Abstract
The major paradigm for sequential decision under uncertainty is expected utility. This approach has many good features that qualify it for posing and solving decision problems, especially dynamic consistency and computational efficiency via dynamic programming. However, when uncertainty is due to sheer lack of information, and expected utility is no longer a realistic criterion, the approach collapses because dynamic consistency becomes counterintuitive and the global non-expected utility criteria are no longer amenable to dynamic programming. In this paper we argue against Resolute Choice strategies, following the path opened by Jaffray, and suggest that the dynamic programming methodology may lead to more intuitive solutions respecting the Consequentialism axiom, while a global evaluation of strategies relying on lottery reduction is questionable.
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References
McClennen, E.F.: Rationality and Dynamic choice: Foundational Explorations. Cambridge University Press, Cambridge (1990)
Gilboa, I.: A Combination of Expected Utility and Maxmin Decision Criteria. Journal of Mathematical Psychology 32, 405–420 (1988)
Grant, S., Kajii, A., Polak, B.: Decomposable Choice under Uncertainty. Journal of Economic Theory 92(2), 169–197 (2000)
Hammond, P.: Consequentialist Foundations of Expected Utility. Theory and Decision 25, 25–78 (1988)
Hurwicz, L.: Optimality Criteria for Decision Making under Ignorance. Cowles Commission Papers 370 (1951)
Jaffray, J.-Y.: Linear Utility Theory for Belief Functions. Operational Research Letters 82, 107–112 (1989)
Jaffray, J.-Y.: Rational Decision Making With Imprecise Probabilities. In: Proc. Int. Sympos. on Imprecise Probabilities (ISIPTA 1999), pp. 183–188 (1999)
Jeantet, G.: Algorithmes pour la décision séquentielle dans l’incertain: optimisation de l’utilité espérée dépendant du rang et du critère de Hurwicz, Ph. D. Thesis, Université Paris VI (2010)
Raiffa, H.: Decision Analysis: Introductory Lectures on Choices Under Uncertainty. Addison-Wesley, Reading (1968)
Savage, L.J.: The Foundations of Statistics. Dover Publications, New York (1972)
Shafer, G.: The Art of Causal Conjecture. MIT Press (1996)
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Dubois, D., Fargier, H., Guillaume, R., Thierry, C. (2015). Deciding under Ignorance: In Search of Meaningful Extensions of the Hurwicz Criterion to Decision Trees. In: Grzegorzewski, P., Gagolewski, M., Hryniewicz, O., Gil, M. (eds) Strengthening Links Between Data Analysis and Soft Computing. Advances in Intelligent Systems and Computing, vol 315. Springer, Cham. https://doi.org/10.1007/978-3-319-10765-3_1
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DOI: https://doi.org/10.1007/978-3-319-10765-3_1
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-10764-6
Online ISBN: 978-3-319-10765-3
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