# Comparing risks with unbounded distributions

## Author Info

• Muller, Alfred

## Abstract

We extend the characterizations of increasing risks developed by Rothschild and Stiglitz (1970) to the case of unbounded probability distributions. We also consider the related notion of increasing risk about $\nu$ introduced by Landsberger and Meilijson (1990). Moreover, for some of the results we give new and more elegant proofs.

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## Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 30 (1998)
Issue (Month): 2 (September)
Pages: 229-239

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Handle: RePEc:eee:mateco:v:30:y:1998:i:2:p:229-239

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Web page: http://www.elsevier.com/locate/jmateco

## Related research

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## References

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1. Kroll, Yoram & Leshno, Moshe & Levy, Haim & Spector, Yishay, 1995. "Increasing risk, decreasing absolute risk aversion and diversification," Journal of Mathematical Economics, Elsevier, Elsevier, vol. 24(6), pages 537-556.
2. Diamond, Peter A. & Stiglitz, Joseph E., 1974. "Increases in risk and in risk aversion," Journal of Economic Theory, Elsevier, Elsevier, vol. 8(3), pages 337-360, July.
3. Michael Landsberger & Isaac Meilijson, 1994. "The Generating Process and an Extension of Jewitt's Location Independent Risk Concept," Management Science, INFORMS, INFORMS, vol. 40(5), pages 662-669, May.
4. Landsberger, Michael & Meilijson, Isaac, 1990. "Lotteries, insurance, and star-shaped utility functions," Journal of Economic Theory, Elsevier, Elsevier, vol. 52(1), pages 1-17, October.
5. Muller, Alfred, 1996. "Orderings of risks: A comparative study via stop-loss transforms," Insurance: Mathematics and Economics, Elsevier, vol. 17(3), pages 215-222, April.
6. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, Elsevier, vol. 3(1), pages 66-84, March.
7. Rothschild, Michael & Stiglitz, Joseph E., 1970. "Increasing risk: I. A definition," Journal of Economic Theory, Elsevier, Elsevier, vol. 2(3), pages 225-243, September.
8. Ian Jewitt, 1989. "Choosing Between Risky Prospects: The Characterization of Comparative Statics Results, and Location Independent Risk," Management Science, INFORMS, INFORMS, vol. 35(1), pages 60-70, January.
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## Citations

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Cited by:
1. Morone, Andrea & Ozdemir, Ozlem, 2012. "Black swan protection: an experimental investigation," MPRA Paper 38842, University Library of Munich, Germany.
2. Hu, Taizhong & Chen, Jing & Yao, Junchao, 2006. "Preservation of the location independent risk order under convolution," Insurance: Mathematics and Economics, Elsevier, vol. 38(2), pages 406-412, April.
3. Mao, Tiantian & Hu, Taizhong, 2012. "Characterization of left-monotone risk aversion in the RDEU model," Insurance: Mathematics and Economics, Elsevier, vol. 50(3), pages 413-422.
4. Muller, Alfred, 1998. "Another Tale of Two Tails: On Characterizations of Comparative Risk," Journal of Risk and Uncertainty, Springer, Springer, vol. 16(2), pages 187-97, May-June.

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