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A Survey of Multiattribute/Multicriterion Evaluation Theories

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Multiple Criteria Problem Solving

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 155))

Abstract

The past decade has seen a dramatic increase in research on all main areas of multiple criteria decision making, including formal models of multicriterion choice, multicriterion evaluation theories, and multicriterion assessment methodologies.

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References

  • Ackoff, R. L. Scientific Method: Optimizing Applied Research Decisions. New York: Wiley, 1962.

    Google Scholar 

  • Adams, E. W. Elements of a theory of inexact measurement. Philosophy of Science 32 (1965), 205–228.

    Google Scholar 

  • Agnew, N. H., Agnew, R. A., Rasmussen, J. and Smith, K. R. An application of chance constrained programming to portfolio selection in a casualty insurance firm. Management Science 15 (1969), B512–B520.

    Google Scholar 

  • Alderfer, C. P. and Bierman, H., Jr. Choices with risk: beyond the mean and variance. Journal of Business 43 (1970), 341–353.

    Google Scholar 

  • Alt, F. Über die Messbarkeit des Nutzens. Zeitschrift fur National-ökonome 7 (1936), 161–169.

    Google Scholar 

  • Armstrong, W. E. Uncertainty and the utility function. Economic Journal 58 (1948), 1–10.

    Google Scholar 

  • Armstrong, W. E. A note on the theory of consumer’s behavior. Oxford Economic Papers 2 (1950), 119–122.

    Google Scholar 

  • Arrow, K. J. Social Choice and Individual Values. New York: Wiley, 1963.

    Google Scholar 

  • Arrow, K. J. Aspects of the Theory of Risk Bearing. Helsinki: Yrjö Jahssonin Säätiö, 1965.

    Google Scholar 

  • Arrow, K. J. and Scitovsky, T. (eds.) Readings in Welfare Economics. Homewood Illinois: Irwin, 1969.

    Google Scholar 

  • Aumann, R. J. Utility theory without the completeness axiom. Econometrica 30 (1962), 445–462.

    Google Scholar 

  • Aumann, R. J. Utility theory without the completeness axiom: a correction. Econometrica 32 (1964a), 210–212.

    Google Scholar 

  • Aumann, R. J. Subjective programming. In Shelly, M. W. and Bryan, G. L. (eds.) Human Judgments and Optimality. New York: Wiley, 1964b, 217–242.

    Google Scholar 

  • Balch, M. S. and Fishburn, P. C. Subjective expected utility for conditional primitives. In Balch, M. S., McFadden, D. L. and Wu, S. Y. (eds), Essays on Economic Behavior under Uncertainty. Amsterdam: North-Holland, 1974, 57–69.

    Google Scholar 

  • Barron, F. H. Using Fishburn’s techniques for analysis of decision trees: some examples. Decision Sciences 4 (1973), 247–267.

    Google Scholar 

  • Baumol, W. J. An expected gain-confidence limit criterion for portfolio selection. Management Science 10 (1963), 174–182.

    Google Scholar 

  • Bawa, V. S. Optimal rules for ordering uncertain prospects. Journal of Financial Economics 2 (1975), 95–121.

    Google Scholar 

  • Beals, R., Krantz, D. H. and Tversky, A. The foundations of multidimensional scaling. Psychological Review 75 (1968), 127–142.

    Google Scholar 

  • Bell, D. E. Evaluating time streams of income. OMEGA 2 (1974), 691–699.

    Google Scholar 

  • Benayoun, R., de Montgolfier, J., Tergny, J. and Laritchev, O. Linear programming with multiple objective functions: step method (STEM). Mathematical Programming 1 (1971), 366–375.

    Google Scholar 

  • Benayoun, R. and Tergny, J. Critères multiples en programmation mathématique: une solution dans le cas linéaire. Revue Francaise d’Informatique et de Recherche Opérationnelle 3 (1969), 31–56.

    Google Scholar 

  • Benson, H. P. and Morin, T. L. The vector maximization problem: proper efficiency and stability. SIAM Journal on Applied Mathematics 32 (1977), 64–72.

    Google Scholar 

  • Bergstresser, K., Charnes, A. and Yu, P. L. Generalization of domination structures and nondominated solutions in multicriteria decision making. Journal of Optimization Theory and Applications 18 (1976), 3–13.

    Google Scholar 

  • Bernard, G. and Besson, M. L. Douze methodes d’analyse multicritere. Revue Francaise d’Informatique et de Recherche Opérationnelle 5 (1971), 19–66.

    Google Scholar 

  • Bessler, S. A. and Veinott, A. F. Optimal policy for dynamic multi-echelon inventory models. Naval Research Logistics Quarterly 13 (1966), 355–389.

    Google Scholar 

  • Bickel, S. H. Minimum variance and optimal asymptotic portfolios. Management Science 16 (1969), 221–226.

    Google Scholar 

  • Blackwell, D. and Girshick, M. A. Theory of Games and Statistical Decisions. New York: Wiley, 1954.

    Google Scholar 

  • Bolker, E. D. Functions resembling quotients of measures. Transactions of the American Mathematical Society 124 (1966), 292–312.

    Google Scholar 

  • Bolker, E. D. A simultaneous axiomatization of utility and subjective probability. Philosophy of Science 34 (1967), 333–340.

    Google Scholar 

  • Borch, K. A note on utility and attitudes to risk. Management Science 9 (1963), 697–700.

    Google Scholar 

  • Borch, K. A note on uncertainty and indifference curves. Review of Economic Studies 36 (1969), 1–4.

    Google Scholar 

  • Borch, K. The rationale of the mean-standard deviation analysis: comment. American Economic Review 64 (1974), 428–430.

    Google Scholar 

  • Boyd, D. A methodology for analyzing decision problems involving complex preference assessments. Ph.D. dissertation, Stanford University, 1970.

    Google Scholar 

  • Bradley, S. and Frey, S. C, Jr. Bounds for preference function assessment. Management Science 21 (1975), 1308–1319.

    Google Scholar 

  • Brumelle, S. L. and Vickson, R. G. A unified approach to stochastic dominance. In Ziemba, W. T. and Vickson, R. G. (eds.), Stochastic Optimization Models in Finance. New York: Academic Press, 1975, 101–113.

    Google Scholar 

  • Burness, H. S. Impatience and the preference for advancement in the timing of satisfactions. Journal of Economic Theory 6 (1973), 495–507.

    Google Scholar 

  • Burness, H. S. On the role of separability assumptions in determining impatience implications. Econometrica 44 (1976), 67–78.

    Google Scholar 

  • Charnes, A. and Cooper, W. W. Management Models and Industrial Applications of Linear Programming. New York: Wiley, 1961.

    Google Scholar 

  • Charnes, A. and Cooper, W. W. Goal programming and constrained regression — a comment. OMEGA 3 (1975), 403–409.

    Google Scholar 

  • Charnes, A. and Cooper, W. W. Goal programming and multiple objective optimizations. Part 1. European Journal of Operational Research 1 (1977), 39–54.

    Google Scholar 

  • Charnes, A., Cooper, W. W., Klingman, D. and Niehaus, R. J. Explicit solutions in convex goal programming. Management Science 22 (1975), 438–448.

    Google Scholar 

  • Cheney, E. W. Introduction to Approximation Theory. New York: McGraw-Hill, 1966.

    Google Scholar 

  • Chernoff, H. Rational selection of decision functions. Econometrica 22 (1954), 422–443.

    Google Scholar 

  • Chipman, J. S. Stochastic choice and subjective probability. In Willner, D. (ed.), Decisions, Values and Groups, Vol. 1. New York: Pergamon Press, 1960a, 70–95.

    Google Scholar 

  • Chipman, J. S. The foundations of utility. Econometrica 28 (1960b), 193–224.

    Google Scholar 

  • Chipman, J. Discussion. American Economic Review 56 (1966), 45–47.

    Google Scholar 

  • Chipman, J. S. On the lexicographic representation of preference orderings. In Chipman, J. S., Hurwicz, L., Richter, M. K. and Sonnenschein, H. F. (eds.), Preferences, Utility, and Demand. New York: Harcourt Brace Jovanovich, 1971, 276–288.

    Google Scholar 

  • Chipman, J. S. The ordering of portfolios in terms of mean and variance. Review of Economic Studies 40 (1973), 167–190.

    Google Scholar 

  • Chipman, J. S., Hurwicz, L., Richter, M. K. and Sonnenschein, H. F. Preferences, Utility, and Demand. New York: Harcourt Brace Jovanovich, 1971.

    Google Scholar 

  • Churchman, C. W. and Ackoff, R. L. An approximate measure of value. Operations Research 2 (1954), 172–187.

    Google Scholar 

  • Coombs, C. H. A Theory of Data. New York: Wiley, 1964.

    Google Scholar 

  • Coombs, C. H. Portfolio theory and the measurement of risk. University of Michigan, MMPP 74–16, 1974.

    Google Scholar 

  • Coombs, C. H. and Huang, L. C. A portfolio theory of risk preference. University of Michigan, MMPP 68–5, 1968.

    Google Scholar 

  • DaCunha, N. O. and Polak, E. Constrained minimization under vector-valued criteria in finite dimensional spaces. Journal of Mathematical Analysis and Applications 19 (1967), 103–124.

    Google Scholar 

  • Davidson, D., McKinsey, J. C. C. and Suppes, P. Outlines of a formal theory of value, I. Philosophy of Science 22 (1955), 140–160.

    Google Scholar 

  • Davidson, D. and Suppes, P. A finitistic axiomatization of subjective probability and utility. Econometrica 24 (1956), 264–275.

    Google Scholar 

  • Davis, O. A., Hinich, M. J. and Ordeshook, P. C. An expository development of a mathematical model of the electoral process. American Political Science Review 64 (1970), 426–448.

    Google Scholar 

  • Davis, O. A., DeGroot, M. H. and Hinich, M. J. Social preference orderings and majority rule. Econometrica 40 (1972), 147–158.

    Google Scholar 

  • Dawes, R. M. Social selection based on multidimensional criteria. Journal of Abnormal and Social Psychology 68 (1964), 104–109.

    Google Scholar 

  • Dawes, R. M. and Corrigan, B. Linear models in decision making. Psychological Bulletin 81 (1974), 95–106.

    Google Scholar 

  • Debreu, G. Representation of a preference ordering by a numerical function. In Thrall, R. M., Coombs, C. H. and Davis, R. L. (eds.), Decision Processes. New York: Wiley, 1954, 159–165.

    Google Scholar 

  • Debreu, G. Theory of Value. New Haven, Connecticut: Yale University Press, 1959a.

    Google Scholar 

  • Debreu, G. Cardinal utility for even-chance mixtures of pairs of sure prospects. Review of Economic Studies 26 (1959b), 174–177.

    Google Scholar 

  • Debreu, G. Topological methods in cardinal utility theory. Mathematical Methods in the Social Sciences 1959. Stanford, California: Stanford University Press, 1960, 16–26.

    Google Scholar 

  • Debreu, G. Continuity properties of paretian utility. International Economic Review 5 (1964), 285–293.

    Google Scholar 

  • DeGroot, M. Optimal Statistical Decisions. New York: McGraw-Hill, 1970.

    Google Scholar 

  • Diamond, P. A. The evaluation of infinite utility streams. Econometrica 33 (1965), 170–177.

    Google Scholar 

  • Domar, E. D. and Musgrave, R. A. Proportional income taxation and risk-taking. Quarterly Journal of Economics 58 (1944), 389–422.

    Google Scholar 

  • Dyer, J. S. Interactive goal programming. Management Science 19 (1972), 62–70.

    Google Scholar 

  • Dyer, J. S. A time-sharing computer program for the solution of the multiple criteria problem. Management Science 19 (1973), 1379–1383.

    Google Scholar 

  • Dyer, J. S. and Sarin, R. K. An axiomatization of cardinal additive conjoint measurement theory. University of California, Los Angeles, 1977.

    Google Scholar 

  • Eckenrode, R. T. Weighting multiple criteria. Management Science 12 (1965), 180–192.

    Google Scholar 

  • Edwards, W. The theory of decision making. Psychological Bulletin 51 (1954), 380–417.

    Google Scholar 

  • Edwards, W. Social utilities. Engineering Economist (1972), 119–129.

    Google Scholar 

  • Einhorn, H. J. The use of nonlinear, noncompensatory models in decision making. Psychological Bulletin 73 (1970), 221–230.

    Google Scholar 

  • Einhorn, H. J. and Hogarth, R. M. Unit weighting schemes for decision making. Organizational Behavior and Human Performance 13 (1975), 171–192.

    Google Scholar 

  • Encarnacion, J., Jr. A note on lexicographical preferences. Econometrica 32 (1964a), 215–217.

    Google Scholar 

  • Encarnacion, J., Jr. Constraints and the firm’s utility function. Review of Economic Studies 31 (1964b), 113–120.

    Google Scholar 

  • Farquhar, P. H. A fractional hypercube decomposition theorem for multiattribute utility functions. Operations Research 23 (1975), 941–967.

    Google Scholar 

  • Farquhar, P. H. Pyramid and semicube decompositions of multiattribute utility functions. Operations Research 24 (1976), 256–271.

    Google Scholar 

  • Farquhar, P. H. A survey of multiattribute utility theory and applications. TIMS Studies in the Management Sciences 6 (1977), 59–89.

    Google Scholar 

  • Feldstein, M. S. Mean-variance analysis in the theory of liquidity preference and portfolio selection. Review of Economic Studies 36 (1969), 5–12.

    Google Scholar 

  • Ferguson, C. E. The theory of multidimensional utility analysis in relation to multiple-goal business behavior: a synthesis. Southern Economic Journal 32 (1965) 169–175.

    Google Scholar 

  • Fischer, G. W. Convergent validation of decomposed multi-attribute utility assessment procedures for risky and riskless decisions. Organizational Behavior and Human Performance 18 (1977), 295–315.

    Google Scholar 

  • Fishburn, P. C. Decision and Value Theory. New York: Wiley, 1964.

    Google Scholar 

  • Fishburn, P. C. Independence in utility theory with whole product sets. Operations Research 13 (1965a), 28–45.

    Google Scholar 

  • Fishburn, P. C. Markovian dependence in utility theory with whole product sets. Operations Research 13 (1965b), 238–257.

    Google Scholar 

  • Fishburn, P. C. Analysis of decisions with incomplete knowledge of probabilities. Operations Research 13 (1965c), 217–237.

    Google Scholar 

  • Fishburn, P. C. Decision under uncertainty: an introductory exposition. Journal of Industrial Engineering 17 (1966), 341–353.

    Google Scholar 

  • Fishburn, P. C. Methods of estimating additive utilities. Management Science 13 (1967), 435–453.

    Google Scholar 

  • Fishburn, P. C. Utility Theory for Decision Making. New York: Wiley, 1970a.

    Google Scholar 

  • Fishburn, P. C. Intransitive indifference in preference theory: a survey. Operations Research 18 (1970b), 207–228.

    Google Scholar 

  • Fishburn, P. C. Intransitive indifference with unequal indifference intervals. Journal of Mathematical Psychology 7 (1970c), 144–149.

    Google Scholar 

  • Fishburn, P. C. Utility theory with inexact preferences and degrees of preference. Synthese 21 (1970d), 204–221.

    Google Scholar 

  • Fishburn, P. C. Additive representations of real-valued functions on subsets of product sets. Journal of Mathematical Psychology 8 (1971), 382–388.

    Google Scholar 

  • Fishburn, P. C. Interdependent preferences on finite sets. Journal of Mathematical Psychology 9 (1972), 225–236.

    Google Scholar 

  • Fishburn, P. C. The Theory of Social Choice. Princeton, N. J.: Princeton University Press, 1973a.

    Google Scholar 

  • Fishburn, P. C. Binary choice probabilities: on the varieties of stochastic transitivity. Journal of Mathematical Psychology 10 (1973b), 327–352.

    Google Scholar 

  • Fishburn, P. C. Interval representations for interval orders and semiorders. Journal of Mathematical Psychology 10 (1973c), 91–105.

    Google Scholar 

  • Fishburn, P. C. Bernoullian utilities for multiple-factor situations. In Cochrane, J. L. and Zeleny, M. (eds.), Multiple Criteria Decision Making. Columbia, South Carolina: University of South Carolina Press, 1973d, 47–61.

    Google Scholar 

  • Fishburn, P. C. A mixture-set axiomatization of conditional subjective expected utility. Econometrica 4l (1973e), 1–25.

    Google Scholar 

  • Fishburn, P. C. Lexicographic orders, utilities and decision rules: a survey. Management Science 20 (1974a), 1442–1471.

    Google Scholar 

  • Fishburn, P. C. von Neumann-Morgenstern utility functions on two attributes. Operations Research 22 (1974b), 35–45.

    Google Scholar 

  • Fishburn, P. C. Convex stochastic dominance with continuous distribution functions. Journal of Economic Theory 7 (1974c), 143–158.

    Google Scholar 

  • Fishburn, P. C. Convex stochastic dominance with finite consequence sets. Theory and Decision 5 (1974d), 119–137.

    Google Scholar 

  • Fishburn, P. C. Axioms for lexicographic preferences. Review of Economic Studies 42 (1975a), 415–419.

    Google Scholar 

  • Fishburn, P. C. Unbounded expected utility. Annals of Statistics 3 (1975b), 884–896.

    Google Scholar 

  • Fishburn, P. C. Separation theorems and expected utilities. Journal of Economic Theory 11 (1975c), 16–34.

    Google Scholar 

  • Fishburn, P. C. Stochastic dominance: theory and applications. In White, D. J. and Bowen, K. C. (eds.), The Role and Effectiveness of Theories of Decision in Practice. London: Hodder and Stoughton, 1975d.

    Google Scholar 

  • Fishburn, P. C. On the foundations of mean-variance analysis. Mimeographed, The Pennsylvania State University, 1975e.

    Google Scholar 

  • Fishburn, P. C. Noncompensatory preferences. Synthese 33 (1976a), 393–403.

    Google Scholar 

  • Fishburn, P. C. Utility independence on subsets of product sets. Operations Research 24 (1976b), 245–255.

    Google Scholar 

  • Fishburn, P. C. Continua of stochastic dominance relations for bounded probability distributions. Journal of Mathematical Economics 3 (1976c), 295–311.

    Google Scholar 

  • Fishburn, P. C. Multiattribute utilities in expected utility theory. In Bell, D. E., Keeney, R. L. and Raiffa, H. (eds.), Conflicting Objectives. New York: Wiley, 1977a.

    Google Scholar 

  • Fishburn, P. C. Expected utility theories: a review note. In Henn, R. and Moeschlin, O. (eds.), Mathematical Economics and Game Theory: Essays in Honor of Oskar Morgenstern. Berlin and New York: Springer-Verlag, 1977b, 197–207.

    Google Scholar 

  • Fishburn, P. C. Approximations of two-attribute utility functions. Mathematics of Operations Research 2 (1977c), 30–44.

    Google Scholar 

  • Fishburn, P. C. Stochastic dominance without transitive preferences. The Pennsylvania State University, 1977d.

    Google Scholar 

  • Fishburn, P. C. Mean-risk analysis with risk associated with belowtarget returns. American Economic Review 67 (1977e), 116–126.

    Google Scholar 

  • Fishburn, P. C. Ordinal preferences and uncertain lifetimes. Econometrica 46 (1978).

    Google Scholar 

  • Fishburn, P. C. and Keeney, R. L. Seven independence concepts and continuous multiattribute utility functions. Journal of Mathematical Psychology 11 (1974), 294–327.

    Google Scholar 

  • Fishburn, P. C. and Keeney, R. L. Generalized utility independence and some implications. Operations Research 23 (1975), 928–940.

    Google Scholar 

  • Fishburn, P. C, Murphy, A. H. and Isaacs, H. H. Sensitivity of decisions to probability estimation errors: a reexamination. Operations Research 16 (1968), 254–267.

    Google Scholar 

  • Fishburn, P. C. and Vickson, R. G. Theoretical foundations of stochastic dominance. In Whitmore, G. A. and Findlay, M. C. (eds.), Stochastic Dominance: An Approach to Decision Making Under Risk. Lexington, Mass.: D. C. Heath and Co., 1977.

    Google Scholar 

  • Frisch, R. Sur une probleme d’economie pure. Norsk Mathematish Forenings Skrifter 1 (1926), 1–40.

    Google Scholar 

  • Galanter, E. The direct measurement of utility and subjective probability. American Journal of Psychology 75 (1962), 208–220.

    Google Scholar 

  • Geoffrion, A. M. Proper efficiency and the theory of vector maximization. Journal of Mathematical Analysis and Applications 22 (1968), 6l8–630.

    Google Scholar 

  • Geoffrion, A. Vector maximal decomposition programming. Working paper No. 164, University of California, Los Angeles, 1970.

    Google Scholar 

  • Geoffrion, A. M., Dyer, J. S. and Feinberg, A. An interactive approach for multi-criterion optimization, with an application to the operation of an academic department. Management Science 19 (1972), 357–368.

    Google Scholar 

  • Georgescu-Roegen, N. Choice, expectations and measurability. Quarterly Journal of Economics 68 (1954), 503–534.

    Google Scholar 

  • Georgescu-Roegen, N. Utility. International Encyclopedia of the Social Sciences 16 (1968), 236–267.

    Google Scholar 

  • Goldberg, L. R. Man versus model of man: just how conflicting is that evidence? Organizational Behavior and Human Performance 16 (1976), 13–22.

    Google Scholar 

  • Goodman, L. A. On methods of amalgamation. In Thrall, R. M., Coombs, C. H. and Davis, R. L. (eds.), Decision Processes. New York: Wiley, 1954, 39–48.

    Google Scholar 

  • Gorman, W. M. Symposium on Aggregation: the structure of utility functions. Review of Economic Studies 35 (1968), 367–390.

    Google Scholar 

  • Green, P. E. and Wind, Y. Multiattribute Decisions in Marketing. Hinsdale, Illinois: Dryden Press, 1973.

    Google Scholar 

  • Gulliksen, H. Measurement of subjective values. Psychometrika 21 (1956), 229–244.

    Google Scholar 

  • Hadar, J. and Russell, W. R. Rules for ordering uncertain prospects. American Economic Review 59 (1969), 25–34.

    Google Scholar 

  • Hadar, J. and Russell, W. R. Stochastic dominance and diversification. Journal of Economic Theory 3 (1971), 288–305.

    Google Scholar 

  • Hanoch, G. and Levy, H. The efficiency analysis of choices involving risk. Review of Economic Studies 36 (1969), 335–346.

    Google Scholar 

  • Hardy, G. E., Littlewood, J. E. and Polya, G. Inequalities. Cambridge, England: Cambridge University Press, 1934. (Second edition, 1967)

    Google Scholar 

  • Hausdorff, F. Set Theory. Chelsea, New York, 1957. (Translated from the third (1937) German edition of Mengenlehre.)

    Google Scholar 

  • Hausner, M. Multidimensional utilities. In Thrall, R. M., Coombs, C. H. and Davis, R. L. (eds.), Decision Processes. New York: Wiley, 1954, 167–180.

    Google Scholar 

  • Herstein, I. N. and Milnor, J. An axiomatic approach to measurable utility. Econometrica 21 (1953), 291–297.

    Google Scholar 

  • Hirsch, G. Logical foundations, analysis and development of multi-criterion methods. Ph.D. dissertation, University of Pennsylvania, 1976.

    Google Scholar 

  • Hogan, W. W. and Warren, J. M. Computation of the efficient boundary in the E-S portfolio selection model. Journal of Financial and Quantitative Analysis 7 (1972), 1881–1896.

    Google Scholar 

  • Hogan, W. W. and Warren, J. M. Toward the development of an equilibrium capital-market model based on semivariance. Journal of Financial and Quantitative Analysis 9 (1974), 1–11.

    Google Scholar 

  • Hogarth, R. M. (with comments by Winkler, R. L. and Edwards, W.) Cognitive processes and the assessment of subjective probability distributions. Journal of the American Statistical Association 70 (1975), 271–294.

    Google Scholar 

  • Houthakker, H. S. Revealed preference and the utility function. Economica 17 (1950), 159–174.

    Google Scholar 

  • Houthakker, H. S. The present state of consumption theory. Econometrica 29 (1961), 704–740.

    Google Scholar 

  • Huber, G. P. Methods for quantifying subjective probabilities and multiattribute utilities. Decision Sciences 5 (1974), 430–458.

    Google Scholar 

  • Jaffray, J.-Y. On the extension of additive utilities to infinite sets. Journal of Mathematical Psychology 11 (1974), 431–452.

    Google Scholar 

  • Jeffrey, R. C. The Logic of Decision. New York: McGraw-Hill, 1965.

    Google Scholar 

  • Johnsen, E. Studies in Multiobjectiye Decision Models. Lund, Sweden: Student-litteratur, 1968.

    Google Scholar 

  • Johnson, E. A. and Huber, G. P. The technology of utility assess­ment. University of Wisconsin, 1976.

    Google Scholar 

  • Joy, O. M. and Barron, F. H. Behavioral risk constraints in capital budgeting. Journal of Financial and Quantitative Analysis 9 (1974), 763.

    Google Scholar 

  • Kahneman, D. and Tversky, A. Subjective probability: a judgment of representativeness. Cognitive Psychology 3 (1972), 430–454.

    Google Scholar 

  • Kahneman, D. and Tversky, A. On the psychology of prediction. Psychological Review 80 (1973), 237–251.

    Google Scholar 

  • Kannai, Y. Existence of a utility in infinite dimensional partially ordered spaces. Israel Journal of Mathematics 1 (1963), 229–234.

    Google Scholar 

  • Keeney, R. L. Quasi-separable utility functions. Naval Research Logistics Quarterly 15 (1968), 551–565.

    Google Scholar 

  • Keeney, R. L. Utility independence and preferences for multiattributed consequences. Operations Research 19 (1971), 875–893.

    Google Scholar 

  • Keeney, R. L. Utility functions for multiattributed consequences. Management Science 18 (1972), 276–287.

    Google Scholar 

  • Keeney, R. L. Risk independence and multiattributed utility functions. Econometrica 4l (1973), 27–34.

    Google Scholar 

  • Keeney, R. L. and Raiffa, H. Decisions with Multiple Objectives: Preferences and Value Tradeoffs. New York: Wiley, 1976.

    Google Scholar 

  • Kirkwood, Craig W. Parametrically dependent preferences for multi-attributed consequences. Operations Research 24 (1976), 92–103.

    Google Scholar 

  • Kneppreth, N. P., Gustafson, D., Leifer, R. P. and Johnson, E. M. Techniques for the assessment of worth. U. S. Army Research Institute for the Behavioral and Social Sciences, 1974.

    Google Scholar 

  • Koopmans, T. C. Stationary ordinal utility and impatience. Econometrica 28 (1960), 287–309.

    Google Scholar 

  • Koopmans, T. C. Representation of preference orderings with independent components of consumption. In McGuire, C. B. and Radner, R. (eds.), Decision and Organization. North-Holland Publishing Co., 1972a, 57–78.

    Google Scholar 

  • Koopmans, T. C. Representation of preference orderings over time. In McGuire, C. B. and Radner, R. (eds.), Decision and Organization. North-Holland Publishing Co., 1972b, 79–100.

    Google Scholar 

  • Koopmans, T. C, Diamond, P. A. and Williamson, R. E. Stationary utility and time perspective. Econometrica 32 (1964), 82–100.

    Google Scholar 

  • Kornbluth, J. S. H. A survey of goal programming. OMEGA 1 (1973), 193–205.

    Google Scholar 

  • Krantz, D. H. Conjoint measurement: the Luce-Tukey axiomatization and some extensions. Journal of Mathematical Psychology 1 (1964), 248–277.

    Google Scholar 

  • Krantz, D. H., Luce, R. D., Suppes, P. and Tversky, A. Foundations of Measurement. New York: Academic Press, 1971.

    Google Scholar 

  • Lancaster, K. J. A new approach to consumer theory. Journal of Political Economy 14 (1966), 132–157.

    Google Scholar 

  • Lancaster, K. J. Consumer Demand: A New Approach. New York: Columbia University Press, 1971.

    Google Scholar 

  • Lancaster, K. The theory of household behavior: some foundations. Annals of Economic and Social Measurement 4 (1975), 5–21.

    Google Scholar 

  • Laplace, Pierre Simon de. Essai philosophique sur les probabilités. Paris, 1814;

    Google Scholar 

  • Laplace, Pierre Simon de. A Philosophical Essay on Probabilities (translation). New York: Dover Publications, 1951.

    Google Scholar 

  • Cee, S. M. Goal Programming for Decision Analysis. Philadelphia: Auerbach Publishers, 1972.

    Google Scholar 

  • Lehmann, E. Ordered families of distributions. Annals of Mathematical Statistics 26 (1955), 399–419.

    Google Scholar 

  • Levhari, D., Paroush, J. and Peleg, B. Efficiency analysis for multi variate distributions. Review of Economic Studies 42 (1975), 87–91.

    Google Scholar 

  • Levy, H. The rationale of the mean-standard deviation analysis: comment. American Economic Review 64 (1974), 434–441.

    Google Scholar 

  • Levy, H. and Paroush, J. Toward multivariate efficiency criteria. Journal of Economic Theory 7 (1974a), 129–142.

    Google Scholar 

  • Levy, H. and Paroush, J. Multi-period stochastic dominance. Management Science 21 (1974b), 428–435.

    Google Scholar 

  • Libby, R. Man versus model of man: some conflicting evidence. Organizational Behavior and Human Performance 16 (1976a), 1–12.

    Google Scholar 

  • Libby, R. Man versus model of man: the need for a nonlinear model. Organizational Behavior and Human Performance 16 (1976b), 23–26.

    Google Scholar 

  • Libby, R. and Fishburn, P. C. Behavioral models of risk taking in capital budgeting. Journal of Accounting Research (1977).

    Google Scholar 

  • Lichtenstein, S. Bases for preferences among three-outcome bets. Journal of Experimental Psychology 67 (1965), 162–169.

    Google Scholar 

  • Lichtenstein, S. and Slovic, P. Reversals of preference between bids and choices in gambling decisions. Journal of Experimental Psychology 89 (1971), 46–55.

    Google Scholar 

  • Lintner, J. The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Review of Economics and Statistics 47 (1965), 13–37.

    Google Scholar 

  • Lorentz, G. G. Approximation of Functions. New York: Holt, Rinehart and Winston, 1966.

    Google Scholar 

  • Luce, R. D. Semiorders and a theory of utility discrimination. Econometrica 24 (1956), 178–191.

    Google Scholar 

  • Luce, R. D. A probabilistic theory of utility. Econometrica 26 (1958), 193–224.

    Google Scholar 

  • Luce, R. D. Individual Choice Behavior. New York: Wiley, 1959.

    Google Scholar 

  • Luce, R. D. Two extensions of conjoint measurement. Journal of Mathematical Psychology 3 (1966), 348–370.

    Google Scholar 

  • Luce, R. D. Three axiom systems for additive semiordered structures. SIAM Journal on Applied Mathematics 25 (1973), 41–53.

    Google Scholar 

  • Luce, R. D. Lexicographic tradeoff structures. Mimeographed, Harvard University, 1977.

    Google Scholar 

  • Luce, R. D. and Krantz, D. H. Conditional expected utility. Econometrica 39 (1971), 253–271.

    Google Scholar 

  • Luce, R. D. and Raiffa, H. Games and Decisions. New York: Wiley, 1957.

    Google Scholar 

  • Luce, R. D. and Suppes, P. Preference, utility and subjective probability. In Luce, R. D., Bush, R. R. and Galanter, E. (eds.), Handbook of Mathematical Psychology, Vol. III. New York: Wiley, 1965, 249–410.

    Google Scholar 

  • Luce, R. D. and Tukey, J. W. Simultaneous conjoint measurement: a new type of fundamental measurement. Journal of Mathematical Psychology 1 (1964), 1–27.

    Google Scholar 

  • MacCrimmon, K. R. An overview of multiple objective decision making. In Cochrane, J. L. and Zeleny, M. (eds.), Multiple Criteria Decision Making. Columbia, South Carolina: University of South Carolina Press, 1973, 18–44.

    Google Scholar 

  • MacCrimmon, K. R. and Siu, J. K. Making trade-offs. Decision Sciences 5 (1974), 680–704.

    Google Scholar 

  • MacCrimmon, K. R. and Toda, M. The experimental determination of indifference curves. Review of Economic Studies 36 (1969), 433–451.

    Google Scholar 

  • Machol, R. E. and Lerner, E. M. Risk, ruin, and investment analysis. Journal of Financial and Quantitative Analysis 4 (1969), 473–492.

    Google Scholar 

  • Mao, J. C. T. Survey’ of capital budgeting: theory and practice. Journal of Finance 25 (1970a), 349–360.

    Google Scholar 

  • Mao, J. C. T. Models of capital budgeting, E-V vs E-S. Journal of Financial and Quantitative Analysis 4 (1970b), 657–675.

    Google Scholar 

  • Markowitz, H. Portfolio selection. Journal of Finance 7 (1952), 77–91.

    Google Scholar 

  • Markowitz, H. Portfolio Selection. New York: Wiley, 1959.

    Google Scholar 

  • Marley, A. A. J. Some probabilistic models of simple choice and ranking. Journal of Mathematical Psychology 5 (1968), 311–332.

    Google Scholar 

  • Marschak, J. Rational behavior, uncertain prospects, and measurable utility. Econometrica 18 (1950), 111–141.

    Google Scholar 

  • Marschak, J. Binary-choice constraints and random utility indicators. Mathematical Methods in the Social Sciences 1959. Stanford, California: Stanford University Press, 1960, 312–329.

    Google Scholar 

  • May, K. O. Intransitivity, utility, and the aggregation of preference patterns. Econometrica 22 (1954), 1–13.

    Google Scholar 

  • Meyer, J. Choice among distributions. Journal of Economic Theory 14 (1977), 326–336.

    Google Scholar 

  • Meyer, R. P. On the relationship among the utility of assets, the utility of consumption, and investment strategy in an uncertain, but time-invariant, world. In Lawrence, J. (ed.), Proceedings of the Fifth International Conference on Operational Research. London: Tavistock, 1970, 627–648.

    Google Scholar 

  • Meyer, R. F. Preferences over time. In Bell, D. E., Keeney, R. L. and Raiffa, H. (eds.), Conflicting Objectives. New York: Wiley, 1977.

    Google Scholar 

  • Meyer, R. F. and Pratt, J. W. The consistent assessment and fairing of preference functions. IEEE Transactions on Systems Science and Cybernetics SSC-4 (1968), 270–278.

    Google Scholar 

  • Milnor, J. Games against nature. In Thrall, R. M., Coombs, C. H. and Davis, R. L. (eds.), Decision Processes. New York: Wiley, 1954, 49–59.

    Google Scholar 

  • Mirkin, B. G. Description of some relations on the set of real-line intervals. Journal of Mathematical Psychology 9 (1972), 243–252.

    Google Scholar 

  • Morrison, H. W. Intransitivity of paired comparison choices. Ph.D. dissertation, The University of Michigan, 1962.

    Google Scholar 

  • Narens, L. Minimal conditions for additive conjoint measurement and qualitative probability. Journal of Mathematical Psychology 11 (1974), 404–430.

    Google Scholar 

  • Narens, L. and Luce, R. D. The algebra of measurement. Journal of Pure and Applied Algebra 8 (1976), 197–233.

    Google Scholar 

  • Payne, J. W. Alternative approaches to decision making under risk: moments versus risk dimensions. Psychological Bulletin 80 (1973), 439–453.

    Google Scholar 

  • Payne, J. W. Relation of perceived risk to preferences among gambles. Journal of Experimental Psychology: Human Perception and Performance 104 (1975), 86–94.

    Google Scholar 

  • Pekelman, D. and Sen, S. Mathematical programming models for the determination of attribute weights. Management Science 20 (1974), 1217–1229.

    Google Scholar 

  • Peleg, B. Efficient random variables. Journal of Mathematical Economics 2 (1975), 243–252.

    Google Scholar 

  • Pfanzagl, J. A general theory of measurement: applications to utility. Naval Research Logistics Quarterly 6 (1959), 283–294.

    Google Scholar 

  • Philip, J. Algorithms for the vector maximization problem. Mathematical Programming 2 (1972), 207–229.

    Google Scholar 

  • Plott, C. R., Little, J. T. and Parks, R. P. Individual choice when objects have “ordinal” properties. Review of Economic Studies 42 (1975), 403–413.

    Google Scholar 

  • Pollak, R. A. Additive von Neumann-Morgenstern utility functions. Econometrica 35 (1967), 485–494.

    Google Scholar 

  • Pollak, R. A. The risk independence axiom. Econometrica 41 (1973), 35–39.

    Google Scholar 

  • Pollatsek, A. and Tversky, A. A theory of risk. Journal of Mathematical Psychology 7 (1970), 540–553.

    Google Scholar 

  • Porter, R. B. Semivariance and stochastic dominance: a comparison. American Economic Review 64 (1974), 200–204.

    Google Scholar 

  • Pratt, J. W. Risk aversion in the small and in the large. Econometrica 32 (1964), 122–136.

    Google Scholar 

  • Pratt, J. W., Raiffa, H. and Schlaifer, R. The foundations of decision under uncertainty: an elementary exposition. Journal of the American Statistical Association 59 (1964), 353–375.

    Google Scholar 

  • Pruitt, D. G. Pattern and level of risk in gambling decisions. Psychological Review 69 (1962), 187–201.

    Google Scholar 

  • Quandt, R. E. A probabilistic theory of consumer behavior. Quarterly Journal of Economics 70 (1956), 507–536.

    Google Scholar 

  • Quirk, J. P. and Saposnik, R. Admissibility and measurable utility functions. Review of Economic Studies 29 (1962), 140–146.

    Google Scholar 

  • Raiffa, H. Preferences for multi-attributed alternatives. Memorandum RM-5868–DOT. Santa Monica, California: The Rand Corporation, 1959.

    Google Scholar 

  • Ramsey, F. P. Truth and probability. In P. P. Ramsey, The Foundations of Mathematics and Other Logical Essays. New York: Harcourt, Brace and Co., 1931. Reprinted in Kyburg, H. E. and Smokier, H. E. (eds.), Studies in Subjective Probability. New York: Wiley, 1964, 61–92.

    Google Scholar 

  • Rapoport, A. and Wallsten, T. S. Individual decision behavior. Annual Review of Psychology 23 (1972), 131–176.

    Google Scholar 

  • Reder, M. W. A reconsideration of the marginal productivity theory. Journal of Political Economy 55 (1947), 450–458.

    Google Scholar 

  • Richter, M. K. Revealed preference theory. Econometrica 34 (1966), 635–645.

    Google Scholar 

  • Roberts, F. S. On nontransitive indifference. Journal of Mathematical Psychology 7 (1970), 243–258.

    Google Scholar 

  • Roberts, F. S. Homogeneous families of semiorders and the theory of probabilistic consistency. Journal of Mathematical Psychology 8 (1971), 248–263.

    Google Scholar 

  • Roskies, R. A measurement axiomatization for an essentially multiplicative representation of two factors. Journal of Mathematical Psychology 2 (1965), 266–276.

    Google Scholar 

  • Rothschild, M. and Stiglitz, J. E. Increasing risk: I. A definition. Journal of Economic Theory 2 (1970), 225–243.

    Google Scholar 

  • Roy, A. D. Safety first and the holding of assets. Econometrica 20 (1952), 431–449.

    Google Scholar 

  • Roy, B. Problems and methods with multiple objective functions. Mathematical Programming 1 (1971), 239–266.

    Google Scholar 

  • Roy, B. How outranking relation helps multiple criteria decision making. In Cochrane, J. L. and Zeleny, M. (eds.), Multiple Criteria Decision Making. Columbia, South Carolina: University of South Carolina Press, 1973, 179–201.

    Google Scholar 

  • Roy, B. Critères multiples et modelisation des préférences (D’apport des relations de surclassement). Revue D’Économie Politique 84 (1974), 1–44.

    Google Scholar 

  • Samuelson, P. A. A note on the pure theory of consumer’s behaviour. Economica 5 (1938), 61–71.

    Google Scholar 

  • Samuelson, P. A. Consumption theory in terms of revealed preference. Economica 15 (1948), 243–253.

    Google Scholar 

  • Samuelson, P. A. General proof that diversification pays. Journal of Financial and Quantitative Analysis 2 (1967), 1–13.

    Google Scholar 

  • Samuelson, P. A. The fundamental approximation theorem of portfolio analysis in terms of means, variances and higher moments. The Review of Economic Studies 37 (1970), 537–542.

    Google Scholar 

  • Samuelson, P. A. and Merton, R. C. Generalized mean-variance trade-offs for best perturbation corrections to approximate portfolio decisions. The Journal of Finance 29 (1974), 27–40.

    Google Scholar 

  • Saska, J. Lineární multiprogramorání. Ekonomicko-Matematicky Obzor 4 (1968), 359–373.

    Google Scholar 

  • Savage, L. J. The theory of statistical decision. Journal of the American Statistical Association 46 (1951), 55–67.

    Google Scholar 

  • Savage, L. J. The Foundations of Statistics. New York: Wiley, 1954; New York: Dover Publications, 1972.

    Google Scholar 

  • Savage, L. J. Elicitation of personal probabilities and expectations. Journal of the American Statistical Association 66 (1971), 783.

    Google Scholar 

  • Savage, L. J. Elicitation of personal probabilities and expectations. Journal of the American Statistical Association 66 (1971), 80l.

    Google Scholar 

  • Sayeki, Y. Allocation of importance: an axiom system. Journal of Mathematical Psychology 9 (1972), 55–65.

    Google Scholar 

  • Sayeki, Y. and Vesper, K. H. Allocation of importance in a hierarchical goal structure. Management Science 19 (1973), 667–675.

    Google Scholar 

  • Schwartz, T. Rationality and the myth of the maximum. Noûs 6 (1972), 97–117.

    Google Scholar 

  • Scott, D. Measurement structures and linear inequalities. Journal of Mathematical Psychology 1 (1964), 233–247.

    Google Scholar 

  • Scott, D. and Suppes, P. Foundational aspects of theories of measurement. Journal of Symbolic Logic 23 (1958), 113–128.

    Google Scholar 

  • Sen, A. K. Collective Choice and Social Welfare. San Francisco: Holden-Day, 1970.

    Google Scholar 

  • Shafer, W. J. Preference relations for rational demand functions. Journal of Economic Theory 11 (1975), 444–455.

    Google Scholar 

  • Sharpe, W. F. Capital asset prices: a theory of market equilibrium under conditions of risk. Journal of Finance 19 (1964), 425–442.

    Google Scholar 

  • Sherman, S. On a theorem of Hardy, Littlewood, Polya, and Blackwell. Proceedings of the National Academy of Sciences 37 (1951), 826–831.

    Google Scholar 

  • Shubik, M. Objective functions and models of corporate optimization. Quarterly Journal of Economics 75 (1961), 345–375.

    Google Scholar 

  • Siegel, S. A method for obtaining an ordered metric scale. Psychometrika 21 (1956), 207–216.

    Google Scholar 

  • Simon, H. A. A behavioral model of rational choice. Quarterly Journal of Economics 69 (1955), 99–118.

    Google Scholar 

  • Slovic, P. The relative influence of probabilities and payoffs upon perceived risk of a gamble. Psychonomic Science 9 (1967), 223–224.

    Google Scholar 

  • Slovic, P., Fischhoff, B. and Lichtenstein, S. Behavioral decision theory. Annual Review of Psychology (1977).

    Google Scholar 

  • Slovic, P. and Lichtenstein, S. Relative importance of probabilities and payoffs in risk taking. Journal of Experimental Psychology 78 (1968), 1–18.

    Google Scholar 

  • Slovic, P. and Lichtenstein, S. Comparison of Bayesian and regression approaches to the study of information processing in judgment. Organizational Behavior and Human Performance 6 (1971), 649–744.

    Google Scholar 

  • Smith, L. H., Lawless, R. W. and Shenoy, B. Evaluating multiple criteria—models for two-criteria situations. Decision Sciences 5 (1974), 587–596.

    Google Scholar 

  • Srinivasan, V. and Shocker, A. D. Linear programming techniques for multidimensional analysis of preferences. Psychometrika 38 (1973a), 337–369.

    Google Scholar 

  • Srinivasan, V. and Shocker, A. D. Estimating the weights for multiple attributes in a composite criterion using pairwise judgments. Psychometrika 38 (1973b), 473–493.

    Google Scholar 

  • Srinivasan, V., Shocker, A. D. and Weinstein, A. G. Measurement of a composite criterion of managerial success. Organizational Behavior and Human Performance 9 (1973), l47–167.

    Google Scholar 

  • Stimson, D. H. Utility measurement in public health decision making. Management Science 16 (1969), B17–B30.

    Google Scholar 

  • Stone, B. K. A general class of three-parameter risk measures. Journal of Finance 28 (1973), 675–685.

    Google Scholar 

  • Strassen, V. The existence of probability measures with given marginals. Annals of Mathematical Statistics 36 (1965), 423–439.

    Google Scholar 

  • Suppes, P. The role of subjective probability and utility in decision-making. Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability 5 (1956), 61–73.

    Google Scholar 

  • Suppes, P. and Winet, M. An axiomatization of utility based on the notion of utility differences. Management Science 1 (1955), 259–270.

    Google Scholar 

  • Suppes, P. and Zinnes, J. L. Basic measurement theory. In Luce, R. D., Bush, R. R. and Galanter, E. (eds.), Handbook of Mathematical Psychology, Vol. I. New York: Wiley, 1963, 1–76.

    Google Scholar 

  • Tell, B. A Comparative Study of Some Multiple-Criteria Methods. Stockholm: Economic Research Institute, Stockholm School of Economics, 1976.

    Google Scholar 

  • Tesfatsion, L. Stochastic dominance and the maximization of expected utility. Review of Economic Studies 43 (1976), 301–315.

    Google Scholar 

  • Thurstone, L. L. The indifference function. Journal of Social Psychology 2 (1931), 139–167.

    Google Scholar 

  • Tobin, J. The theory of portfolio selection. In Hahn, F. H. and Brechling, F. P. R. (eds.), The Theory of Interest Rates. London: Macmillan, 1965, 3–51.

    Google Scholar 

  • Tsiang, S. C. The rationale of the mean-standard deviation analysis, skewness preference, and the demand for money. American Economic Review 62 (1972), 354–371.

    Google Scholar 

  • Tsiang, S. C. The rationale of the mean-standard deviation analysis: reply and errata for original article. American Economic Review 64 (1974), 442–450.

    Google Scholar 

  • Tversky, A. Finite additive structures. Mathematical Psychology Program, University of Michigan, 1964.

    Google Scholar 

  • Tversky, A. Intransitivity of preferences. Psychological Review 76 (1969), 31–48.

    Google Scholar 

  • Tversky, A. Elimination by aspects: a theory of choice. Psychological Review 79 (1972a), 281–299.

    Google Scholar 

  • Tversky, A. Choice by elimination. Journal of Mathematical Psychology 9 (1972b), 341–367.

    Google Scholar 

  • Tversky, A. and Kahneman, D. Availability: a heuristic for judging frequency and probability. Cognitive Psychology 5 (1973), 207–232.

    Google Scholar 

  • Tversky, A. and Kahneman, D. Judgment under uncertainty: heuristics and biases. Science 185 (1974), 1124–1131.

    Google Scholar 

  • Van Moeseke, P. Stochastic linear programming. Yale Economic Essays 5 (1965), 196–254.

    Google Scholar 

  • Van Moeseke, P. Towards a theory of efficiency. In Quirk, J. and Zarley, A. M. (eds.), Papers in Quantitative Economics. St. Louis, Missouri: University of Kansas Press, 1968, 1–30.

    Google Scholar 

  • Vickson, R. G. Stochastic dominance for decreasing absolute risk aversion. Journal of Financial and Quantitative Analysis 10 (1975a), 799–811.

    Google Scholar 

  • Vickson, R. G. Stochastic dominance tests for decreasing absolute risk aversion. I. Discrete random variables. Management Science 21 (1975b), 1438–1446.

    Google Scholar 

  • Vickson, R. G. Stochastic orderings from partially known utility functions. University of Waterloo, 1976.

    Google Scholar 

  • Vickson, R. G. Stochastic dominance tests for decreasing absolute risk-aversion. II. General random variables. Management Science 23 (1977), 478–489.

    Google Scholar 

  • von Neumann, J. and Morgenstern, O. Theory of Games and Economic Behavior. Princeton, New Jersey: Princeton University Press,

    Google Scholar 

  • Wainer, H. Estimating coefficients in linear models: it don’t make no nevermind. Psychological Bulletin 83 (1976), 213–217.

    Google Scholar 

  • Wald, A. Statistical Decision Functions. New York: Wiley, 1950.

    Google Scholar 

  • Weinstein, A. A. Individual preference intransitivity. Southern Economic Journal 34 (1968), 335–343.

    Google Scholar 

  • Whitmore, G. A. Third-degree stochastic dominance. American Economic Review 60 (1970), 457–459.

    Google Scholar 

  • Whitmore, G. A. and Findlay, M. C. (eds.) Stochastic Dominance: An Approach to Decision making under Risk. Lexington, Massachusetts: D. C. Heath and Co., 1977.

    Google Scholar 

  • Wilkie, W. L. and Pessemier, E. A. Issues in marketing’s use of multi-attribute attitude models. Journal of Marketing Research 10 (1973), 428–441.

    Google Scholar 

  • Williams, A. C. and Nassar, J. I. Financial measurement of capital investments. Management Science 12 (1966), 851–864.

    Google Scholar 

  • Winkler, R. L. The assessment of prior distributions in Bayesian analysis. Journal of the American Statistical Association 62 (1967a), 776–800.

    Google Scholar 

  • Winkler, R. L. The quantification of judgment: some methodological suggestions. Journal of the American Statistical Association 62 (1967b), 1105–1120.

    Google Scholar 

  • Winkler, R. L. and Murphy, A. H. Experiments in the laboratory and the real world. Organizational Behavior and Human Performance 10 (1973), 252–270.

    Google Scholar 

  • Yu, P. L. Cone convexity, cone extreme points, and nondominated solutions in decision problems with multiobjectives. Journal of Optimization Theory and Applications 14 (1974), 319–377.

    Google Scholar 

  • Yu, P. L. and Zeleny, M. The set of all nondominated solutions in linear cases and a multicriteria simplex method. Journal of Mathematical Analysis and Applications 49 (1975), 430–468.

    Google Scholar 

  • Yu, P. L. and Zeleny, M. Linear multiparametric programming by multi-criteria simplex method. Management Science 23 (1976), 159–170.

    Google Scholar 

  • Zeleny, M. Linear Multiobjective Programming. New York: Springer-Verlag, 1974.

    Google Scholar 

  • Zeleny, M. MCDM bibliography — 1975. In Zeleny, M. (ed.), Multiple Criteria Decision Making: Kyoto 1975. New York: Springer-Verlag, 1976a, 291–321.

    Google Scholar 

  • Zeleny, M. The attribute-dynamic attitude model (ADAM). Management Science 23 (1976b), 12–26.

    Google Scholar 

  • Zionts, S. and Wallenius, J. An interactive programming method for solving the multiple criteria problem. Management Science 22 (1976), 652–663.

    Google Scholar 

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Fishburn, P.C. (1978). A Survey of Multiattribute/Multicriterion Evaluation Theories. In: Zionts, S. (eds) Multiple Criteria Problem Solving. Lecture Notes in Economics and Mathematical Systems, vol 155. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46368-6_9

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