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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. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June.
  2. Jessica A. Wachter & Motohiro Yogo, 2010. "Why Do Household Portfolio Shares Rise in Wealth?," NBER Working Papers 16316, National Bureau of Economic Research, Inc.
  3. 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.
  4. Kristof Bosmans, 2007. "Comparing degrees of inequality aversion," Social Choice and Welfare, Springer, vol. 29(3), pages 405-428, October.
  5. Hansen, Lars Peter & Jagannathan, Ravi, 1991. "Implications of Security Market Data for Models of Dynamic Economies," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 225-62, April.
  6. Chateauneuf, Alain & Cohen, Michele & Meilijson, Isaac, 2004. "Four notions of mean-preserving increase in risk, risk attitudes and applications to the rank-dependent expected utility model," Journal of Mathematical Economics, Elsevier, vol. 40(5), pages 547-571, August.
  7. Ana Cecília Fieler, 2011. "Nonhomotheticity and Bilateral Trade: Evidence and a Quantitative Explanation," Econometrica, Econometric Society, vol. 79(4), pages 1069-1101, 07.
  8. Bommier, Antoine & Chassagnon, Arnold & Le Grand, François, 2012. "Comparative risk aversion: A formal approach with applications to saving behavior," Journal of Economic Theory, Elsevier, vol. 147(4), pages 1614-1641.
  9. Epstein, Larry G., 1983. "Stationary cardinal utility and optimal growth under uncertainty," Journal of Economic Theory, Elsevier, vol. 31(1), pages 133-152, October.
  10. Grant, Simon & Quiggin, John, 2004. "Increasing Uncertainty: A Definition," Risk and Sustainable Management Group Working Papers 151163, University of Queensland, School of Economics.
  11. Klibanoff, Peter & Marinacci, Massimo & Mukerji, Sujoy, 2009. "Recursive smooth ambiguity preferences," Journal of Economic Theory, Elsevier, vol. 144(3), pages 930-976, May.
  12. repec:hal:journl:halshs-00212281 is not listed on IDEAS
  13. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July.
  14. 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.
  15. 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.
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