Stochastic dominance tests for ranking alternatives under ambiguity

European Journal of Operational Research

Volumn 95, Issue 1, 1996, Pages 139-154

  Langewisch, Andrew ^a   Choobineh, Fred ^b  

^a Department of Applied Human Sciences   (United States)

^b UNIVERSITY OF NEBRASKA LINCOLN   (United States)

Author keywords

Ambiguity; Decision analysis; Stochastic dominance

Indexed keywords

DECISION MAKING; MANAGEMENT; OPERATIONS RESEARCH; OPTIMIZATION; PROBABILITY;

AMBIGUITY; STOCHASTIC DOMINANCE;

DECISION THEORY;

EID: 0030284081     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/0377-2217(95)00172-7     Document Type: Article

References (33)

1. Bawa, V.S., "Stochastic dominance: A research bibliography", Management Science 28 (1982) 698-712.
2. Berkeley, D. and P. Humphreys, "Structuring decision problems and the 'bias heuristic'", Acta Psychologica 50 (1982) 201-252.
3. Camerer, C. and M. Weber, "Recent developments in modeling preferences: Uncertainty and ambiguity", Journal of Risk and Uncertainty 5 (1992) 325-370.
4. Curley, S.P. and J.F. Yates, "The center and range of the probability interval as factors affecting ambiguity preferences", Organizational Behavior and Human Decision Processes 36 (1985) 273-287.
5. Dempster, A.P., "Upper and lower probabilities induced by a multivalued mapping", Annals of Mathematical Statistics 38 (1967) 325-339.
6. Einhorn, J.J. and R.M. Hogarth, "Decision making under ambiguity", Journal of Business 59 (1986) S225-50.
7. Ellsberg, D., "Risk, ambiguity, and the Savage axioms", Quarterly Journal of Economics 75 (1961) 643-669.
8. Fellner, W. "Distortion of subjective probabilities as a reaction to uncertainty", Quarterly Journal of Economics 75 (1961) 670-694.
9. Fishburn, P., Decision and Value Theory, Wiley, New York, 1964.
10. Fishburn, P. and R. Vickson, "Theoretical foundations of stochastic dominance", in G.A. Whitmore and M.C. Findlay (eds.), Stochastic Dominance, Heath, Lexington, MA, 1978.
11. Franke, G., "Expected utility with ambiguous probabilities and 'irrational' parameters", Theory and Decision 9 (1978) 267-283.
12. French, S., "Uncertainty and imprecision: Modelling and analysis", Journal of the Operational Research Society 46 (1995) 70-79.
13. Friend, J. and A. Hickling, Planning Under Pressure: The Strategic Choice Approach, Pergamon Press, Oxford, 1987.
14. Frisch, D. and J. Baron, "Ambiguity and rationality", Journal of Behavioral Decision Making 1 (1988) 149-157.
15. Jaffray, J.-Y., "Linear utility theory for belief functions", Operations Research Letters 8 (1989) 107-112.
16. Kahn, B.E. and R.K. Sarin, "Modeling ambiguity in decisions under uncertainty", Journal of Consumer Research 15 (1988) 265-272.
17. Klir, G. and T. Folger, Fuzzy Sets, Uncertainty, and Information, Prentice-Hall, Englewood Cliffs, NJ, 1988.
18. Kmietowicz, Z.W., and A.D. Pearman, Decision Theory and Incomplete Knowledge, Gower Publishing, Aldershot, Hampshire, UK, 1981.
19. Langewisch, A., and F. Choobineh, "Proofs of stochastic dominance theorems in the presence of ambiguity", unpublished technical report, Department of Industrial and Management Systems Engineering, University of Nebraska-Lincoln, 1995.
20. Lavine, M., "Sensitivity in Bayesian statistics: The prior and the likelihood", Journal of the American Statistical Association 86 (1991) 396-399.
21. Levy, H., "Stochastic dominance and expected utility: Survey and analysis", Management Science 38/4 (1992) 555-593.
22. Rios Insua, D., Sensitivity Analysis in Multi-objective Decision Making, Lecture Notes in Economics and Mathematical Systems 347, Springer-Verlag, Berlin, 1990.
23. Rios Insua, D. and S. French, "A framework for sensitivity analysis in discrete multiobjective decision making", European Journal of Operational Research 54 (1991) 176-190.
24. Sarin, R.K., "Interactive evaluation and bound procedure for selecting multi-attribute alternatives", in: M. Starr and M. Zeleny (eds.), Multiple Criteria Decision Making, North-Holland, New York, 1977, 211-224.
25. Savage, L.J., The Foundations of Statistics, Wiley, New York, 1954.
26. Shafer, G., A Mathematical Theory of Evidence, Princeton University Press, Princeton, NJ, 1976.
27. Strat, T.M., "Decision analysis using belief functions", International Journal of Approximate Reasoning 4 (1990) 391-417.
28. Takeguchi, T., and H. Akashi, "Analysis of decisions under risk with incomplete knowledge", IEEE Transactions on Systems, Man, and Cybernetics SMC-14/4 (1984) 618-625.
29. Walley, P., Statistical Reasoning with Imprecise Probabilities, Monographs on Statistics and Applied Probability 42, Chapman and Hall, London, 1991.
30. Weber, M., "Decision making with incomplete information", European Journal of Operational Research 28 (1987) 44-57.
31. Weeks, J.K., "Stochastic dominance: A methodological approach to enhancing the conceptual foundations of operations management theory", Academy of Management Review 10/1 (1985) 31-38.
32. Whitmore, G.A., and M.C. Findlay, Stochastic Dominance, Heath, Lexington, MA, 1978.
33. Winkler, R., "Ambiguity, probability, preference, and decision analysis", Journal of Risk and Uncertainty 4 (1991) 285-297.