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Multiattribute utility theory: A survey

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Bibliography

  1. Adams, E. W.: 1965, ‘Elements of a theory of inexact measurement’, Philosophy of Science 32, pp. 205–228.

    Google Scholar 

  2. Arrow, K. J.: 1963, Social Choice and Individual Values, 2nd ed. (Wiley, New York).

    Google Scholar 

  3. Arrow, K. J.: 1977, ‘Extended sympathy and the possibility of social choice’, American Economic Review 67, pp. 219–225.

    Google Scholar 

  4. Bacharach, M.: 1975, ‘Group decisions in the face of differences of opinion’, Management Science 22, pp. 182–191.

    Google Scholar 

  5. Chipman, J. S.: 1960, ‘The foundations of utility’, Econometrica 28, pp. 193–224.

    Google Scholar 

  6. Chipman, J. S.: 1971, ‘On the lexicographic representation of preference orderings’, in J. S. Chipman, L. Hurwics, M. K. Richter, and H. F. Sonnenschein (eds.), Preferences, Utility and Demand (Harcourt Brace Jovanovich, New York).

    Google Scholar 

  7. D'Aspremont, C. and Gevers, L.: 1977, ‘Equity and the informational basis of collective choice’, Review of Economic Studies 64(2), pp. 199–209.

    Google Scholar 

  8. Debreu, G.: 1960, ‘Topological methods in cardinal utility theory’, in K. J. Arrow, S. Karlin, and P. Suppes (eds.), Mathematical Methods in the Social Sciences (Stanford, University Press, Stanford).

    Google Scholar 

  9. Diamond, P. A.: 1965, ‘The evaluation of infinite utility streams’, Econometrica 33, pp. 170–177.

    Google Scholar 

  10. Farqhuar, P. H.: 1975, ‘A fractional hypercube decomposition theorem for multiattribute utility functions’, Operations Research 23, pp. 941–674.

    Google Scholar 

  11. Farqhuar, P. H.: 1976, ‘Pyramid and semicube decompositions of multiattribute utility functions’, Operations Research 24, pp. 256–271.

    Google Scholar 

  12. Farqhuar, P. H.: 1977, ‘A survey of multiattribute utility theory and applications’, in M. K. Starr and M. Zeleny (eds.), Multiple Criteria Decision Making (TIMS Studies in the Management Sciences, North Holland, New York).

    Google Scholar 

  13. Fischer, G. W.: 1975, ‘Experimental applications of multiattribute utility models’, in D. Wendt and C. Vlek (eds.), Utility Probability and Human Decision Making (Reidel, Boston).

    Google Scholar 

  14. Fishburn, P. C.: 1965, ‘Independence in utility theory with whole product sets’, Operations Research 13, pp. 28–45.

    Google Scholar 

  15. Fishburn, P. C.: 1968, ‘Utility theory’, Management Science 14, pp. 335–378.

    Google Scholar 

  16. Fishburn, P. C.: 1969, ‘Preferences, summation, and social welfare functions’, Management Science 16, pp. 179–186.

    Google Scholar 

  17. Fishburn, P. C.: 1970, Utility Theory for Decision Making (Wiley, New York).

    Google Scholar 

  18. Fishburn, P. C.: 1970, ‘Intransitive indifference with unequal indifference intervals’, Journal of Mathematical Psychology 17, pp. 144–149.

    Google Scholar 

  19. Fishburn, P. C.: 1971, ‘Additive representations of real-valued functions on subsets of product sets’, Journal of Mathematical Psychology 8, pp. 382–388.

    Google Scholar 

  20. Fishburn, P.C.: 1971, ‘One-way expected utility with finite consequence spaces’, Annals of Mathematical Statistics 42, pp. 572–577.

    Google Scholar 

  21. Fishburn, P. C.: 1971, ‘A study of lexicographic expected utility’, Management Science 17, pp. 672–678.

    Google Scholar 

  22. Fishburn, P. C.: 1973, ‘Interval representation for interval orders and semiorders’, Journal of Mathematical Psychology 10, pp. 91–105.

    Google Scholar 

  23. Fishburn, P. C.: 1973, ‘Bernoullian utilities for multiple factor situations’, in J. Cochrane and M. Zeleny (eds.), Multiple Criteria Decision Making (University of South Carolina Press, Columbia).

    Google Scholar 

  24. Fishburn, P. C.: 1973, The Theory of Social Choice (Princeton University Press, Princeton).

    Google Scholar 

  25. Fishburn, P. C.: 1974, ‘Von Neumann-Morgenstern utility functions on two attributes’, Operations Research 22, pp. 35–45.

    Google Scholar 

  26. Fishburn, P. C.: 1974, ‘Lexicographic orders, utilities and decision rules: A survey’, Management Science 20, pp. 1442–1471.

    Google Scholar 

  27. Fishburn, P. C.: 1975, ‘Bounded one-way expected utility’, Econometrica 43, pp. 867–875.

    Google Scholar 

  28. Fishburn, P. C.: 1976, ‘Representable choice functions’, Econometrica 44, pp. 1033–1043.

    Google Scholar 

  29. Fishburn, P. C. and Keeney, R. L.: 1974, ‘Seven independence concepts and continuous multiattribute utility functions’, Journal of Mathematical Psychology 11, pp. 294–327.

    Google Scholar 

  30. Fishburn, P. C. and Keeney, R. L.: 1975, ‘Generalized utility independence and some implications’, Operations Research 23, pp. 928–940.

    Google Scholar 

  31. Fleming, M.: 1952, ‘A cardinal concept of welfare’, Quarterly Journal of Economics 66, pp. 366–384.

    Google Scholar 

  32. Hammond, P. J.: 1976, ‘Equity, Arrow's conditions, and Rawls' difference principle’, Econometrica 44, pp. 793–804.

    Google Scholar 

  33. Harsanyi: 1955, ‘Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility’, Journal of Political Economy 63, pp. 309–321.

    Google Scholar 

  34. Hausner, M.: 1954, ‘Multidimensional utilities’, in R. M. Thrall, C. H. Coombs, and R. L. Davis (eds.), Decision Processes, (Wiley, New York).

    Google Scholar 

  35. Hausner, M. and Wendel, J. G.: 1952, ‘Ordered vector spaces’, Proceedings of the American Mathematical Society 3, pp. 977–982.

    Google Scholar 

  36. Herstein, I. N. and Milnor, J.: 1953, ‘An axiomatic approach to measurable utility’, Econometrica 21, pp. 291–297.

    Google Scholar 

  37. Huber, G. P.: 1974, ‘Multi-attribute utility models: A review of field and field-like studies’, Management Science 20, pp. 1393–1402.

    Google Scholar 

  38. Keeney, R. L.: 1971, ‘Utility independence and preferences for multiattributed consequences’, Operations Research 19, pp. 875–893.

    Google Scholar 

  39. Keeney, R. L.: 1972, ‘Utility functions for multiattributed consequences’, Management Science 18, pp. 276–287.

    Google Scholar 

  40. Keeney, R. L.: 1973, ‘Concepts of independence in multiattribute utility theory’, in J. L. Cochrane and M. Zeleny (ededs.), Multiple Criteria Decision Making (University of South Carolina Press, Columbia).

    Google Scholar 

  41. Keeney, R. L.: 1974, ‘Multiplicative utility functions’, Operations Research 22, pp. 22–34.

    Google Scholar 

  42. Keeney, R. L.: 1976, ‘Group preference axiomatization with cardinal utility’, Management Science 23, pp. 140–145.

    Google Scholar 

  43. Keeney, R. L. and Kirkwood, C. W.: 1975, ‘Group decision making using cardinal social welfare functions’, Management Science 22, pp. 430–437.

    Google Scholar 

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

    Google Scholar 

  45. Kirkwood, C. W.: 1976, ‘Parametrically dependent preferences for multiattributed consequences’, Operations Research 24, pp. 92–103.

    Google Scholar 

  46. Koopmans, T. C.: 1960, ‘Stationary ordinal utility and impatience’, Econometrica 28, pp. 287–309.

    Google Scholar 

  47. Koopmans, T. C., Diamond, P. A., and Williamson, R. E.: 1964, ‘Stationary utility and time perspective’, Econometrica 32, pp. 82–100.

    Google Scholar 

  48. Krantz, D. H., Luce, R. D., Suppes, P., and Tversk, A.: 1971, Foundations of Measurement, Vol. I (Academic Press, New York).

    Google Scholar 

  49. Krantz, D.H. and Tversky, A.: 1971, ‘Conjoint measurement analysis of composition rules in psychology’, Psychological Review 78, pp. 151–68.

    Google Scholar 

  50. Luce, R. D.: 1956, ‘Semiorders and a theory of utility discrimination’, Econometrica 24, pp. 178–191.

    Google Scholar 

  51. Luce, R. D.: 1966, ‘Two extensions of simultaneous conjoint measurement’, Journal of Mathematical Psychology 3, pp. 348–370.

    Google Scholar 

  52. Luce, R. D. and Raiffa, H.: 1957, Games and Decisions (Wiley, New York).

    Google Scholar 

  53. Luce, R. D. and Tukey, J. W.: 1964, ‘Simultaneous conjoint measurement: A new type of fundamental measurement’, Journal of Mathematical Psychology 1, pp. 1–27.

    Google Scholar 

  54. Meyer, R. F.: 1970, ‘On the relationship among the utility of assets, and utility of consumption and investment strategy in an uncertain, but time-invariant world’, inJ. Lawrence (ed.), OR 69: Proceedings of the Fifth International Conference on Operations Research (Tavistock Publications, London).

    Google Scholar 

  55. Pollak, R. A.: 1967, ‘Additive Von Neumann-Morgenstern utility functions’, Econometrica 35, pp. 485–494.

    Google Scholar 

  56. Raiffa, H.: 1969, ‘Preferences for multi-attributed alternatives’, Memorandum RM-5868-DOT/RC (The Rand Corporation, Santa Monica).

    Google Scholar 

  57. Richter, M. K.: 1966, ‘Revealed preference theory’, Econometrica 34, pp. 635–645.

    Google Scholar 

  58. Richter, M. K.: 1971, ‘Rational choice’, in J. S. Chipman, L. Hurwics, M. K. Richter, and H. F. Sonnenschein (eds.), Preferences, Utility and Demand (Harcourt Brace Jovanovich, New York).

    Google Scholar 

  59. Savage, L. J.: 1954, The Foundations of Statistics (Wiley, New York).

    Google Scholar 

  60. Scott, D.: 1964, ‘Measurement structures and linear inequalities’, Journal of Mathematical Psychology 1, pp. 233–247.

    Google Scholar 

  61. Scott, D. and Suppes, P.: 1958, ‘Foundational aspects of theories of measurements’, Journal of Symbolic Logic 23, pp. 113–128.

    Google Scholar 

  62. Sen, A.: 1969, ‘Quasi-transitivity, rational choice and collective decisions’, Review of Economic-Studies 36, pp. 381–394.

    Google Scholar 

  63. Sen, A.: 1970, Collective Choice and Social Welfare (Holden-Day, San Francisco).

    Google Scholar 

  64. Sen, A.: 1971, ‘Choice functions and revealed preference’, Review of Economic Studies 38, pp. 307–317.

    Google Scholar 

  65. Sen, A.: 1977, ‘Social choice theory: A re-examination’, Econometrica 45, pp. 53–89.

    Google Scholar 

  66. Sierpinski, W.: 1958, Cardinal and Ordinal Numbers (Paristwowe Wydawnictwo Naukowe, Warsaw).

    Google Scholar 

  67. Tversky, A.: 1964, ‘Finite additive structures’, Michigan Mathematical Psychology Program, MMPP 64–6 (University of Michigan, Ann Arbor).

    Google Scholar 

  68. Von Neumann, J. and Morgenstern, O.: 1947, Theory of Games and Economic Behavior, 2nd ed. (Princeton University Press, Princeton).

    Google Scholar 

  69. Von Winterfeldt, D. and Fischer, G. W.: 1975, ‘Multi-attribute utility theory: models and assessment procedures’, in D. Wendt and C. Vlek (eds.), Utility, Probability and Human Decision Making (Reidel, Boston).

    Google Scholar 

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Yilmaz, M.R. Multiattribute utility theory: A survey. Theor Decis 9, 317–347 (1978). https://doi.org/10.1007/BF00126471

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