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We use decision theory to confront uncertainty that is sufficiently broad to incorporate "models as approximations." We presume the existence of a featured collection of what we call "structured models" that have explicit substantive motivations.
A. Wald, Statistical decision functions
1950
Earlier work this paper cites.
I. N. Herstein and J. Milnor, An axiomatic approach to measurable utility, Econometrica
1953
Earlier work this paper cites.
D. A. Blackwell and M. A. Girschick, Theory of games and statistical decisions
1954
Earlier work this paper cites.
E. Hewitt and L. J. Savage, Symmetric measures on Cartesian products, Transactions of the American Mathematical Society
1955
Earlier work this paper cites.
F. J. Anscombe and R. J. Aumann, A definition of subjective probability, Annals of Mathematical Statistics
1963
Earlier work this paper cites.
T. S. Ferguson, Mathematical statistics: A decision theoretic approach
1967
Earlier work this paper cites.
D. H. Jacobson, Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games, IEEE Transactions on Automatic Control
1973
Earlier work this paper cites.
G. E. P. Box, Science and statistics, Journal of the American Statistical Association
1976
Earlier work this paper cites.
D. Heath and W. Sudderth, On finitely additive priors, coherence, and extended admissibility, Annals of Statistics
1978
Earlier work this paper cites.
A. V. Fiacco and J. Kyparisis, Convexity and concavity properties of the optimal value function in parametric nonlinear programming, Journal of Optimization Theory and Applications
1986
Earlier work this paper cites.
F. Liese and I. Vajda, Convex statistical distances
1987
Earlier work this paper cites.
I. Gilboa and D. Schmeidler, Maxmin expected utility with non-unique prior, Journal of Mathematical Economics
1989
Earlier work this paper cites.
D. Schmeidler, Subjective probability and expected utility without additivity, Econometrica
1989
Earlier work this paper cites.
D. R. Cox, Comment on “Model uncertainty, data mining and statistical inference”, Journal of the Royal Statistical Society
1995
Earlier work this paper cites.
S. M. Srivastava, A course on Borel sets
1998
Earlier work this paper cites.
I. R. Petersen, M. R. James and P. Dupuis, Minimax optimal control of stochastic uncertain systems with relative entropy constraints, IEEE Transactions on Automatic Control
2000
Earlier work this paper cites.
L. P. Hansen and T. J. Sargent, Robust control and model uncertainty, American Economic Review
2001
Earlier work this paper cites.
F. Maccheroni and M. Marinacci, A Heine-Borel Theorem for b a ( Σ ) ba\left(\Sigma\right) , RISEC
2001
Cited alongside, same era.
F. Topsoe, Basic concepts, identities and inequalities – the toolkit of information theory, Entropy
2001
Cited alongside, same era.
P. Ghirardato and M. Marinacci, Ambiguity made precise: A comparative foundation, Journal of Economic Theory
2002
Cited alongside, same era.
C. Zalinescu, Convex analysis in general vector spaces
2002
Cited alongside, same era.
P. Ghirardato, F. Maccheroni and M. Marinacci, Differentiating ambiguity and ambiguity attitude, Journal of Economic Theory
2004
Cited alongside, same era.
S. Cerreia-Vioglio, F. Maccheroni, M. Marinacci and L. Montrucchio, Probabilistic sophistication, second order stochastic dominance and uncertainty aversion, Journal of Mathematical Economics
2012
Later among the works it cites.
S. Cerreia-Vioglio, F. Maccheroni, M. Marinacci and L. Montrucchio, Classical subjective expected utility, Proceedings of the National Academy of Sciences
2013
Later among the works it cites.
S. G. Walker, Bayesian inference with misspecified models, Journal of Statistical Planning and Inference
2013
Later among the works it cites.
L. P. Hansen, Nobel lecture: Uncertainty outside and inside economic models, Journal of Political Economy
2014
Later among the works it cites.
S. Cerreia-Vioglio, F. Maccheroni, M. Marinacci and A. Rustichini, Niveloids and their extensions: Risk measures on small domains, Journal of Mathematical Analysis and Applications
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F. Maccheroni, M. Marinacci and A. Rustichini, Ambiguity aversion, robustness, and the variational representation of preferences, Econometrica
2006
Cited alongside, same era.
C. D. Aliprantis and K. C. Border, Infinite dimensional analysis
2006
Cited alongside, same era.
F. Maccheroni, M. Marinacci and A. Rustichini, Ambiguity aversion, robustness, and the variational representation of preferences, Econometrica
2006
Cited alongside, same era.
A. Ben-Tal and M. Teboulle, An old-new concept of convex risk measures: The optimized certainty equivalent, Mathematical Finance
2007
Cited alongside, same era.
L. P. Hansen and T. J. Sargent, Recursive robust estimation and control without commitment, Journal of Economic Theory
2007
Cited alongside, same era.
A. Ben-Tal and M. Teboulle, An old-new concept of convex risk measures: The optimized certainty equivalent, Mathematical Finance
2007
Cited alongside, same era.
T. Gajdos, T. Hayashi, J.-M. Tallon and J.-C. Vergnaud, Attitude toward imprecise information, Journal of Economic Theory
2008
Cited alongside, same era.
2014
Later among the works it cites.
M. Marinacci, Model uncertainty, Journal of the European Economic Association
2015
Later among the works it cites.
S. Cerreia-Vioglio, Objective rationality and uncertainty averse preferences, Theoretical Economics
2016
Later among the works it cites.
I. Esponda and D. Pouzo, Berk-Nash equilibrium: A framework for modeling agents with misspecified models, Econometrica
2016
Later among the works it cites.
L. P. Hansen and M. Marinacci, Ambiguity aversion and model misspecification: An economic perspective, Statistical Science
2016
Later among the works it cites.
D. Fudenberg, G. Romanyuk and P. Strack, Active learning with a misspecified prior, Theoretical Economics
2017
Later among the works it cites.
I. Aydogan, L. Berger, V. Bosetti and N. Liu, Three layers of uncertainty and the role of model misspecification: an experiment, IGIER WP 623, 2018
2018
Later among the works it cites.
L. P. Hansen and J. Miao, Aversion to ambiguity and model misspecification in dynamic stochastic environments, Proceedings of the National Academy of Sciences
2018
Later among the works it cites.
S. Cerreia-Vioglio, A. Giarlotta, S. Greco, F. Maccheroni and M. Marinacci, Rational preference and rationalizable choice, Economic Theory
2020
Closest in time.
H. Duanmu and D. M. Roy, On extended admissible procedures and their nonstandard Bayes risk, Annals of Statistics
2021
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T. Denti and L. Pomatto, Model and predictive uncertainty: A Foundation for smooth ambiguity preferences, Econometrica
2022
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L. P. Hansen and T. J. Sargent, Structured ambiguity and model misspecification, Journal of Economic Theory
2022
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