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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. Gollier, Christian & Schlesinger, Harris, 2002. "Changes in risk and asset prices," Journal of Monetary Economics, Elsevier, vol. 49(4), pages 747-760, May.
    4. Muller, Alfred, 1998. "Comparing risks with unbounded distributions," Journal of Mathematical Economics, Elsevier, vol. 30(2), pages 229-239, September.
    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. Gollier, Christian & Schlesinger, Harris, 1996. "Portfolio choice under noisy asset returns," Economics Letters, Elsevier, vol. 53(1), pages 47-51, October.
    8. Luís Santos-Pinto, 2009. "Asymmetries in Information Processing in a Decision Theory Framework," Theory and Decision, Springer, vol. 66(4), pages 317-343, April.
    9. Erio Castagnoli & Giacomo Cattelan & Fabio Maccheroni & Claudio Tebaldi & Ruodu Wang, 2021. "Star-shaped Risk Measures," Papers 2103.15790, arXiv.org, revised Apr 2022.
    10. 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.
    11. 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.
    12. 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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