Finite approximations to coherent choice

International Journal of Approximate Reasoning

Volumn 50, Issue 4, 2009, Pages 655-665

  Troffaes, Matthias C M ^a  

^a DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Decision making; E admissibility; Lower prevision; Maximality; Numerical analysis; Sensitivity analysis

Indexed keywords

DECISION MAKING;

CHOICE FUNCTIONS; CONVEX HULLS; CREDAL SETS; E-ADMISSIBILITY; EXTREME POINTS; LOSS FUNCTIONS; LOWER PREVISION; MAXIMALITY;

SENSITIVITY ANALYSIS;

EID: 62749186252     PISSN: 0888613X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijar.2008.07.001     Document Type: Article

References (18)

1. Fishburn P.C., Murphy A.H., and Isaacs H.H. Sensitivity of decisions to probability estimation errors: a reexamination. Operations Research 16 2 (1968) 254-267
2. Pierce D.A., and Folks J.L. Sensitivity of Bayes procedures to the prior distribution. Operations Research 17 2 (1969) 344-350
3. Walley P. Statistical Reasoning with Imprecise Probabilities (1991), Chapman and Hall, London
4. Bhaskara Rao K., and Bhaskara Rao M. Theory of Charges, a Study of Finitely Additive Measures (1983), Academic Press, London
5. von Neumann J., and Morgenstern O. Theory of Games and Economic Behavior (1944), Princeton University Press
6. Anscombe F.J., and Aumann R.J. A definition of subjective probability. Annals of Mathematical Statistics 34 1 (1963) 199-205
7. de Finetti B. Theory of Probability: a Critical Introductory Treatment (1974-1975), Wiley, New York two volumes
8. de Cooman G., and Troffaes M.C.M. Dynamic programming for deterministic discrete-time systems with uncertain gain. International Journal of Approximate Reasoning 39 2-3 (2005) 257-278
9. Troffaes M.C.M. Decision making under uncertainty using imprecise probabilities. International Journal of Approximate Reasoning 45 (2007) 17-29
10. Levi I. The Enterprise of Knowledge. An Essay on Knowledge, Credal Probability, and Chance (1980), MIT Press, Cambridge
11. Seidenfeld T., Schervish M.J., and Kadane J.B. A representation of partially ordered preferences. The Annals of Statistics 23 (1995) 2168-2217
12. J.B. Kadane, M.J. Schervish, T. Seidenfeld, A Rubinesque theory of decision, in: A Festschrift for Herman Rubin, vol. 45 of IMS Lecture Notes - Monograph Series, Inst. Math. Statist., Beachwood, Ohio, 2004, pp. 45-55.
13. Seidenfeld T., Schervish M., and Kadane J. Coherent choice functions under uncertainty. In: de Cooman G., Vejnarová J., and Zaffalon M. (Eds). ISIPTA'07: Proceedings of the Fifth International Symposium on Imprecise Probability: Theories and Applications (2007), Charles University, Faculty of Mathematics and Physics, Prague 385-394
14. Schechter E. Handbook of Analysis and Its Foundations (1997), Academic Press, San Diego
15. Holmes R. Geometric Functional Analysis and Its Applications (1975), Springer, New York
16. Hutter M. Robust estimators under the imprecise dirichlet model. In: Bernard J.-M., Seidenfeld T., and Zaffalon M. (Eds). ISIPTA'03 - Proceedings of the Third International Symposium on Imprecise Probabilities and Their Applications (2003), Carleton Scientific 274-289
17. Obermeier M., and Augustin T. Luceños' discretization method and its application in decision making under ambiguity. In: de Cooman G., Vejnarová J., and Zaffalon M. (Eds). ISIPTA'07: Proceedings of the Fifth International Symposium on Imprecise Probability: Theories and Applications (2007), Charles University, Faculty of Mathematics and Physics, Prague 327-336
18. Stanley R.P. Enumerative Combinatorics (1997), Cambridge University Press