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An Approximate Dual-Self Model and Paradoxes of Choice under Risk

  • Drew Fudenberg
  • David K. Levine
  • Zacharias Maniadis

We derive a simplified version of the model of Fudenberg and Levine, 2006 and Fudenberg and Levine, 2011 and show how this approximate model is useful in explaining choice under risk. We show that in the simple case of three outcomes, the model can generate indifference curves that “fan out†in the Marschak–Machina triangle, and thus can explain the well-known Allais and common ratio paradoxes that models such as prospect theory and regret theory are designed to capture. At the same time, our model is consistent with modern macroeconomic theory and evidence and generates predictions across a much wider set of domains than these models.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000472.

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Date of creation: 03 Aug 2012
Date of revision:
Handle: RePEc:cla:levarc:786969000000000472
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  1. Daniel J. Benjamin & Sebastian A. Brown & Jesse M. Shapiro, 2006. "Who is “Behavioral”? Cognitive Ability and Anomalous Preferences," Levine's Working Paper Archive 122247000000001334, David K. Levine.
  2. Loomes, Graham & Sugden, Robert, 1982. "Regret Theory: An Alternative Theory of Rational Choice under Uncertainty," Economic Journal, Royal Economic Society, vol. 92(368), pages 805-24, December.
  3. Kahneman, Daniel & Tversky, Amos, 1979. "Prospect Theory: An Analysis of Decision under Risk," Econometrica, Econometric Society, vol. 47(2), pages 263-91, March.
  4. Matthew Rabin, 2001. "Risk Aversion and Expected-Utility Theory: A Calibration Theorem," Method and Hist of Econ Thought 0012001, EconWPA.
  5. Manel Baucells & Franz Heukamp, 2010. "Common ratio using delay," Theory and Decision, Springer, vol. 68(1), pages 149-158, February.
  6. Machina, Mark J, 1987. "Choice under Uncertainty: Problems Solved and Unsolved," Journal of Economic Perspectives, American Economic Association, vol. 1(1), pages 121-54, Summer.
  7. Simonson, Itamar, 1989. " Choice Based on Reasons: The Case of Attraction and Compromise Effects," Journal of Consumer Research, University of Chicago Press, vol. 16(2), pages 158-74, September.
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