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THE AMBIGUITY AVERSION LITERATURE: A CRITICAL ASSESSMENT

Published online by Cambridge University Press:  10 November 2009

Nabil I. Al-Najjar  and
Jonathan Weinstein
Nabil I. Al-Najjar
Affiliation:
Northwestern University
Jonathan Weinstein
Affiliation:
Northwestern University
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Abstract

We provide a critical assessment of the ambiguity aversion literature, which we characterize in terms of the view that Ellsberg choices are rational responses to ambiguity, to be explained by relaxing Savage's Sure-Thing principle and adding an ambiguity-aversion postulate. First, admitting Ellsberg choices as rational leads to behaviour, such as sensitivity to irrelevant sunk cost, or aversion to information, which most economists would consider absurd or irrational. Second, we argue that the mathematical objects referred to as “beliefs” in the ambiguity aversion literature have little to do with how an economist or game theorist understands and uses the concept. This is because of the lack of a useful notion of updating. Third, the anomaly of the Ellsberg choices can be explained simply and without tampering with the foundations of choice theory. These choices can arise when decision makers form heuristics that serve them well in real-life situations where odds are manipulable, and misapply them to experimental settings.

Type
Essay
Information
Economics & Philosophy , Volume 25 , Issue 3: Economics and Philosophy on Ambiguity Aversion , November 2009 , pp. 249 - 284
Copyright
Copyright © Cambridge University Press 2009

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References

REFERENCES

Al-Najjar, N. I. 2009. Decision makers as statisticians: diversity, ambiguity and learning. Econometrica, forthcoming.Google Scholar
Al-Najjar, N. I. and Weinstein, J.. 2008. Comparative testing of experts. Econometrica 76 (3): 541–59.CrossRefGoogle Scholar
Aumann, R. J. 1987. Correlated equilibrium as an expression of Bayesian rationality. Econometrica 55 (1): 1–18.CrossRefGoogle Scholar
Bewley, T. 1986. Knightian decision theory: Part I. Cowles Foundation Discussion Paper no. 807.Google Scholar
Bewley, T. 2002. Knightian decision theory. Part I. Decisions in Economics and Finance 25 (2): 79–110.CrossRefGoogle Scholar
Cerreia, S., Maccheroni, F., Marinacci, M. and Montrucchio, L.. 2008. Uncertainty averse preferences. Working paper; Collegio Carlo Alberto.Google Scholar
Charness, G., Karni, E. and Levin, D.. 2008. On the conjunction fallacy in probability judgment: new experimental evidence. Johns Hopkins University.CrossRefGoogle Scholar
de Finetti, B. 1974. Theory of Probability, Vol. 1–2. New York:Wiley.Google Scholar
Ellsberg, D. 1961. Risk, ambiguity, and the Savage axioms. Quarterly Journal of Economics 75 (4): 643–69.CrossRefGoogle Scholar
Epstein, L. G. and Le Breton, M.. 1993. Dynamically consistent beliefs must be Bayesian. Journal of Economic Theory 61 (1): 1–22.CrossRefGoogle Scholar
Epstein, L. and Schneider, M.. 2003. Recursive multiple-priors. Journal of Economic Theory 113, 1–31.CrossRefGoogle Scholar
Fudenberg, D. 2006. Advancing beyond advances in behavioral economics. Journal of Economic Literature 44 (3): 694–711.CrossRefGoogle Scholar
Gilboa, I. and Schmeidler, D.. 1989. Maxmin expected utility with nonunique prior. Journal of Mathematics and Economics 18 (2): 141–53.CrossRefGoogle Scholar
Gilboa, I. and Schmeidler, D.. 1993. Updating ambiguous beliefs. Journal of Economic Theory 59, 33–49.CrossRefGoogle Scholar
Gilboa, I. and Schmeidler, D.. 1994. Additive representations of non-additive measures and the choquet integral. Annals of Operations Research (Historical Archive) 52 (1): 43–65.CrossRefGoogle Scholar
Gilboa, I. and Schmeidler, D.. 2001. A Theory of Case-Based Decisions. New York: Cambridge University Press.CrossRefGoogle Scholar
Gottlieb, D. 2009. Imperfect Memory and Choice under Risk. Boston, MA: MIT Press.Google Scholar
Halevy, Y. 2007. Ellsberg revisited: an experimental study. Econometrica 75 (2): 503–36.CrossRefGoogle Scholar
Halevy, Y. and Feltkamp, V.. 2005. A Bayesian approach to uncertainty aversion. Review of Economic Studies 72 (2): 449–66.CrossRefGoogle Scholar
Hanany, E. and Klibanoff, P.. 2007. Updating preferences with multiple priors. Theoretical Economics 2, 261–98.Google Scholar
Hanany, E. and Klibanoff, P.. 2008. Updating Ambiguity Averse Preferences. Northwestern University.CrossRefGoogle Scholar
Hansen, L. and Sargent, T. 2001a. Acknowledging misspecification in macroeconomic theory. Review of Economic Dynamics 4 (3): 519–35.CrossRefGoogle Scholar
Hansen, L. and Sargent, T. 2001b. Robust control and model uncertainty. American Economic Review 91 (2): 60–6.CrossRefGoogle Scholar
Klibanoff, P., Marinacci, M., and Mukerji, S.. 2005. A smooth model of decision making under ambiguity. Econometrica 73 (6): 1849–92.CrossRefGoogle Scholar
Klibanoff, P., Marinacci, M., and Mukerji, S.. 2006. Recursive smooth ambiguity preferences. Carlo Alberto Notebooks.Google Scholar
List, J., and Haigh, M.. 2005. A simple test of expected utility theory using professional traders. Proceedings of the National Academy of Sciences 102 (3): 945–48.CrossRefGoogle ScholarPubMed
Maccheroni, F., Marinacci, M., and Rustichini, A.. 2006a. Ambiguity aversion, malevolent nature, and the variational representation of preferences. Econometrica 74, 1447–98.CrossRefGoogle Scholar
Maccheroni, F., Marinacci, M., and Rustichini, A.. 2006b. Dynamic variational preferences. Journal of Economic Theory 128, 4–44.CrossRefGoogle Scholar
Machina, M. 1989. Dynamic consistency and non-expected utility models of choice under uncertainty. Journal of Economic Literature 27 (4): 1622–68.Google Scholar
Machina, M. J., and Schmeidler, D.. 1992. A more robust definition of subjective probability. Econometrica 60 (4): 745–80.CrossRefGoogle Scholar
Morris, S. 1997. Risk, uncertainty and hidden information. Theory and Decision 42 (3): 235–69.CrossRefGoogle Scholar
Mukerji, S. 1997. Understanding the nonadditive probability decision model. Economic Theory 9 (1): 23–46.CrossRefGoogle Scholar
Myerson, R. 1991. Game Theory: Analysis of Conflict. Harvard: Harvard University Press.Google Scholar
Ozdenoren, E. and Peck, J.. 2008. Ambiguity aversion, games against nature, and dynamic consistency. Games and Economic Behavior 62 (1): 106–15.CrossRefGoogle Scholar
Pacheco Pires, C. 2002. A rule for updating ambiguous beliefs. Theory and Decision 53 (2): 137–52.CrossRefGoogle Scholar
Samuelson, L. 2001. Analogies, adaptation, and anomalies. Journal of Economic Theory 97 (2): 320–66.CrossRefGoogle Scholar
Sandroni, A. 2003. The reproducible properties of correct forecasts. International Journal of Game Theory 32 (1): 151–59.CrossRefGoogle Scholar
Sarin, R., and Wakker, P.. 1998. Dynamic choice and nonexpected utility. Journal of Risk and Uncertainty 17 (2): 87–120.CrossRefGoogle Scholar
Savage, L. J. 1951. The theory of statistical decision. Journal of the American Statistical Association 46 (253): 55–67.CrossRefGoogle Scholar
Savage, L. J. 1954. The Foundations of Statistics. New York: John Wiley & Sons Inc.Google Scholar
Schmeidler, D. 1989. Subjective probability and expected utility without additivity. Econometrica 57 (3): 571–87.CrossRefGoogle Scholar
Sims, C. 2001. Pitfalls of a minimax approach to model uncertainty. American Economic Review, Papers and Proceedings 91 (2): 51–4.CrossRefGoogle Scholar
Siniscalchi, M. 2006. Dynamic Choice under Ambiguity. Northwestern University.CrossRefGoogle Scholar
Strotz, R. 1956. Myopia and inconsistency in dynamic utility maximization. Review of Economic Studies 23 (3): 165–80.CrossRefGoogle Scholar
Tversky, A., and Kahneman, D.. 1974. Judgment under uncertainty: heuristics and biases. Science 185 (4157): 1124–31.CrossRefGoogle ScholarPubMed
Tversky, A., and Kahneman, D.. 1983. Extensional versus intuitive reasoning: the conjunction fallacy in probabilty judgment. Psychological Review 90 (4): 293–315.CrossRefGoogle Scholar
Wakker, P. 1988. Nonexpected utility as aversion of information. Journal of Behavioral Decision Making 1, 169–75.CrossRefGoogle Scholar
Zeckhauser, R. 2006. Investing in the unknown and unknowable. Capitalism and Society 1, 1–41.CrossRefGoogle Scholar