Ambiguity made precise: A comparative foundation. (English) Zbl 1019.91015
There is characterized a formal definition of ambiguity aversion for a class of preference models. The presented analysis is based on a full subjective framework. All proofs and some-examples are given.
Reviewer: Krzysztof Piasecki (Poznań)
References:
| [1] | Anscombe, F. J.; Aumann, R. J., A definition of subjective probability, Ann. Math. Stat., 34, 199-205 (1963) · Zbl 0114.07204 |
| [2] | Arrow, K. J., The theory of risk aversion, Essays in the Theory of Risk-Bearing (1974), North-Holland: North-Holland Amsterdam · Zbl 0323.90014 |
| [3] | Casadesus-Masanell, R.; Klibanoff, P.; Ozdenoren, E., Maxmin expected utility over Savage acts with a set of priors, J. Econ. Theory, 92, 33-65 (2000) · Zbl 0980.91017 |
| [4] | A. Chateauneuf, and, J. M. Tallon, Diversification, convex preferences and non-empty core, mimeo, Université Paris I, July 1998.; A. Chateauneuf, and, J. M. Tallon, Diversification, convex preferences and non-empty core, mimeo, Université Paris I, July 1998. · Zbl 1037.91029 |
| [5] | Choquet, G., Theory of capacities, Ann. Inst. Fourier (Grenoble), 5, 131-295 (1953) · Zbl 0064.35101 |
| [6] | de Finetti, B., Sulla preferibilità, Giorn. Econ., 6, 3-27 (1952) |
| [7] | Ellsberg, D., Risk, ambiguity, and the Savage axioms, Quart. J. Econ., 75, 643-669 (1961) · Zbl 1280.91045 |
| [8] | Epstein, L. G., A definition of uncertainty aversion, Rev. Econ. Stud., 66, 579-608 (1999) · Zbl 0953.91002 |
| [9] | Epstein, L. G.; Wang, T., Intertemporal asset pricing under Knightian uncertainty, Econometrica, 62, 283-322 (1994) · Zbl 0799.90016 |
| [10] | Epstein, L. G.; Zhang, J., Subjective probabilities on subjectively unambiguous events, Econometrica, 69, 265-306 (2001) · Zbl 1020.91048 |
| [11] | Fishburn, P. C., The axioms and algebra of ambiguity, Theory Dec., 34, 119-137 (1993) · Zbl 0780.90004 |
| [12] | Ghirardato, P.; Katz, J. N., Indecision Theory: Explaining Selective Abstention in Multiple Elections. Indecision Theory: Explaining Selective Abstention in Multiple Elections, Social Science Working Paper 1106 (November 2000), Caltech |
| [13] | Ghirardato, P.; Marinacci, M., Risk, Ambiguity, and the Separation of Utility and Beliefs. Risk, Ambiguity, and the Separation of Utility and Beliefs, Social Science Working Paper 1085 (March 2000), Caltech |
| [14] | P. Ghirardato, and, M. Marinacci, A subjective definition of ambiguity, Work in progress, Caltech and Università di Torino, 2000.; P. Ghirardato, and, M. Marinacci, A subjective definition of ambiguity, Work in progress, Caltech and Università di Torino, 2000. · Zbl 0963.91036 |
| [15] | Gilboa, I.; Schmeidler, D., Maxmin expected utility with a non-unique prior, J. Math. Econ., 18, 141-153 (1989) · Zbl 0675.90012 |
| [16] | Hansen, L. P.; Sargent, T.; Tallarini, T. D., Robust permanent income and pricing, Rev. Econ. Stud., 66, 873-907 (1999) · Zbl 0943.91048 |
| [17] | Kannai, Y., The core and balancedness, (Aumann, R. J.; Hart, S., Handbook of Game Theory (1992), North-Holland: North-Holland Amsterdam), 355-395 · Zbl 0968.91503 |
| [18] | D. Kelsey, and, S. Nandeibam, On the measurement of uncertainty aversion, mimeo, University of Birmingham, September 1996.; D. Kelsey, and, S. Nandeibam, On the measurement of uncertainty aversion, mimeo, University of Birmingham, September 1996. |
| [19] | Krantz, D. H.; Luce, R. D.; Suppes, P.; Tversky, A., Foundations of Measurement: Additive and Polynomial Representations (1971), Academic Press: Academic Press San Diego · Zbl 0232.02040 |
| [20] | Machina, M. J.; Schmeidler, D., A more robust definition of subjective probability, Econometrica, 60, 745-780 (1992) · Zbl 0763.90012 |
| [21] | Montesano, A.; Giovannoni, F., Uncertainty aversion and aversion to increasing uncertainty, Theory Dec., 41, 133-148 (1996) · Zbl 0864.90005 |
| [22] | Mukerji, S., Ambiguity aversion and incompleteness of contractual form, Amer. Econ. Rev., 88, 1207-1231 (1998) |
| [23] | Nehring, K., Capacities and probabilistic beliefs: A precarious coexistence, Math. Soc. Sci., 38, 197-213 (1999) · Zbl 1073.91571 |
| [24] | Pratt, J. W., Risk aversion in the small and in the large, Econometrica, 32, 122-136 (1964) · Zbl 0132.13906 |
| [25] | Savage, L. J., The Foundations of Statistics (1954), Wiley: Wiley New York · Zbl 0121.13603 |
| [26] | Schmeidler, D., Subjective probability and expected utility without additivity, Econometrica, 57, 571-587 (1989) · Zbl 0672.90011 |
| [27] | Tversky, A.; Wakker, P. P., Risk attitudes and decision weights, Econometrica, 63, 1255-1280 (1995) · Zbl 0836.90007 |
| [28] | Wakker, P. P., Additive Representations of Preferences (1989), Kluwer: Kluwer Dordrecht · Zbl 0668.90001 |
| [29] | Wakker, P. P.; Deneffe, D., Eliciting von Neumann-Morgenstern utilitites when probabilities are distorted or unknown, Manage. Sci., 42, 1131-1150 (1996) · Zbl 0880.90008 |
| [30] | Yaari, M. E., Some remarks on measures of risk aversion and on their uses, J. Econ. Theory, 1, 315-329 (1969) |
| [31] | J. Zhang, Subjective ambiguity, probability and capacity, mimeo, University of Toronto, October 1996.; J. Zhang, Subjective ambiguity, probability and capacity, mimeo, University of Toronto, October 1996. |
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