Conditional preferences and updating

Journal of Economic Theory

Volumn 108, Issue 2, 2003, Pages 286-321

  Wang, Tan ^a  

^a UNIVERSITY OF BRITISH COLUMBIA   (Canada)

Author keywords

Ambiguity; Learning; Uncertainty; Updating rules

Indexed keywords

EID: 0037950070     PISSN: 00220531     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0531(03)00028-0     Document Type: Article

References (46)

1. E. Anderson, L. Hansen, T. Sargent, Robustness, detection and the price of risk, Working paper, University of Chicago, 1999.
2. B. Anger, Representation of capacities, Math. Ann. 229 (1977) 245-258.
3. C.F. Camerer, M. Weber, Recent developments in modelling preferences: uncertainty and ambiguity, J. Risk Uncertainty 8 (1992) 167-196.
4. R. Casadesus-Masanell, P. Klibanoff, E. Ozdenoren, Maxmin expected utility over savage acts with a set of priors, J. Econom. Theory 92 (2000) 35-65.
5. S.H. Chew, L. Epstein, The structure of preferences and attitudes towards the timing of the resolution of uncertainty, Internat. Econom. Rev. 30 (1989) 103-117.
6. S.H. Chew, L. Epstein, Recursive utility under uncertainty, in: A. Kahn, N. Yannelis (Eds.), Equilibrium Theory with an Infinite Number of Commodities, Springer, Berlin, Heidelberg, New York, 1991, pp. 352-369.
7. S.H. Chew, E. Karni, Choquet expected utility with a finite state space: commutativity and act-independence, J. Econom. Theory 62 (1994) 469-479.
8. G. Choquet, Theory of capacities, Ann. Inst. Fourier 5 (1953-4) 131-295.
9. K. Cotter, Similarity of information and behavior with a pointwise convergence topology, J. Math. Econom. 15 (1986) 25-38.
10. G. Debreu, Representation of a preference ordering by a numerical function, in: R. Thrall, C. Coombs, R. David (Eds.), Decision Processes, Wiley, New York, 1954.
11. A.P. Dempster, Upper and lower probabilities induced from a multivalued mapping, Ann. Math. Statist. 38 (1967) 525-539.
12. A.P. Dempster, A generalization of Bayesian inference, J. Roy. Statist. Soc. Ser. B 30 (1968) 205-247.
13. J. Dow, S. Werlang, Laws of large numbers for non-additive probabilities, Working paper, London Business School, 1994.
14. D. Ellsberg, Risk, ambiguity, and the savage axioms, Quart. J. Econom. 75 (1961) 643-669.
15. L. Epstein, S. Zin, Substitution, risk aversion and the temporal behavior of consumption and asset returns: a theoretical framework, Econometrica 57 (1989) 937-969.
16. L. Epstein, M. Le Breton, Dynamically consistent beliefs must be Bayesian, J. Econom. Theory 61 (1993) 1-22.
17. L. Epstein, T. Wang, Intertemporal asset pricing under knightian uncertainty, Econometrica 62 (1994) 283-322.
18. L. Epstein, T. Wang, Uncertainty, risk-neutral measures and security price booms and crashes, J. Econom. Theory 67 (1995) 40-80.
19. I. Gilboa, Expected utility theory with purely subjective non-additive probabilities, J. Math. Econom. 16 (1987) 65-88.
20. I. Gilboa, D. Schmeidler, Maxmin expected utility theory with non-unique prior, J. Math. Econom. 18 (1989) 141-153.
21. I. Gilboa, D. Schmeidler, Updating ambiguous beliefs, J. Econom. Theory 59 (1993) 33-49.
22. W.M. Gorman, The structure of utility functions, Rev. Econom. Stud. 35 (1968) 367-390.
23. S. Graf, A Radon-Nikodym theorem for capacities, J. Math. 320 (1980) 192-214.
24. L. Hansen, T. Sargent, T. Tallarini, Robust permanent income and pricing, Rev. Econom. Stud. 66 (1999) 873-907.
25. T. Herron, T. Seidenfeld, L. Wasserman, Divisive conditioning: further results on dilation, Philos. Sci. 64 (1997) 411-444.
26. P. Klibanoff, Dynamic choice with uncertainty aversion, Working paper, Northwestern University, 1995.
27. F. Knight, Risk, Uncertainty and Profit, Houghton, Mifflin, Boston, 1921.
28. T. Koopmans, Stationary ordinal utility and impatience, Econometrica 28 (1960) 287-309.
29. D. Kreps, E. Porteus, Temporal resolution of uncertainty and dynamic choice theory, Econometrica 46 (1978) 185-200.
30. M. Machina, D. Schmeidler, A more robust definition of subjective probability, Econometrica 60 (1992) 745-780.
31. M. Marinacci, Limit laws for non-additive probabilities and their frequentist interpretation, J. Econom. Theory 84 (1999) 145-195.
32. Y. Nakamura, Subjective expected utility with non-additive probabilities on finite state spaces, J. Econom. Theory 51 (1990) 346-366.
33. R. Sarin, P. Wakker, A simple axiomatization of nonadditive expected utility, Econometrica 60 (1998) 1255-1272.
34. R. Sarin, P. Wakker, Revealed likelihood and knightian uncertainty, J. Risk Uncertainty 16 (1998) 223-250.
35. L. Savage, Foundations of Statistics, Wiley, New York, 1954.
36. D. Schmeidler, Integral representation without additivity, Proc. Amer. Math. Soc. 97 (1986) 255-261.
37. D. Schmeidler, Subjective probability and expected utility without additivity, Econometrica 57 (1989) 571-587.
38. G. Shafer, A Mathematical Theory of Evidence, University of Princeton Press, New Jersey, 1976.
39. G. Shafer, Allocations of probability, Ann. Probab. 7 (1979) 827-839.
40. T. Seidenfeld, L. Wasserman, Dilation for convex sets of probabilities, Ann. Statist. 21 (1993) 1139-1154.
41. C. Skiadas, Subjective probability under additive aggregation of conditional preferences, J. Econom. Theory 76 (1997) 242-271.
42. C. Skiadas, Recursive utility and preferences for information, Econom. Theory 12 (1998) 293-312.
43. P. Wakker, Testing and characterizing properties of nonadditive measures through violations of the sure-thing principle, Econometrica 69 (2001) 1039-1059.
44. P. Walley, Statistical Reasoning with Imprecise Probabilities, Chapman & Hall, London, 1991.
45. T. Wang, A class of dynamic risk measures, Working paper, University of British Columbia, 1999.
46. L. Wasserman, J. Kadane, 'Bayes' Theorem for Choquet capacities, Ann. Statist. 18 (1990) 1328-1339.