general class of deterministic transformations that can be interpreted as changes in risk are identified. This provides a fourth characterization of a Rothschild-Stiglitz increase in risk. In addition, a particular subclass of these transformations, termed simple transformation, is shown to be well suited for comparative static analyses. This subclass contains as a special case the linear transformation used so often in the literature. A theorem is presented that generalizes the known comparative static results for large as well as small changes in risk. Copyright 1989 by Kluwer Academic Publishers

Suggested Citation

  • Meyer, Jack & Ormiston, Michael B, 1989. "Deterministic Transformations of Random Variables and the Comparative Statics of Risk," Journal of Risk and Uncertainty, Springer, vol. 2(2), pages 179-188, June.
    • Handle: RePEc:kap:jrisku:v:2:y:1989:i:2:p:179-88
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    Cited by:

    1. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    2. Hennessy, David A. & Roosen, Jutta, 1999. "Stochastic Pollution, Permits, and Merger Incentives," Journal of Environmental Economics and Management, Elsevier, vol. 37(3), pages 211-232, May.
    3. Lichtenberg, Erik, 2002. "Agriculture and the environment," Handbook of Agricultural Economics, in: B. L. Gardner & G. C. Rausser (ed.), Handbook of Agricultural Economics, edition 1, volume 2, chapter 23, pages 1249-1313, Elsevier.
    4. Eeckhoudt, Louis, 2001. "Espérance d’utilité et nouveaux modèles de choix dans le risque : une connivence cachée," L'Actualité Economique, Société Canadienne de Science Economique, vol. 77(4), pages 499-516, décembre.
    5. Machnes, Yaffa, 1995. "Deductible insurance and production," Insurance: Mathematics and Economics, Elsevier, vol. 17(2), pages 119-123, October.
    6. John Quiggin & Robert G. Chambers, 2004. "Drought policy: a graphical analysis," Australian Journal of Agricultural and Resource Economics, Australian Agricultural and Resource Economics Society, vol. 48(2), pages 225-251, June.
    7. Susan Athey, 2002. "Monotone Comparative Statics under Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(1), pages 187-223.
    8. Giovanni Maggi & Gene M. Grossman, 2000. "Diversity and Trade," American Economic Review, American Economic Association, vol. 90(5), pages 1255-1275, December.
    9. Donald C., Rudow, 2005. "Preferences and Increased Risk Aversion under a General Framework of Stochastic Dominance," MPRA Paper 41191, University Library of Munich, Germany, revised 07 Jun 2005.
    10. repec:ebl:ecbull:v:7:y:2005:i:7:p:1-7 is not listed on IDEAS
    11. Iltae Kim, 2003. "On the Theory of the Price‐ and Quality‐Setting Firm with Uncertain Demand," Manchester School, University of Manchester, vol. 71(6), pages 626-640, December.
    12. He, Junnan & Tang, Qihe & Zhang, Huan, 2016. "Risk reducers in convex order," Insurance: Mathematics and Economics, Elsevier, vol. 70(C), pages 80-88.
    13. Ingmar Schumacher & Eric Strobl, 2008. "Economic development and losses due to natural disasters: the role of risk," Working Papers hal-00356286, HAL.
    14. Hennessy, David A., 1997. "Stochastic technologies and the adoption decision," Journal of Development Economics, Elsevier, vol. 54(2), pages 437-453, December.
    15. Jean Fernand Nguema, 2005. "Stochastic dominance on optimal portfolio with one risk-less and two risky assets," Economics Bulletin, AccessEcon, vol. 7(7), pages 1-7.

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