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A Tale of Two Tails: An Alternative Characterization of Comparative Risk

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  • Landsberger, Michael
  • Meilijson, Isaac

Abstract

A characterization of comparative risk, parallel to but more restrictive than the Rothschild-Stiglitz (1970) characterization, is developed. As in Rothschild and Stiglitz, we develop a four-way characterization that consists of generating processes (a noise condition and generation by a sequence of special mean-preserving spreads), integral conditions, and preferences. The building blocks of this new order, Mean-preserving increases in risk about v, where v is any constant, are mean-preserving spreads whose centers have a nonempty intersection. If this intersection contains the mean of the distribution, the induced order, or mean-preserving increase in risk about the mean, conveys a particularly meaningful notion of an increase in risk as a buildup of the tails of the distribution. Copyright 1990 by Kluwer Academic Publishers

Suggested Citation

  • Landsberger, Michael & Meilijson, Isaac, 1990. "A Tale of Two Tails: An Alternative Characterization of Comparative Risk," Journal of Risk and Uncertainty, Springer, vol. 3(1), pages 65-82, March.
  • Handle: RePEc:kap:jrisku:v:3:y:1990:i:1:p:65-82
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    Cited by:

    1. Lindqvist, Erik & ÖStling, Robert, 2010. "Political Polarization and the Size of Government," American Political Science Review, Cambridge University Press, vol. 104(3), pages 543-565, August.
    2. Hau, Arthur, 2010. "Comparative statics of changes in risk on monotonically and partially responsive kinked payoffs," European Journal of Operational Research, Elsevier, vol. 201(1), pages 267-276, February.
    3. Luís Santos-Pinto, 2009. "Asymmetries in Information Processing in a Decision Theory Framework," Theory and Decision, Springer, vol. 66(4), pages 317-343, April.
    4. Gollier, Christian & Schlesinger, Harris, 2002. "Changes in risk and asset prices," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 747-760, May.
    5. Burton Hollifield & Alan Kraus, 2009. "Defining Bad News: Changes in Return Distributions That Decrease Risky Asset Demand," Management Science, INFORMS, vol. 55(7), pages 1227-1236, July.
    6. Marta_Cardin & Paola_Ferretti, 2004. "Some theory of bivariate risk attitude," Game Theory and Information 0411009, University Library of Munich, Germany.
    7. Patrick Moyes, 2007. "An extended Gini approach to inequality measurement," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 5(3), pages 279-303, December.
    8. Chuang, O-Chia & Kuan, Chung-Ming & Tzeng, Larry Y., 2017. "Testing for central dominance: Method and application," Journal of Econometrics, Elsevier, vol. 196(2), pages 368-378.
    9. Anil Gaba & Ajay Kalra, 1999. "Risk Behavior in Response to Quotas and Contests," Marketing Science, INFORMS, vol. 18(3), pages 417-434.

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