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References

Abbas, M. (1995) Any complete preference structure without circuit admits an interval representation, Theory and Decision 39 115-126.
Abbas, M. and P. Vincke (1993) Preference structures and threshold models, Journal of Multi-Criteria Decision Analysis 2 171-178.
Allias, M. (1953) Le comportement de l'homme rationnel devant le risque: Critique des postulats et axiomes de l'école américaine, Econometrica 21 503-546.
Anscombe, F. J. and R. J. Aumann (1963) A definition of subjective probability, Annals of Mathematical Statistics 34 199-205.
Arrow, K. J. (1950) Social choice and individual values, first edition. Second edition (1963): New York, Wiley.
Beja, A. and I. Gilboa (1992) Numerical representations of imperfectly ordered preferences (a unified geometric exposition), Journal of Mathematical Psychology 36 426-449.
Bernoulli, D. (1738) Specimen theoriae novae de mensura sortis, Commentarii Academiae Scientiarum Imperialis Petropolitanae 5 175-192. Translated by L. Sommer, Econometrica 22 (1954) 23-36.
Bogart, K. P. and A. N. Trenk (1994) Bipartite tolerance orders, Discrete Mathematics 132 11-22.
Borda, Jean-Charles de (1781) Mémoire sur les élections au scrutin, Histoire de l'Académie Royale des Sciences.
Bosi, G. and R. Isler (1995) Representing preferences with nontransitive indifference by a single real-valued function, Journal of Mathematical Economics 24 621-631.
Chateauneuf, A. (1987) Continuous representation of a preference relation on a connected topological space, Journal of Mathematical Economics 16 139-146.
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.
Cho, Y. and R. D. Luce (1996) Tests of hypotheses about certainty equivalents and joint receipt of gambles, Organizational Behavior and Human Decision Processes.
Cho, Y., R. D. Luce and D. von Winterfeldt (1994) Tests of assumptions about the joint receipt of games in rank- and sign-dependent utility theory, Journal of Experimental Psychology: Human Perception and Performance 20 931-943.
Condorcet, Marquis de (1785) Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix. Paris.
Croon, M. A. (1984) The axiomatization of additive difference models for preference judgments, in E. Degreef and G. Van Buggenhaut (eds.), Trends in mathematical psychology. Amsterdam: North-Holland, pp. 193-207.
Debreu, G. (1959) Theory of value. New York: Wiley.
de Finetti, B. (1931) Sul significato soggettivo della probabilità, Fundamenta Mathematicae 17 298-329.
de Finetti, B. (1937) La prévision: ses lois logiques, ses sources subjectives, Annales de l'Institut Henri Poincaré 7 1-68. Translated by H. E. Kyburg Jr. in H. E. Kyburg Jr. and H. E. Smokler (eds.), Studies in subjective probability (1964). New York: Wiley, pp. 93-158.
Doignon, J.-P., B. Monjardet, M. Roubens and P. Vincke (1986) Biorder families, valued relations, and preference modelling, Journal of Mathematical Psychology 30 435-480.
Fishburn, P. C. (1967) Preference-based definitions of subjective probability, Annals of Mathematical Statistics 38 1605-1617.
Fishburn, P. C. (1968) Utility theory, Management Science 14 335-378.
Fishburn, P. C. (1970) Utility theory for decision making. New York: Wiley.
Fishburn, P. C. (1981) Subjective expected utility: a review of normative theories, Theory and Decision 13 139-199.
Fishburn, P. C. (1982) The foundations of expected utility. Dordrecht, Holland: Reidel.
Fishburn, P. C. (1983) Transitive measurable utility, Journal of Economic Theory 31 293-317.
Fishburn, P. C. (1985) Interval orders and interval graphs. New York: Wiley.
Fishburn, P. C. (1987) Interprofile conditions and impossibility. Chur, Switzerland: Harwood Academic.
Fishburn, P. C. (1988) Nonlinear preference and utility theory. Baltimore: Johns Hopkins University Press.
Fishburn, P. C. (1989) Human decision making and ordered sets, in I. Riral (ed.), Algorithms and order. Dordrecht, Holland: Kluwer Academic, pp. 437-465.
Fishburn, P. C. (1990) Continuous nontransitive additive conjoint measurement, Mathematical Social Sciences 20 165-193.
Fishburn, P. C. (1991a) Nontransitive preferences in decision theory, Journal of Risk and Uncertainty 4 113-134.
Fishburn, P. C. (1991b) Nontransitive additive conjoint measurement, Journal of Mathematical Psychology 35 1-40.
Fishburn, P. C. (1992a) Additive differences and simple preference comparisons, Journal of Mathematical Psychology 36 21-31.
Fishburn, P. C. (1992b) A general axiomatization of additive measurement with applications, Naval Research Logistics 39 741-755.
Fishburn, P. C. (1994) Utility and subjective probability, in R. J. Aumann and S. Hart (eds.), Handbook of game theory, volume 2. Amsterdam: North-Holland, pp. 1397-1435.
Fishburn, P. C. (1996a) Finite linear qualitative probability, Journal of Mathematical Psychology 40.
Fishburn, P. C. (1996b) Failures of cancellation conditions for additive linear orders, AT&T Research.
Fishburn, P. C. (1996c) Cancellation conditions for multiattribute preferences on finite sets, AT&T Research.
Fishburn, P. C. and G. A. Kochenberger (1979) Two-piece von Neumann-Morgenstern utility functions, Decision Sciences 10 503-518.
Fishburn, P. C. and I. H. LaValle (1987) A nonlinear, nontransitive and additive-probability model for decisions under uncertainty, Annals of Statistics 15 830-844.
Fishburn, P. C. and I. H. LaValle (1993) On matrix probabilities in nonarchimedean decision theory, Journal of Risk and Uncertainty 7 283-299.
Fishburn, P. C. and R. D. Luce (1995) Joint receipt and Thaler's hedonic editing rule, Mathematical Social Sciences 29 33-76.
Fishburn, P. C. and Y. Nakamura (1991) Nontransitive measurable utility with constant threshold, Journal of Mathematical Psychology 35 471-500.
Fishburn, P. C. and F. S. Roberts (1989) Uniqueness in finite measurement, in F. S. Roberts (ed.), Applications of combinatorics and graph theory to the biological and social sciences. New York: Springer-Verlag, pp. 103-137.
Fishburn, P. C. and P. Wakker (1995) The invention of the independence condition for preference, Management Science 41 1130-1144.
Gilboa, I. (1987) Expected utility with purely subjective non-additive probabilities, Journal of Mathematical Economics 16 65-88.
Hart, S. (1992) Games in extensive and strategic forms, in R. J. Aumann and S. Hart (eds.), Handbook of game theory, volume 1. Amsterdam: North-Holland, pp. 19-40.
Hausner, M. (1954) Multidimensional utilities, in R. M. Thrall, C. H. Coombs and R. L. Davis (eds.), Decision processes. New York: Wiley, pp. 167-180.
Jensen, N. E. (1967) An introduction to Bernoullian utility theory. I. Utility functions, Swedish Journal of Economics 69 163-183.
Kahneman, D. and A. Tversky (1979) Prospect theory: an analysis of decision under risk, Econometrica 47 263-291.
Kelley, J. L. and I. Namioka (1963) Linear topological spaces. Princeton: Van Nostrand.
Klee, V. (1969) Separation and support properties of convex sets -- a survey, in Control theory and the calculus of variations. New York: Academic Press, pp. 235-303.
Kraft, C. H., J. W. Pratt and A. Seidenberg (1959) Intuitive probability on finite sets, Annals of Mathematical Statistics 30 408-419.
Krantz, D. H., R. D. Luce, P. Suppes and A. Tversky (1971) Foundations of measurement, volume 1. New York: Academic Press.
Kreweras, G. (1961) Sur une possibilité de rationaliser les intransitivités, La Decision, Colloques Internationaux du Centre National de la Recherche Scientifique, pp. 27-32.
LaValle, I. H. and P. C. Fishburn (1991) Lexicographic state-dependent subjective expected utility, Journal of Risk and Uncertainty 4 251-269.
LaValle, I. H. and P. C. Fishburn (1992) State-independent subjective expected lexicographic utility, Journal of Risk and Uncertainty 5 217-240.
LaValle, I. H. and P. C. Fishburn (1996a) On the varieties of matrix probabilities in nonarchimedean decision theory, Journal of Mathematical Economics 25 33-54.
LaValle, I. H. and P. C. Fishburn (1996b) Structuring and assessing linear lexicographic utility, Journal of Risk and Uncertainty.
LaValle, I. H. and P. C. Fishburn (1996c) Structuring and assessing matrix-probability distributions. Tulane University, New Orleans, LA.
Linville, P. W. and G. W. Fischer (1991) Preferences for separating or combining events, Journal of Personality and Social Psychology 60 5-23.
Loomes, G. and R. Sugden (1987) Some implications of a more general form of regret theory, Journal of Economic Theory 41 270-287.
Luce, R. D. (1991) Rank- and sign-dependent linear utility models for binary gambles, Journal of Economic Theory 53 75-100.
Luce, R. D. (1995) Joint receipt and certainty equivalents of gambles, Journal of Mathematical Psychology 39 73-81.
Luce, R. D. and P. C. Fishburn (1991) Rank- and sign-dependent linear utility models for finite first-order gambles, Journal of Risk and Uncertainty 4 29-59.
Luce, R. D. and P. C. Fishburn (1995) A note on deriving rank-dependent utility using additive joint receipts, Journal of Risk and Uncertainty 11 5-16.
Luce, R. D., D. H. Krantz, P. Suppes and A. Tversky (1990) Foundations of measurement, volume 3. New York: Academic Press.
Luce, R. D. and L. Narens (1985) Classification of concatenation measurement structures according to scale type, Journal of Mathematical Psychology 29 1-72.
MacCrimmon, K. R. and S. Larsson (1979) Utility theory: axioms versus `paradoxes,' in M. Allais and O. Hagen (eds.), Expected utility hypotheses and the Allais paradox. Dordrecht, Holland: Reidel, pp. 333-409.
Machina, M. J. (1982) `Expected utility' analysis without the independence axiom, Econometrica 50 277-323.
Malinvaud, E. (1952) Note on von Neumann-Morgenstern's strong independence axiom, Econometrica 20 679.
May, K. O. (1954) Intransitivity, utility, and the aggregation of preference patterns, Econometrica 22 1-13.
Mitas, J. (1995) Interval orders based on arbitrary ordered sets, Discrete Mathematics 144 75-95.
Nakamura, Y. (1988) Expected utility with an interval ordered structure, Journal of Mathematical Psychology 32 298-312.
Narens, L. (1985) Abstract measurement theory. Cambridge, MA: MIT Press.
Nash, J. (1951) Non-cooperative games, Annals of Mathematics 54 286-295.
Peleg, B. (1970) Utility functions for partially ordered topological spaces, Econometrica 38 93-96.
Peris, J. E. and B. Subiza (1995) Demand correspondence for pseudo-transitive preferences, Mathematical Social Sciences 30 307-318.
Pfanzagl, J. (1968) Theory of measurement. New York: Wiley.
Pratt, J. W., H. Raiffa and R. Schlaifer (1964) The foundations of decision under uncertainty: an elementary exposition, Journal of the American Statistical Association 59 353-375.
Quiggin, J. (1993) Generalized expected utility theory: the rank-dependent model. Boston: Kluwer.
Ramsey, F. P. (1931) Truth and probability, in The foundations of mathematics and other logical essays. London: Routledge and Kegan Paul. Reprinted in H. E. Kyburg Jr. and H. E. Smokler (eds.), Studies in subjective probability (1964). New York: Wiley, pp. 61-92.
Roberts, F. S. (1979) Measurement theory. Reading: Addison-Wesley.
Savage, L. J. (1954) The foundations of statistics. New York: Wiley. Second revised edition (1972) New York: Dover Publications.
Schmeidler, D. (1989) Subjective probability and expected utility without additivity, Econometrica 57 571-587.
Scott, D. (1954) Measurement structures and linear inequalities, Journal of Mathematical Psychology 1 233-247.
Scott, D. and P. Suppes (1958) Foundational aspects of theories of measurement, Journal of Symbolic Logic 23 113-128.
Sloric, P. and S. Lichtenstein (1968) Importance of variance preferences in gambling decisions, Journal of Experimental Psychology 78 646-654.
Sondermann, D. (1980) Utility representations for partial orders, Journal of Economic Theory 23 183-188.
Suppes, P., D. H. Krantz, R. D. Luce and A. Tversky (1989) Foundations of measurement, volume 2. New York: Academic Press.
Szpilrajn, E. (1930) Sur l'extension de l'ordre partiel, Fundamenta Mathematicae 16 386-389.
Thaler, R. H. (1985) Mental accounting and consumer choice, Marketing Science 4 199-214.
Thaler, R. H. and E. Johnson (1990) Gambling with the house money or trying to break even: the effects of prior outcomes on risky choice, Management Science 36 643-660.
Tversky, A. (1969) Intransitivity of preferences, Psychological Review 76 31-48.
Tversky, A. and D. Kahneman (1986) Rational choice and the framing of decisions, in R. M. Hogarth and M. W. Reder (eds.), Rational choice. Chicago: University of Chicago Press, pp. 67-94.
Tversky, A. and D. Kahneman (1992) Advances in prospect theory: cumulative representation of uncertainty, Journal of Risk and Uncertainty 5 204-217.
Vincke, P. (1980) Linear utility functions on semiordered mixture spaces, Econometrica 48 771-775.
Vind, K. (1991) Independent preferences, Journal of Mathematical Economics 20 119-135.
von Neumann, J. and O. Morgenstern (1944) Theory of games and economic behavior. Princeton: Princeton University Press. Second edition (1947); third edition (1953).
Wakker, P. P. (1989) Additive representations of preferences. Dordrecht, Holland: Kluwer.
Wakker, P. P. and A. Tversky (1993) An axiomatization of cumulative prospect theory, Journal of Risk and Uncertainty 7 147-176.
Wiener, N. (1914) A contribution to the theory of relative position, Proceedings of the Cambridge Philosophical Society 17 441-449.


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