Abstract
This paper examines a decision making under uncertainty criterion first introduced by Starr, which differs from the classical criteria. The rationale and properties of this criterion, called the Domain criterion, are discussed and compared with the traditional approaches of Wald, Hurwicz, Savage and Laplace. The computational complexity and usefulness of the criterion are discussed, as well as the underlying decision philosophy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Arrow, K. J.: 1951, ‘Alternative Approaches to the Theory of Choice in Risk-Taking Situations’, Econometrica 19, 404–438.
Benson, P. G. and Nichols, M. L.: 1982, ‘An Investigation of Motivational Bias in Subjective Predictive Probability Distributions’, Decision Sciences 13, 225–239.
Blin, J. -M.: 1976, ‘How Relevant are Irrelevant Alternatives?’, Theory and Decision 7, 95–105.
Box, G. E. and Tiao, G. C.: 1973, Bayesian Inference in Statistical Analysis, Addison-Wesley, Reading, Mass.
Carnap, R.: 1950, Logical Foundations of Probability, Univ. of Chicago Press, Chicago, pp. 562–577.
Chernoff, Herman: 1954, ‘Rational Selection of Decision Functions’, Econometrica 2, 422–443.
Cohen, J. and Hickey, T.: 1979, ‘Two Algorithms for Determining Volumes of Convex Polyhedra’, Journal of the Association for Computing Machinery 26, 401–414.
Coombs, C. H.: 1964, ‘Intransitivity of Preferences: A Test of Unfolding Theory’, in C. H. Coombs, A Theory of Data, Wiley, New York, pp. 106–118.
Edwards, W., Lindman, H. and Phillips, L. D.: 1965, ‘Emerging Technologies for Making Decisions’, New Directions in Psychology, Vol. II, Holt, Rinehart and Winston, New York, pp. 303–319.
Huber, G. P.: 1974, ‘Methods for Quantifying Subjective Probabilities and Multiattribute Utilities’, Decision Sciences 5, 430–458.
Jaynes, E. T.: 1968, ‘Prior Probabilities’, IEEE Transactions on Systems Science and Cybernetics SSC-4, 227–241.
Keynes, J. M.: 1921, A Treatise on Probability, Macmillan and Co., London.
Krantz, D. H.: 1968, ‘A Survey of Measurement Theory’, Mathematics of the Decision Sciences, Vol. 2 (Edited by Dantzig, G. B. and Veinott, A. F.), Vol. 12 of Lectures in Applied Mathematics, Amer. Math. Society, Providence, R.I., pp. 314–350.
Luce, R. D. and Raiffa, H.: 1957, Games and Decisions, Wiley, New York, pp. 275–309.
Marschak et al.: 1975, ‘Personal Probabilities of Probabilities’, Theory and Decision 6, 121–153.
Milnor, John: 1954, ‘Games Against Nature’, Decision Processes (Edited by Throll, Coombs and Davis), Wiley, New York, pp. 49–60.
Potter, J. M. and Anderson, B. D. O.: 1980, ‘Partial Prior Information and Decision-Making’, IEEE Transactions on Systems, Man and Cybernetics SMC-10, 125–133.
Schneller, George and Sphicas, Georghios: 1981, ‘Mixed Dominance in Decision Matrices’, under review for INFORS.
Starr, M. K.: 1962, Product Design and Decision Theory, Prentice-Hall, Englewood Cliffs, N.J.
Starr, M. K.: 1966, ‘A Discussion of Some Normative Criteria for Decision-Making Under Uncertainty’, Industrial Management Review 8, 71–78.
Tintner, G.: 1949, ‘Foundations of Probability and Statistical Inference’, Journal of the Royal Statistical Society, Series A112, Part 3, 251–279.
Tversky, Amos: 1972, ‘Choice by Elimination’, J. of Mathematical Psychology 9, 341–367.
Tversky, A. and Kahneman, D.: 1974, ‘Judgment Under Uncertainty: Heuristics and Biases’, Science 1124–1131.
Tversky, A. and Kahneman, D.: 1981, ‘The Framing of Decisions and the Psychology of Choice’, Science 211, 453–458.
Walster, E. and Festinger, L.: 1964, ‘Decisions among Imperfect Alternatives’, in Conflict, Decision and Dissonance, L. Festinger, Taristock Publications, London.
Zeleny, M.: 1982, Multiple Criterion Decision Making, McGraw-Hill, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schneller, G.O., Sphicas, G.P. Decision making under uncertainty: Starr's Domain criterion. Theor Decis 15, 321–336 (1983). https://doi.org/10.1007/BF00162111
Issue Date:
DOI: https://doi.org/10.1007/BF00162111