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Stronger measures of higher-order risk attitudes

  • Denuit, Michel M.
  • Eeckhoudt, Louis

This paper aims to extend the results by Ross (1981) [15] and by Modica and Scarsini (2005) [13] to stochastic dominance of degree 4 and over. Specifically, it is shown that Ross' approach can be extended to any order of risk attitude beyond the generalization proposed by Modica and Scarsini by means of sth degree increase in risk defined by Ekern (1980) [8].

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File URL: http://www.sciencedirect.com/science/article/B6WJ3-4YPPR8W-3/2/bb8bda49a85d4a89bff4727f6a957e21
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 145 (2010)
Issue (Month): 5 (September)
Pages: 2027-2036

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Handle: RePEc:eee:jetheo:v:145:y:2010:i:5:p:2027-2036
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
  2. Ekern, Steinar, 1980. "Increasing Nth degree risk," Economics Letters, Elsevier, vol. 6(4), pages 329-333.
  3. EECKHOUDT, Louis & SCHLESINGER, Harris, . "Putting risk in its proper place," CORE Discussion Papers RP -1871, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. EECKHOUDT, Louis & SCHELSINGER, Harris & TSETLIN, Ilia, . "Apportioning of risks via stochastic dominance," CORE Discussion Papers RP -2096, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  5. Michel Denuit & Claude Lefèvre & Marco Scarsini, 2001. "On S-Convexity and Risk Aversion," Theory and Decision, Springer, vol. 50(3), pages 239-248, May.
  6. Modica, Salvatore & Scarsini, Marco, 2005. "A note on comparative downside risk aversion," Journal of Economic Theory, Elsevier, vol. 122(2), pages 267-271, June.
  7. Menezes, C & Geiss, C & Tressler, J, 1980. "Increasing Downside Risk," American Economic Review, American Economic Association, vol. 70(5), pages 921-32, December.
  8. Caballé, Jordi & Pomansky, Alexey, 1995. "Mixed Risk Aversion," Working Paper Series 444, Research Institute of Industrial Economics.
  9. Jindapon, Paan & Neilson, William S., 2007. "Higher-order generalizations of Arrow-Pratt and Ross risk aversion: A comparative statics approach," Journal of Economic Theory, Elsevier, vol. 136(1), pages 719-728, September.
  10. Li, Jingyuan, 2009. "Comparative higher-degree Ross risk aversion," Insurance: Mathematics and Economics, Elsevier, vol. 45(3), pages 333-336, December.
  11. Denuit, Michel & Vylder, Etienne De & Lefevre, Claude, 1999. "Extremal generators and extremal distributions for the continuous s-convex stochastic orderings," Insurance: Mathematics and Economics, Elsevier, vol. 24(3), pages 201-217, May.
  12. Ross, Stephen A, 1981. "Some Stronger Measures of Risk Aversion in the Small and the Large with Applications," Econometrica, Econometric Society, vol. 49(3), pages 621-38, May.
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