Abstract
Three facets of subjective preferences have played central roles in economics. They are the qualitative structure of an agent’s preferences, numerical representations of preferences, and the use of numerical representations or utility functions in economic analysis. We consider various representations and their ties to qualitative preference structures.
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Bibliography
Allais, M. 1953. Le comportement de l’homme rationnel devant le risque: critique des postulats et axiomes de l’école Americaine. Econometrica 21: 503–546.
Bernoulli, D. 1738. Specimen theoriae novae de mensura sortis. Commentarii Academiae Scientarium Imperialis Petropolitanae 5: 175–192. Trans. Sommer, L. 1954. Econometrica 22: 23–36.
Cantor, G. 1895. Beiträge zur Begründung der Transfinite Mengenlehre. Mathematische Annalen 46: 481–512. and 49 (1897), 207–246. English translation: Contributions to the founding of the theory of transfinite numbers. New York: Dover, n.d.
Chew, S.H. 1983. A generalization of the quasilinear mean with applications to the measurement of income inequality and decision theory resolving the Allais paradox. Econometrica 51: 1065–1092.
Chipman, J.S. 1960. The foundations of utility. Econometrica 28: 193–224.
Debreu, G. 1964. Continuity properties of Paretian utility. International Economic Review 5: 285–293.
Debreu, G., and T.C. Koopmans. 1982. Additively decomposed quasiconvex functions. Mathematical Programming 24: 1–38.
de Finetti, B. 1937. La prévision: ses logiques, ses sources subjectives. Annales de l’Institut Henri Poincaré 7: 1–68. Trans. Kyburg, H.E. 1964. Studies in subjective probability, ed. H.E. Kyburg and H.E. Smokler, 93–158. New York: Wiley.
Dyer, J.S., and R.K. Sarin. 1979. Measurable multiattribute value functions. Operations Research 27: 810–822.
Ellsberg, D. 1961. Risk, ambiguity, and the savage axioms. Quarterly Journal of Economics 75: 643–669.
Farquhar, P.H. 1975. A fractional hypercube decomposition theorem for multiattribute utility functions. Operations Research 23: 941–967.
Farquhar, P.H. 1978. Interdependent criteria in utility analysis. In Multiple criteria problem solving, ed. S. Zionts, 131–180. Berlin: Springer.
Fishburn, P.C. 1970a. Utility theory for decision making. New York: Wiley.
Fishburn, P.C. 1970b. Intransitive indifference in preference theory: A survey. Operations Research 18: 207–228.
Fishburn, P.C. 1974. Lexicographic orders, utilities, and decision rules: A survey. Management Science 20: 1442–1471.
Fishburn, P.C. 1977. Multiattribute utilities in expected utility theory. In Conflicting objectives in decisions, ed. D.E. Bell, R.L. Keeney, and H. Raiffa, 172–194. New York: Wiley.
Fishburn, P.C. 1980. Lexicographic additive differences. Journal of Mathematical Psychology 21: 191–218.
Fishburn, P.C. 1981. Subjective expected utility: A review of normative theories. Theory and Decision 13: 139–199.
Fishburn, P.C. 1982a. The foundations of expected utility. Dordrecht: Reidel.
Fishburn, P.C. 1982b. Nontransitive measurable utility. Journal of Mathematical Psychology 26: 31–67.
Fishburn, P.C. 1983. Transitive measurable utility. Journal of Economic Theory 31: 293–317.
Fishburn, P.C. 1984. SSB utility theory and decision-making under uncertainty. Mathematical Social Sciences 8: 253–285.
Fishburn, P.C. 1985. Interval orders and interval graphs. New York: Wiley.
Fishburn, P.C., and P.H. Farquhar. 1982. Finite-degree utility independence. Mathematics of Operations Research 7: 348–353.
Fishburn, P.C., and A. Rubinstein. 1982. Time preference. International Economic Review 23: 677–694.
Houthakker, H.S. 1961. The present state of consumption theory. Econometrica 29: 704–740.
Kahneman, D., and A. Tversky. 1979. Prospect theory: An analysis of decision under risk. Econometrica 47: 263–291.
Keeney, R.L., and H. Raiffa. 1976. Decisions with multiple objectives: Preferences and value tradeoffs. New York: Wiley.
Kirkwood, C.W., and R.K. Sarin. 1980. Preference conditions for multiattribute value functions. Operations Research 28: 225–232.
Koopmans, T.C. 1960. Stationary ordinal utility and impatience. Econometrica 28: 287–309.
Koopmans, T.C., P.A. Diamond, and R.E. Williamson. 1964. Stationary utility and time perspective. Econometrica 32: 82–100.
Krantz, D.H., R.D. Luce, P. Suppes, and A. Tversky. 1971. Foundations of measurement. Volume I: Additive and polynomial representations. New York: Academic.
Loomes, G., and R. Sugden. 1982. Regret theory: An alternative theory of rational choice under uncertainty. Economic Journal 92: 805–824.
Luce, R.D. 1978. Lexicographic tradeoff structures. Theory and Decision 9: 187–193.
Machina, M.J. 1982. ‘Expected utility’ analysis without the independence axiom. Econometrica 50: 277–323.
Mas-Colell, A. 1974. An equilibrium existence theorem without complete or transitive preferences. Journal of Mathematical Economics 1: 237–246.
Samuelson, P.A. 1947. Foundations of economic analysis. Cambridge, MA: Harvard University Press.
Savage, L.J. 1954. The foundations of statistics, 2nd rev. ed. New York: Wiley. Dover Publications, 1972.
Schmeidler, D. 1984. Subjective probability and expected utility without additivity. Preprint no. 84, Institute for Mathematics and its Applications, University of Minnesota.
Sondermann, D. 1980. Utility representations for partial orders. Journal of Economic Theory 23: 183–188.
Stigler, G.J. 1950. The development of utility theory I, II. Journal of Political Economy 58: 307–327; 373–396.
Tversky, A. 1969. Intransitivity of preferences. Psychological Review 76: 31–48.
von Neumann, J., and O. Morgenstern. 1944. Theory of games and economic behavior. Princeton: Princeton University Press; 2nd ed, 1947; 3rd ed, 1953.
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Fishburn, P.C. (2018). Representation of Preferences. In: The New Palgrave Dictionary of Economics. Palgrave Macmillan, London. https://doi.org/10.1057/978-1-349-95189-5_1326
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DOI: https://doi.org/10.1057/978-1-349-95189-5_1326
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