Risk, ambiguity, and the rank-dependence axioms

American Economic Review

Volumn 99, Issue 1, 2009, Pages 385-392

  Machina, Mark J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 65949086425     PISSN: 00028282     EISSN: None     Source Type: Journal    
DOI: 10.1257/aer.99.1.385     Document Type: Article

References (45)

1. Abdellaoui, Mohammed, and Peter P. Wakker. 2005. "The Likelihood Method for Decision under Uncertainty." Theory and decision, 58(1):3-76.
2. Baillon, Aurélien, Olivier L'Haridon, and Lætitia Placido. 2008. "Risk, Ambiguity and the Rank-Dependence Axioms: Comment." Unpublished.
3. Birnbaum, Michael H. 2004. "Tests of Rank-Dependent Utility and Cumulative Prospect Theory in Gambles Represented by Natural Frequencies: Effects of Format, Event Framing, and Branch Splitting." Organizational Behavior and human decision Processes, 95(1):40-65.
4. Birnbaum, Michael H. 2008. "New Paradoxes of Risky Decision Making." Psychological Review, 115(2):463-501.
5. Birnbaum, Michael H., and Alfredo Chavez. 1997. "Tests of Theories of Decision Making: Violations of Branch Independence and Distribution Independence." Organizational Behavior and human decision Processes, 71(2):161-94.
6. Birnbaum, Michael H., and Juan B. Navarrete. 1998. "Testing Descriptive Utility Theories: Violations of Stochastic Dominance and Cumulative Independence." Journal of Risk and Uncertainty, 17(1):49-78.
7. Birnbaum, Michael H., Jamie N. Patton, and Melissa K. Lott. 1999. "Evidence against Rank-Dependent Utility Theories: Violations of Cumulative Independence, Interval Independence, Stochastic Dominance, and Transitivity." Organizational Behavior and human decision Processes, 77(1):44-83.
8. Camerer, Colin, and Martin Weber. 1992. "Recent Developments in Modeling Preferences: Uncertainty and Ambiguity." Journal of Risk and Uncertainty, 5(4):325-70.
9. Carbone, Enrica, and John D. Hey. 1995. "A Comparison of the Estimates of EU and Non-EU Preference Functionals Using Data from Pairwise Choice and Complete Ranking Experiments." Geneva Papers on Risk and Insurance Theory, 20(1):111-33.
10. Chateauneuf, Alain. 1991. "On the Use of Capacities in Modeling Uncertainty Aversion and Risk Aversion". Journal of mathematical Economics, 20(4):343-69.
11. Chew, Soo Hong, and Edi Karni. 1994. "Choquet Expected Utility with a Finite State Space: Commutativity and Act-Independence." Journal of Economic Theory, 62(2):469-79.
12. Chew, Soo Hong, and Jacob S. Sagi. 2008. "Small Worlds: Modeling Attitudes toward Sources of Uncertainty." Journal of Economic Theory, 139(1):1-24.
13. Chew, Soo Hong, and Peter Wakker. 1996. "The Comonotonic Sure-Thing Principle." Journal of Risk and Uncertainty, 12(1):5-27.
14. Ellsberg, Daniel. 1961. "Risk, Ambiguity, and the Savage Axioms." Quarterly Journal of Economics, 75(4):643-69.
15. Ellsberg, Daniel. 2001.Risk, Ambiguity and Decision. New York: Garland.
16. Epstein, Larry G. 1999. "A Definition of Uncertainty Aversion". Review of Economic Studies, 66(3):579-608.
17. Fennema, Hein, and Peter P. Wakker. 1996. "A Test of Rank-Dependent Utility in the Context of Ambiguity." Journal of Risk and Uncertainty, 13(1):19-35.
18. Gilboa, Itzhak. 1987. "Expected Utility with Purely Subjective Non-Additive Probabilities." Journal of mathematical Economics, 16(1):65-88.
19. Gilboa, Itzhak, and David Schmeidler. 1989. "Maxmin Expected Utility with Non-Unique Prior." Journal of Mathematical Economics, 18(2):141-53.
20. Hey, John D., Gianna Lotito, and Anna Maffioletti. 2008. "The Descriptive and Predictive Adequacy of Theories of Decision Making under Uncertainty/Ambiguity." University of York Discussion Paper in Economics 2008/04.
21. Hey, John D., and Chris Orme. 1994. "Investigating Generalizations of Expected Utility Theory Using Experimental Data." Econometrica, 62(6):1291-326.
22. Kelsey, David, and John Quiggin. 1992. "Theories of Choice under Ignorance and Uncertainty." Journal of Economic Surveys, 6(2):133-53.
23. Kischka, Peter, and Clemens Puppe. 1992. "Decisions Under Risk and Uncertainty: A Survey of Recent Developments." Mathematical methods of Operations Research, 36(2):125-47.
24. Klibanoff, Peter. 2001. "Stochastically Independent Randomization and Uncertainty Aversion". Economic Theory, 18(3):605-20.
25. Klibanoff, Peter, Massimo Marinacci, and Sujoy Mukerji. 2005. "A Smooth Model of Decision Making under Ambiguity." Econometrica, 73(6):1849-92.
26. Köbberling, Veronika, and Peter P. Wakker. 2003. "Preference Foundations for Nonexpected Utility: A Generalized and Simplified Technique." Mathematics of Operations Research, 28(3):395-423.
27. L'Haridon, Olivier, and Lætitia Placido. 2008. "A n Allais Pa radox for Generalized Expected Utilit y T heories?" Economics Bulletin, (4) 19:1-6.
28. L'Haridon, Olivier, and Lætitia Placido. Forthcoming. "Betting on Machina's Reflection Example: An Experiment on Ambiguity." Theory and Decision.
29. Lehrer, Ehud. 2007. "Partially-Specified Probabilities: Decisions and Games." Unpublished.
30. Lehrer, Ehud. 2008. "A Comment on Two Examples by Machina." Unpublished.
31. Lehrer, Ehud. Forthcoming. "A New Integral for Capacities." Economic Theory.
32. Lo, Kin Chung. 2007. "Risk, Ambiguity, and the Klibanoff Axioms." Unpublished.
33. Mangelsdorff, Lukas, and Martin Weber. 1994. "Testing Choquet Expected Utility." Journal of Economic Behavior and Organization, 25(3):437-57.
34. Marley, A. A. J., and R. Duncan Luce. 2005. "Independence Properties vis-à-vis Several Utility Representations." Theory and decision, 58(1):77-143.
35. Nakamura, Yutaka. 1990. "Subjective Expected Utility with Non-Additive Probabilities on Finite State Spaces." Journal of Economic Theory, 51(2):346-66.
36. Sarin, Rakesh K., and Peter Wakker. 1992. "A Simple Axiomatization of Nonadditive Expected Utility." Econometrica, 60(6):1255-72.
37. Savage, Leonard. 1954.The Foundations of Statistics. New York: John Wiley and Sons. Revised and Enlarged Edition, New York: Dover Publications, 1972.
38. Schmeidler, David. 1989. "Subjective Probability and Expected Utility without Additivity." Econometrica, 57(3):571-87.
39. Segal, Uzi. 1987. "The Ellsberg Paradox and Risk Aversion: An Anticipated Utility Approach." International Economic Review, 28(1):175-202.
40. Siniscalchi, Marciano. 2008a. "Vector Expected Utility and Attitudes Toward Variation". Northwestern University CMS-EMS Discussion Paper 1455.
41. Siniscalchi, Marciano. 2008b. "Machina's Reflection Example and VEU Preferences: A Very Short Note." Unpublished.
42. Wakker, Peter P. 1996. "The Sure-Thing Principle and the Comonotonic Sure-Thing Principle: An Axiomatic Analysis." Journal of mathematical Economics, 25(2):213-27.
43. Wakker, Peter P. 2001. "Testing and Characterizing Properties of Nonadditive Measures through Violations of the Sure-Thing Principle." Econometrica, 69(4):1039-59.
44. Wakker, Peter P., Ido Erev, and Elke U. Weber. 1994. "Comonotonic Independence: The Critical Test between Classical and Rank-Dependent Utility Theories." Journal of Risk and Uncertainty, 9(3):195-230.
45. Wu, George. 1994. "A n Empirical Test of Ordinal Independence." Journal of Risk and Uncertainty, 9(1):39-60.