A. Najjar, N. Weinstein, and J. , The ambiguity aversion literature: a critical assessment, Economics and Philosophy, vol.25, pp.249-284, 2009.

F. Anscombe and R. Aumann, A definition of subjective probability, Annals of Mathematical Statistics, vol.34, pp.199-205, 1963.

L. Bastianello, J. H. Faro, and A. Santos, Dynamically consistent objective and subjective rationality. mimeo, 2020.

T. Bewley, Knightian decision theory: Part i, Decisions in Economics and Finance, vol.25, pp.79-110, 2002.

S. Cerreia-vioglio, Objective rationality and uncertainty averse preferences. Theoretical, Economics, vol.11, issue.2, pp.523-545, 2016.

S. Cerreia-vioglio, A. Giarlotta, S. Greco, F. Maccheroni, and M. Marinacci, Rational preference and rationalizable choice, Economic Theory, vol.69, pp.61-105, 2020.

D. Ellsberg, Risk, ambiguity, and the savage axioms. The quarterly journal of economics, pp.643-669, 1961.

L. Epstein and M. Lebreton, Dynamically consistent beliefs must be Bayesian, Journal of Economic Theory, vol.61, issue.1, pp.1-22, 1993.

L. Epstein and M. Schneider, Recursive multiple prior, Journal of Economic Theory, vol.113, pp.1-31, 2003.

J. Etner, M. Jeleva, and J. Tallon, Decision theory under ambiguity, Journal of Economic Surveys, vol.26, issue.2, pp.234-270, 2012.
URL : https://hal.archives-ouvertes.fr/halshs-00643580

J. H. Faro, Variational bewley preferences, Journal of Economic Theory, vol.157, pp.699-729, 2015.

J. H. Faro and J. Lefort, Dynamic objective and subjective rationality, Theoretical Economics, vol.14, pp.1-14, 2019.

T. Gajdos, T. Hayashi, J. Tallon, and J. Vergnaud, Attitude toward imprecise information, Journal of Economic Theory, vol.140, pp.23-56, 2008.
URL : https://hal.archives-ouvertes.fr/halshs-00130179

P. Ghirardato, F. Maccheroni, and M. Marinacci, Differentiating ambiguity and ambiguity attitude, Journal of Economic Theory, vol.118, pp.133-173, 2004.

A. Giarlotta and S. Greco, Necessary and possible preference structures, Journal of Mathematical Economics, vol.49, issue.2, pp.163-172, 2013.

I. Gilboa, F. Maccheroni, M. Marinacci, and D. Schmeidler, Objective and subjective rationality in a multiple prior model, Econometrica, vol.78, pp.755-770, 2010.
URL : https://hal.archives-ouvertes.fr/hal-00537082

I. Gilboa and M. Marinacci, Ambiguity and the Bayesian Paradigm, pp.385-439, 2016.

I. Gilboa and D. Schmeidler, Maxmin expected utility with a non-unique prior, Journal of Mathematical Economics, vol.18, pp.141-153, 1989.

B. Hill, Dynamic consistency and ambiguity: A reappraisal, Games and Economic Behavior, 2020.
URL : https://hal.archives-ouvertes.fr/hal-01947466

T. C. Koopmans, Stationary ordinal utility and impatience, Econometrica: Journal of the Econometric Society, pp.287-309, 1960.

I. Kopylov, Choice deferral and ambiguity aversion, Theoretical Economics, vol.4, issue.2, pp.199-225, 2009.

E. Lehrer and R. Teper, Justifiable preferences, Journal of Economic Theory, vol.146, issue.2, pp.762-774, 2011.

K. Nehring, Ambiguity in the context of probabilistic beliefs. Working paper, 2001.

K. Nehring, Imprecise probabilistic beliefs as a context for decision-making under ambiguity, Journal of Economic Theory, vol.144, issue.3, pp.1054-1091, 2009.

F. Riedel, Dynamic coherent risk measures. Stochastic processes and their applications, vol.112, pp.185-200, 2004.

F. Riedel, J. Tallon, and V. Vergopoulos, Dynamically consistent preferences under imprecise probabilistic information, Journal of Mathematical Economics, vol.79, pp.117-124, 2018.
URL : https://hal.archives-ouvertes.fr/halshs-01886573

P. Samuelson, A note on measurement of utility, Review of Economic Studies, vol.4, pp.155-161, 1937.

R. Sarin and P. P. Wakker, Dynamic choice and nonexpected utility, Journal of Risk and Uncertainty, vol.17, issue.2, pp.87-120, 1998.

J. Von-neumann and O. Morgenstern, Theory of games and economic behavior, 1947.