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A Robust Approach to Risk Aversion

  • Antoine Bommier

    ()

  • Francois Le Grand

We investigate whether the set of Kreps and Porteus (1978) preferences include classes of preferences that are stationary, monotonic and well-ordered in terms of risk aversion. We prove that the class of preferences introduced by Hansen and Sargent (1995) in their robustness analysis is the only one that fulfills these properties. The paper therefore suggests a shift from the traditional approach to studying the role of risk aversion in recursive problems. We also provide applications, in which we discuss the impact of risk aversion on asset pricing and risk sharing.

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Paper provided by ETH Zurich, Chair of Systems Design in its series Working Papers with number ETH-RC-13-002.

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Handle: RePEc:stz:wpaper:eth-rc-13-002
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  1. Bommier, Antoine & Chassagnon, Arnold & Le Grand, François, 2010. "Comparative Risk Aversion: A Formal Approach with Applications to Savings Behaviors," TSE Working Papers 10-141, Toulouse School of Economics (TSE).
  2. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
  3. Yaari, Menahem E., 1969. "Some remarks on measures of risk aversion and on their uses," Journal of Economic Theory, Elsevier, vol. 1(3), pages 315-329, October.
  4. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
  5. Kristof Bosmans, 2006. "Comparing degrees of inequality aversion," Public Economics Working Paper Series ineqav, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  6. Jessica A. Wachter & Motohiro Yogo, 2010. "Why Do Household Portfolio Shares Rise in Wealth?," Review of Financial Studies, Society for Financial Studies, vol. 23(11), pages 3929-3965, November.
  7. Thomas Tallarini, . "Risk-Sensitive Real Business Cycles," GSIA Working Papers 1997-35, Carnegie Mellon University, Tepper School of Business.
  8. Grant, Simon & Quiggin, John, 2005. "Increasing uncertainty: a definition," Mathematical Social Sciences, Elsevier, vol. 49(2), pages 117-141, March.
  9. Ana Cecília Fieler, 2011. "Nonhomotheticity and Bilateral Trade: Evidence and a Quantitative Explanation," Econometrica, Econometric Society, vol. 79(4), pages 1069-1101, 07.
  10. Alain Chateauneuf & Michèle Cohen & Isaac Meilijson, 2004. "Four notions of mean preserving increase in risk, risk attitudes and applications to the Rank-Dependent Expected Utility model," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00212281, HAL.
  11. Chew, Soo Hong & Epstein, Larry G., 1990. "Nonexpected utility preferences in a temporal framework with an application to consumption-savings behaviour," Journal of Economic Theory, Elsevier, vol. 50(1), pages 54-81, February.
  12. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
  13. repec:hal:journl:halshs-00212281 is not listed on IDEAS
  14. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
  15. Lars Peter Hansen & Ravi Jagannathan, 1990. "Implications of Security Market Data for Models of Dynamic Economies," NBER Technical Working Papers 0089, National Bureau of Economic Research, Inc.
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