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Repetitive risk aversion

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  • Parkash Chander

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Abstract

This paper introduces and investigates the concept of repetitive risk aversion. The risk aversion of an increasing and concave utility function is repetitive if the fear of ruin, which measures agent's aversion to risking his entire income, is also increasing and concave. This is shown to be equivalent to the behaviorally meaningful condition that the risk premium is increasing at a non-increasing rate with the size of the bet. We find an additional justification for mixed risk aversion, which is known to be stronger than standard (and thus proper) risk aversion, in terms of this concept. We discuss several economic applications of repetitive risk aversion.

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Bibliographic Info

Article provided by Springer in its journal Economic Theory.

Volume (Year): 29 (2006)
Issue (Month): 3 (November)
Pages: 701-711

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Handle: RePEc:spr:joecth:v:29:y:2006:i:3:p:701-711

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Related research

Keywords: Expected utility; Risk aversion; Risk premium; Completely monotone functions; D80; D81;

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  1. Pratt, John W & Zeckhauser, Richard J, 1987. "Proper Risk Aversion," Econometrica, Econometric Society, vol. 55(1), pages 143-54, January.
  2. DREZE, Jacques H. & MODIGLIANI, Franco, . "Cosumption decisions under uncertainty," CORE Discussion Papers RP -119, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Gerard Debreu & Tjalling C. Koopmans, 1980. "Additively Decomposed Quasiconvex Functions," Cowles Foundation Discussion Papers 574, Cowles Foundation for Research in Economics, Yale University.
  4. Miles S. Kimball, 1991. "Standard Risk Aversion," NBER Technical Working Papers 0099, National Bureau of Economic Research, Inc.
  5. Chander, Parkash & Wilde, Louis L, 1998. "A General Characterization of Optimal Income Tax Enforcement," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 165-83, January.
  6. Sinclair-Desgagne, Bernard & Gabel, H. Landis, 1997. "Environmental Auditing in Management Systems and Public Policy," Journal of Environmental Economics and Management, Elsevier, vol. 33(3), pages 331-346, July.
  7. Burgos, Albert & Grant, Simon & Kajii, Atsushi, 2002. "Bargaining and Boldness," Games and Economic Behavior, Elsevier, vol. 38(1), pages 28-51, January.
  8. Alesina, Alberto F & Tabellini, Guido, 1988. "Voting on the Budget Deficit," CEPR Discussion Papers 269, C.E.P.R. Discussion Papers.
  9. Gollier, Christian & Pratt, John W, 1996. "Risk Vulnerability and the Tempering Effect of Background Risk," Econometrica, Econometric Society, vol. 64(5), pages 1109-23, September.
  10. repec:fth:louvco:0041 is not listed on IDEAS
  11. Aumann, Robert J & Kurz, Mordecai, 1977. "Power and Taxes," Econometrica, Econometric Society, vol. 45(5), pages 1137-61, July.
  12. CHANDER, Parkash, 2000. "A simple measure of risk aversion in the large and an application," CORE Discussion Papers 2000041, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  13. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
  14. Caballé, Jordi & Pomansky, Alexey, 1995. "Mixed Risk Aversion," Working Paper Series 444, Research Institute of Industrial Economics.
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