A simplified axiomatic approach to ambiguity aversion

Journal of Risk and Uncertainty

Volumn 41, Issue 2, 2010, Pages 113-124

  Neilson, William S ^a  

^a UNIVERSITY OF TENNESSEE   (United States)

Author keywords

Ambiguity; Anscombe Aumann framework; Ellsberg paradox; Independence axiom; Savage axioms

Indexed keywords

EID: 77955173669     PISSN: 08955646     EISSN: 15730476     Source Type: Journal    
DOI: 10.1007/s11166-010-9099-4     Document Type: Article

References (25)

1. Ahn, D. S. (2008). Ambiguity without a state space. Review of Economic Studies, 75(1), 3-28.
2. Anscombe, F. J., & Aumann, R. J. (1963). A definition of subjective probability. Annals of Mathematical Statistics, 34(1), 199-205.
3. Chew, S. H., & Sagi, J. S. (2008). Small worlds: Modeling attitudes toward sources of uncertainty. Journal of Economic Theory, 139(1), 1-24.
4. Ellsberg, D. (1961). Risk, ambiguity, and the Savage axioms. Quarterly Journal of Economics, 75(4), 643-669.
5. Epstein, L. G., & Zhang, J. (2001). Probabilities on subjectively unambiguous events. Econometrica, 69(2), 265-306.
6. Ergin, H., & Gul, F. (2009). A subjective theory of compound lotteries. Journal of Economic Theory, 144(3), 899-929.
7. Ghirardato, P., Maccheroni, F., & Marinacci, M. (2004). Differentiating ambiguity and ambiguity attitude. Journal of Economic Theory, 118(2), 133-173.
8. Gilboa, I. (1987). Subjective utility with purely subjective non-additive probabilities. Journal of Mathematical Economics, 16(1), 65-88.
9. Gilboa, I., & Schmeidler, D. (1989). Maxmin expected utility with a non-unique prior. Journal of Mathematical Economics, 18(2), 141-153.
10. Gilboa, I., Maccheroni, F., Marinacci, M., & Schmeidler, D. (2010). Objective and subjective rationality in a multiple prior model. Econometrica, 78(2), 755-770.
11. Grandmont, J.-M. (1972). Continuity properties of a von Neumann-Morgenstern utility. Journal of Economic Theory, 4(1), 45-57.
12. Grant, S., Polak, B., & Strzalecki, T. (2009). Second-order expected utility. Mimeo.
13. Hazen, G. B. (1987). Subjectively weighted linear utility. Theory and Decision, 23(3), 261-282.
14. Hazen, G. B., & Lee, J. S. (1991). Ambiguity aversion in the small and in the large for weighted linear utility. Journal of Risk and Uncertainty, 4(2), 177-212.
15. Klibanoff, P., Marinacci, M., & Mukerji, S. (2005). A smooth model of decision making under ambiguity. Econometrica, 73(6), 1849-1892.
16. Kreps, D. M., & Porteus, E. L. (1978). Temporal resolution of uncertainty and dynamic choice theory. Econometrica, 46(1), 185-200.
17. Maccheroni, F., Marinacci, M., & Rustichini, A. (2006). Ambiguity aversion, robustness, and the variational representation of preferences. Econometrica, 74(6), 1447-1498.
18. Nau, R. F. (2006). Uncertainty aversion with second-order utilities and probabilities. Management Science, 52(1), 136-145.
19. Neilson, W. S. (1993). Ambiguity aversion: An axiomatic approach using second-order probabilities. Mimeo.
20. Sarin, R. K., & Wakker, P. (1992). A simple axiomatization of nonadditive expected utility. Econometrica, 60(6), 1255-1272.
21. Savage, L. J. (1954). Foundations of statistics. New York: Wiley.
22. Schmeidler, D. (1989). Subjective probability and expected utility without additivity. Econometrica, 57(3), 571-587.
23. Strzalecki, T. (2009). Axiomatic foundations of multiplier preferences. Mimeo.
24. von Neumann, J., & Morgenstern, O. (1944). Theory of games and economic behavior. Princeton: Princeton University Press.
25. Werner, J. (2005). A simple axiomatization of risk-averse expected utility. Economics Letters, 88(1), 73-77.