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The Making of Decision Theory

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Decision Science and Technology

Abstract

An unprecedented era in the development of decision theory occurred from the late 1940s to the early 1950s and culminated with an extraordinary number of important publications in 1954. This paper traces the background for this coming-of-age era through Ward Edwards’ 1954 review article, outlines other contributions of that year, accounts for the era’s creative surge, and sketches its effects on succeeding decades.

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References

  • Allais, M.: Fondements d’une théorie positive des choix comportant un risque et critique des postulats et axiomes de l’école américaine, Colloques Internationaux du CNRS, Econométrie XL (1953a), 257–332. Translated as: The foundations of a positive theory of choice involving risk and a criticism of the postulates and axioms of the American school, in Expected Utility Hypotheses and the Allais Paradox (ed M. Allais and O. Hagen), 27-145, Dordrecht, Holland: Reidel, 1979.

    Google Scholar 

  • Allais, M.: Le comportement de l’homme rationnel devant le risque: Critique des postulats et axiomes de l’école américaine, Econometrica 21 (1953b), 503–546.

    Google Scholar 

  • Anscombe, F. J. and R. J. Aumann: A definition of subjective probability, Annals of Mathematical Statistics 34 (1963), 199–205.

    Google Scholar 

  • Armstrong, W. E.: The determinateness of the utility function, Economic Journal 49 (1939), 453–467.

    Google Scholar 

  • Arrow, K. J.: Social Choice and Individual Values. New York: Wiley, 1951. (Second edition, 1963)

    Google Scholar 

  • Arrow, K. J.: Bernoulli utility indicators for distributions over arbitrary spaces, Technical Report 57, Department of Economics, Stanford University, 1958.

    Google Scholar 

  • Arrow, K. J.: Essays in the Theory of Risk Bearing. Amsterdam: North-Holland, 1974.

    Google Scholar 

  • Aumann, R. J.: Utility theory without the completeness axiom, Econometrica 30 (1962), 445–462. (Correction, 32 (1964), 210-212)

    Google Scholar 

  • Aumann, R. J.: Game theory, in The New Palgrave: A Dictionary of Economics (ed. J. Eatwell, M. Milgate and P. Newman), 460–482. New York: Stockton Press, 1987.

    Google Scholar 

  • Aumann, R. J. and S. Hart (eds.): Handbook of Game Theory, Volume 1. Amsterdam: Elsevier, 1992.

    Google Scholar 

  • Aumann, R. J. and S. Hart (eds.): Handbook of Game Theory, Volume 2. Amsterdam: Elsevier, 1994.

    Google Scholar 

  • Bernoulli, D.: Specimen theoriae novae de mensura sortis, Commentarii Academiae Scientiarum Imperialis Petropolitanae 5 (1738), 175–192. Translated by L. Sommer as: Exposition of a new theory on the measurement of risk, Econometrica 22 (1954), 23-36.

    Google Scholar 

  • Black, D.: The Theory of Committees and Elections. Cambridge, UK; Cambridge University Press, 1958.

    Google Scholar 

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

    Google Scholar 

  • Block, H.D. and J. Marschak: Random orderings and stochastic theories of responses, in Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling (ed. I. Olkin, S. G. Ghurye, W. Hoeffding, W. G. Madow and H.B. Mann), 97–132. Stanford, CA: Stanford University Press, 1960.

    Google Scholar 

  • Bosi, G. and R. Isler: Representing preferences with nontransitive indifference by a single real-valued function, Journal of Mathematical Economics 24 (1995), 621–631.

    Google Scholar 

  • Brams, S. J. and P. C. Fishburn: Approval Voting. Boston, MA: Birkhäuser, 1983.

    Google Scholar 

  • Camerer, C. and M. Weber: Recent developments in modeling preferences: uncertainty and ambiguity, Journal of Risk and Uncertainty 5 (1992), 325–370.

    Google Scholar 

  • Chateauneuf, A.: On the existence of a probability measure compatible with a total preorder on a Boolean algebra, Journal of Mathematical Economics 14 (1985), 43–52.

    Google Scholar 

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

    Google Scholar 

  • Chew S. H.: A generalization of the quasilinear mean with applications to the measurement of income inequality and decision theory resolving the Allais paradox, Econometrica 51 (1963), 1065–1092.

    Google Scholar 

  • Chichilnisky, G.: Continuous representation of preferences, Review of Economic Studies 47 (1980), 959–963.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Cohen, M. and J. C. Falmagne: Random utility representation of binary choice probabilities: a new class of necessary conditions, Journal of Mathematical Psychology 34 (1990), 88–94.

    Google Scholar 

  • Corbin, R. and A. A. J. Marley: Random utility models with equality: an apparent, but not actual, generalization of random utility models, Journal of Mathematical Psychology 11 (1974), 274–293.

    Google Scholar 

  • Coughlin, P. J.: Probabilistic Voting Theory. Cambridge, UK: Cambridge University Press, 1992.

    Google Scholar 

  • Critchlow, D. E., M. A. Fligner and J. S. Verducci: Probability models on rankings, Journal of Mathematical Psychology 35 (1991), 294–318.

    Google Scholar 

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

    Google Scholar 

  • Debreu, G.: Representation of a preference ordering by a numerical function, in Thrall, Coombs and Davis (1954), 159–165.

    Google Scholar 

  • Debreu, G.: Stochastic choice and cardinal utility, Econometrica 26 (1958), 440–444.

    Google Scholar 

  • Debreu, G.: Theory of Value. New York: Wiley, 1959.

    Google Scholar 

  • Debreu, G.: Topological methods in cardinal utility theory, in Mathematical Methods in the Social Sciences, 1959 (ed. K. J. Arrow, S. Karlin and P. Suppes), 16–26. Stanford, CA: Stanford University Press, 1960.

    Google Scholar 

  • Debreu, G.: Smooth preferences, Econometrica 40 (1972), 603–615. (Correction, 44 (1976), 831-832)

    Google Scholar 

  • Dempster, A. P.: Upper and lower probabilities induced by a multivalued mapping, Annals of Mathematical Statistics 38 (1967), 325–339.

    Google Scholar 

  • Doron, G. and R. Kronick: Single transferable vote: an example of a perverse social choice function, American Journal of Political Science 21 (1977), 303–311.

    Google Scholar 

  • Edwards, W.: Probability-preferences in gambling, American Journal of Psychology 66 (1953), 349–364.

    Google Scholar 

  • Edwards, W.: Probability preferences among bets with differing expected values, American Journal of Psychology 67 (1954a), 56–67.

    Google Scholar 

  • Edwards, W.: The reliability of probability preferences, American Journal of Psychology 67 (1954b), 68–95.

    Google Scholar 

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

    Google Scholar 

  • Edwards, W.: Personal communication, 1989.

    Google Scholar 

  • Edwards, W.: Unfinished tasks: a research agenda for behavioral decision theory, in Insights in Decision Making: A Tribute to Hillel J. Einhorn (ed. R. Hogarth). Chicago, IL: University of Chicago Press, 1990.

    Google Scholar 

  • Edwards, W. and D. von Winterfeldt: Decision Analysis and Behavioral Research. New York: Cambridge University Press, 1986.

    Google Scholar 

  • Ellsberg, D.: Classic and current notions of “measurable utility”, Economic Journal 64 (1954), 528–556.

    Google Scholar 

  • Ellsberg, D.: Risk, ambiguity, and the Savage axioms, Quarterly Journal of Economics 75 (1961), 643–669.

    Google Scholar 

  • Falmagne, J.-C: A representation theorem for finite random scale systems, Journal of Mathematical Psychology 18 (1978), 52–72.

    Google Scholar 

  • Farquharson, R.: Theory of Voting. New Haven, CT: Yale University Press, 1969.

    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 (1965), 28–45.

    Google Scholar 

  • Fishburn, P. C.: Bounded expected utility, Annals of Mathematical Statistics 38 (1967a), 1054–1060.

    Google Scholar 

  • Fishburn, P. C.: Preference-based definitions of subjective probability, Annals of Mathematical Statistics 38 (1967b), 1605–1617.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Fishburn, P. C.: Arrow’s impossibility theorem: concise proof and infinite voters, Journal of Economic Theory 2 (1970c), 103–106.

    Google Scholar 

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

    Google Scholar 

  • Fishburn, P. C.: On collective rationality and a generalized impossibility theorem, Review of Economic Studies 41 (1974a), 445–457.

    Google Scholar 

  • Fishburn, P. C.: Paradoxes of voting, American Political Science Review 68 (1974b), 537–546.

    Google Scholar 

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

    Google Scholar 

  • Fishburn, P. C.: Lexicographic additive differences, Journal of Mathematical Psychology 21 (1980), 191–218.

    Google Scholar 

  • Fishburn, P. C.: Subjective expected utility: a review of normative theories, Theory and Decision 13 (1981), 139–199.

    Google Scholar 

  • Fishburn, P. C.: The Foundations of Expected Utility. Dordrecht, Holland: Reidel, 1982a.

    Google Scholar 

  • Fishburn, P. C.: Nontransitive measurable utility, Journal of Mathematical Psychology 26 (1982b), 31–67.

    Google Scholar 

  • Fishburn, P. C.: Monotonicity paradoxes in the theory of elections, Discrete Applied Mathematics 4 (1982c), 119–134.

    Google Scholar 

  • Fishburn, P. C.: Transitive measurable utility, Journal of Economic Theory 31 (1983), 293–317.

    Google Scholar 

  • Fishburn, P. C.: Interval Orders and Interval Graphs: A Study of Partially Ordered Sets. New York: Wiley, 1985.

    Google Scholar 

  • Fishburn, P. C.: The axioms of subjective probability, Statistical Science 1 (1986), 345–355.

    Google Scholar 

  • Fishburn, P. C.: Nonlinear Preference and Utility Theory. Baltimore, MD: The Johns Hopkins University Press, 1988.

    Google Scholar 

  • Fishburn, P. C.: Retrospective on the utility theory of von Neumann and Morgenstern, Journal of Risk and Uncertainty 2 (1989a), 127–158.

    Google Scholar 

  • Fishburn, P. C.: Nontransitive measurable utility for decision under uncertainty, Journal of Mathematical Economics 18 (1989b), 187–207.

    Google Scholar 

  • Fishburn, P. C.: Nontransitive additive conjoint measurement, Journal of Mathematical Psychology 35 (1991a), 1–40.

    Google Scholar 

  • Fishburn, P. C.: Decision theory: the next 100 years?, Economic Journal 101 (1991b), 27–32.

    Google Scholar 

  • Fishburn, P. C.: Induced binary probabilities and the linear ordering polytope: a status report, Mathematical Social Sciences 23 (1992a), 67–80.

    Google Scholar 

  • Fishburn, P. C.: Additive differences and simple preference comparisons, Journal of Mathematical Psychology 36 (1992b), 21–31.

    Google Scholar 

  • Fishburn, P. C.: Utility and subjective probability, in Aumann and Hart (1994), 1397–1435.

    Google Scholar 

  • Fishburn, P. C.: Stochastic utility, in Handbook of Utility Theory (ed. S. Barberá, P. J. Hammond and C. Seidl). Dordrecht, Holland: Kluwer, 1997.

    Google Scholar 

  • Fishburn, P. C. and S. J. Brams: Paradoxes of preferential voting, Mathematics Magazine 56 (1983), 207–214.

    Google Scholar 

  • Fishburn, P, C. and I. H. LaValle: A nonlinear, nontransitive and additive-probability model for decision under uncertainty, Annals of Statistics 15 (1987), 830–844.

    Google Scholar 

  • Fishburn, P. C. and I. H. LaValle: Subjective expected lexicographic utility with infinite state sets, Journal of Mathematical Economics 27 (1997).

    Google Scholar 

  • Fishburn, P. and P. Wakker: The invention of the independence condition for preferences, Management Science 41 (1995), 1130–1144.

    Google Scholar 

  • Friedman, M. and L. J. Savage: The utility analysis of choices involving risk, Journal of Political Economy 56 (1948), 279–304.

    Google Scholar 

  • Friedman, M. and L. J. Savage: The expected-utility hypothesis and the measurability of utility, Journal of Political Economy 60 (1952), 463–474.

    Google Scholar 

  • Garman, M. and M. Kamien: The paradox of voting: probability calculations, Behavioral Science 13 (1968), 306–316.

    Google Scholar 

  • Gehrlein, W. V.: Condorcet’s paradox, Theory and Decision 15 (1983), 161–197.

    Google Scholar 

  • Gehrlein, W. V.: Condorcet’s paradox and the Condorcet efficiency of voting rules, Preprint, University of Delaware, Newark, DE, 1996.

    Google Scholar 

  • Gehrlein, W. V. and P. C. Fishburn: The probability of the paradox of voting: a computable solution, Journal of Economic Theory 13 (1976), 14–25.

    Google Scholar 

  • Georgescu-Roegen, N.: Choice, expectations, and measurability, Quarterly Journal of Economics 58 (1954), 503–534.

    Google Scholar 

  • Gibbard, A.: Manipulation of voting schemes: a general result, Econometrica 41 (1973), 587–601.

    Google Scholar 

  • Gilboa, I.: Expected utility with purely subjective non-additive probabilities, Journal of Mathematical Economics 16 (1987), 65–88.

    Google Scholar 

  • Gilboa, I.: A necessary but insufficient condition for the stochastic binary choice problem, Journal of Mathematical Psychology 34 (1990), 371–392.

    Google Scholar 

  • Grether, D. M. and C. R. Plott: Nonbinary social choice: an impossibility theorem, Review of Economic Studies 49 (1982), 143–149.

    Google Scholar 

  • Grötschel, M., M. Jünger and G. Reinelt: Facets of the linear ordering polytope, Mathematical Programming 33 (1985), 43–60.

    Google Scholar 

  • Guilbaud, G. Th.: Les théories de l’intérêt général et le problème logique de l’agrégation, Économie Appliquée 5 (1952), 501–584.

    Google Scholar 

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

    Google Scholar 

  • Hammond, P. J.: Consequentialist foundations for expected utility, Theory and Decision 25 (1988), 25–78.

    Google Scholar 

  • Harsanyi, J. C.: Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility, Journal of Political Economy 63 (1955), 309–321.

    Google Scholar 

  • Harsanyi, J.: A general theory of rational behavior in game situations, Econometrica 34 (1966), 613–634.

    Google Scholar 

  • Hausner, M.: Multidimensional utilities, in Thrall, Coombs and Davis (1954), 167–180.

    Google Scholar 

  • Herden, G.: On the existence of utility functions, Mathematical Social Sciences 17 (1989a), 297–313.

    Google Scholar 

  • Henden, G.: On the existence of utility functions II, Mathematical Social Sciences 18 (1989b), 107–117.

    Google Scholar 

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

    Google Scholar 

  • Hicks, J. R. and R. G. D. Allen: A reconsideration of the theory of value: I; II, Economica 1 (1934), 52–75; 196-219.

    Google Scholar 

  • Jensen, N. E.: An introduction to Bernoullian utility theory. I. Utility functions, Swedish Journal of Economics 69 (1967), 163–183.

    Google Scholar 

  • Kahneman, D. and A. Tversky: Prospect theory: an analysis of decision under risk, Econometrica 47 (1979), 263–291.

    Google Scholar 

  • Kaldor, N.: Welfare propositions and inter-personal comparisons of utility, Economic Journal 49 (1939), 549–552.

    Google Scholar 

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

    Google Scholar 

  • Kami, E. and D. Schmeidler: Utility theory with uncertainty, in Handbook of Mathematical Economics, Volume 4 (ed. W. Hildenbrand and H. Sonnenschein), 1763–1831. Amsterdam: Elsevier, 1991.

    Google Scholar 

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

    Google Scholar 

  • Kelly, J. S.: Arrow Impossibility Theorems. New York: Academic Press, 1978.

    Google Scholar 

  • Kim, K. H. and F. W. Roush: Statistical manipulability of social choice functions, Group Decision and Negotiation 5 (1996), 263–282.

    Google Scholar 

  • Kirman, A. P. and D. Sondermann: Arrow’s theorem, many agents, and invisible dictators, Journal of Economic Theory 5 (1972), 267–277.

    Google Scholar 

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

    Google Scholar 

  • Koppen, M.: Random utility representation of binary choice probabilities: critical graphs yielding critical necessary conditions, Journal of Mathematical Psychology 39 (1995), 21–39.

    Google Scholar 

  • Kraft, C. H., J. W. Pratt and A. Seidenberg: Intuitive probability on finite sets, Annals of Mathematical Statistics 30 (1959), 408–419.

    Google Scholar 

  • Krantz, D. H., R. D. Luce, P Suppes and A. Tversky: Foundations of Measurement, Volume 1. New York: Academic Press, 1971.

    Google Scholar 

  • Kreps, D. M. and E. L. Porteus: Temporal resolution of uncertainty and dynamic choice theory, Econometrica 46 (1978), 185–200.

    Google Scholar 

  • Kreweras, G.: Sur une possibilité de rationaliser les intransitivités, Colloques Internationaux du CNRS, La Décision (1961), 27–32.

    Google Scholar 

  • Kuhn, H. W., J. C. Harsanyi, R. Selten, J. W. Weibull, E. van Damme, J. F. Nash, Jr. and P. Hammerstein: The work of John F. Nash Jr. in game theory (Nobel seminar, 8 December 1994), Duke Mathematical Journal 81 (1995), i–v and 1-29.

    Google Scholar 

  • LaValle, I. H. and P. C. Fishburn: Lexicographic state-dependent subjective expected utility, Journal of Risk and Uncertainty 4 (1991), 251–269.

    Google Scholar 

  • LaValle, I. H. and P. C. Fishburn: On the varieties of matrix probabilities in nonarchimean decision theory, Journal of Mathematical Economics 25 (1996), 33–54.

    Google Scholar 

  • Lazarsfeld, P. F. (ed.): Mathematical Thinking in the Social Sciences. Glencoe, IL: The Free Press, 1954.

    Google Scholar 

  • Lepelley, D., F. Chantreuil and S. Berg: The likelihood of monotonicity paradoxes in run-off elections, Mathematical Social Sciences 31 (1996), 133–146.

    Google Scholar 

  • Levy, H.: Stochastic dominance and expected utility: survey and analysis, Management Science 38 (1992), 555–593.

    Google Scholar 

  • Loomes, G. and R. Sugden: Regret theory: an alternative theory of rational choice under uncertainty, Economic Journal 92 (1982), 805–824.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Luce, R.D.,: The choice axiom after twenty years, Journal of Mathematical Psychology 15 (1977), 215–233.

    Google Scholar 

  • Luce, R.D.: Lexicographic tradeoff structures, Theory and Decision 9 (1978), 187–193.

    Google Scholar 

  • Luce, R.D.: Personal communication, 1989.

    Google Scholar 

  • Luce, R.D.: Rank-and sign-dependent linear utility models for binary gambles, Journal of Economic Theory 53 (1991), 75–100.

    Google Scholar 

  • Luce, R.D.: Joint receipt and certainty equivalents of gambles, Journal of Mathematical Psychology 39 (1995), 73–81.

    Google Scholar 

  • Luce, R.D. and P. C. Fishburn: Rank-and sign-dependent linear utility models for finite first-order gambles, Journal of Risk and Uncertainty 4 (1991), 29–59.

    Google Scholar 

  • Luce, R.D. and P. C. Fishburn: A note on deriving rank-dependent utility using additive joint receipts, Journal of Risk and Uncertainty 11 (1995), 5–16.

    Google Scholar 

  • Luce, R.D., D. H. Krantz, P. Suppes and A. Tversky: Foundations of Measurement, Volume 3. New York: Academic Press, 1990.

    Google Scholar 

  • Luce, R.D. and L. Narens: Classification of concatenation measurement structures according to scale type, Journal of Mathematical Psychology 29 (1985), 1–72.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Machina, M. J.: ‘Expected utility’ analysis without the independence axiom, Econometrica 50 (1982), 277–323.

    Google Scholar 

  • Markowitz, H.: The utility of wealth, Journal of Political Economy 60 (1952a), 151–158.

    Google Scholar 

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

    Google Scholar 

  • Marley, A. A. J.: Context dependent probabilistic choice models based on measures of binary advantage, Mathematical Social Sciences 21 (1991), 201–231.

    Google Scholar 

  • Marschak, J.: Rational behavior, uncertain prospects, and measurable utility, Econometrica 18 (1950), 111–141. (Errata 18 (1950), 312)

    Google Scholar 

  • Marschak, J.: Towards an economic theory of organization and information, in Thrall, Coombs and Davis (1954), 187–220.

    Google Scholar 

  • Marschak, J.: Binary-choice constraints and random utility indicators, in Mathematical Methods in the Social Sciences, 1959 (ed. K. J. Arrow, S. Karlin and P. Suppes), 312–329. Stanford, CA: Stanford University Press, 1960.

    Google Scholar 

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

    Google Scholar 

  • McClennan, A.: Binary stochastic choice, in Preferences, Uncertainty, and Optimality (ed. J. S. Chipman, D. McFadden and M. K. Richter), 187–202. Boulder, CO: Westview Press, 1990.

    Google Scholar 

  • Mehta, G.: Some general theorems on the existence of order-preserving functions, Mathematical Social Sciences 15 (1988), 135–143.

    Google Scholar 

  • Merrill, S.: Making Multicandidate Elections More Democratic. Princeton, NJ: Princeton University Press, 1988.

    Google Scholar 

  • Milnor, J.: Games against nature, in Thrall, Coombs and Davis (1954), 49–59.

    Google Scholar 

  • Miser, H. J.: Introductory note, Operations Research 44 (1996), 257–258.

    Google Scholar 

  • Mosteller, F. and P. Nogee: An experimental measurement of utility, Journal of Political Economy 59 (1951), 371–404.

    Google Scholar 

  • Moulin, H.: Axioms of Cooperative Decision Making. Cambridge, UK: Cambridge University Pres, 1988.

    Google Scholar 

  • Nash, J. F. Jr.: The bargaining problem, Econometrica 18 (1950), 155–162.

    Google Scholar 

  • Nash, J. F. Jr.: Non-cooperative games, Annals of Mathematics 54 (1951), 286–295.

    Google Scholar 

  • Niemi, R. G. and H. F. Weisberg: A mathematical solution for the probability of the paradox of voting, Behavioral Science 13 (1968), 317–323.

    Google Scholar 

  • Peleg, B.: Utility functions for partially ordered topological spaces, Econometrica 38 (1970), 93–95.

    Google Scholar 

  • Peleg, B.: Game Theoretic Analysis of Voting in Committees. Cambridge, UK: Cambridge University Press, 1984.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Preston, M. G. and P. Baratta: An experimental study of the auction value of an uncertain outcome, American Journal of Psychology 61 (1948), 183–193.

    Google Scholar 

  • Quiggin, J.: A theory of anticipated utility, Journal of Economic Behavior and Organization 3 (1982), 323–343.

    Google Scholar 

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

    Google Scholar 

  • Ramsey, F. P.: Truth and probability, in The Foundations of Mathematics and Other Logical Essays. London: Routledge and Kegan Paul, 1931. Reprinted in H. E. Kyburg, Jr. and H. E. Smokier (eds.): Studies in Subjective Probability, 61-92. New York: Wiley, 1964.

    Google Scholar 

  • Restle, F.: Psychology of Judgment and Choice: a Theoretical Essay. New York: Wiley, 1961.

    Google Scholar 

  • Saari, D. G.: Geometry of Voting. Berlin: Springer-Verlag, 1994.

    Google Scholar 

  • Samuelson, P. A.: A note on the pure theory of consumer’s behaviour, Economica 5 (1938), 61–71, 353-354.

    Google Scholar 

  • Samuelson, P. A.: Probability, utility, and the independence axiom, Econometrica 20 (1952), 670–678.

    Google Scholar 

  • Satterthwaite, M. A.: Strategy-proofness and Arrow’s conditions: existence and correspondence theorems for voting procedures and social welfare functions, Journal of Economic Theory 10 (1975), 187–217.

    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.

    Google Scholar 

  • Schmeidler, D.: Subjective probability and expected utility without additivity, Eonometrica 57 (1989), 571–587.

    Google Scholar 

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

    Google Scholar 

  • Scott, D. and P. Suppes: 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, CA: Holden-Day, 1970.

    Google Scholar 

  • Shafer, G.: A Mathematical Theory of Evidence. Princeton, NJ: Princeton University Press, 1976.

    Google Scholar 

  • Skala, H. J.: Non-Archimedean Utility Theory. Dordrecht, Holland: Reidel, 1975.

    Google Scholar 

  • Smith, J. H.: Aggregation of preferences with variable electorate, Econometrica 41 (1973), 1027–1041.

    Google Scholar 

  • Stigler, G. J.: The development of utility theory: I; II, Journal of Political Economy 58 (1950), 307–327; 373-396.

    Google Scholar 

  • Suppes, P.: The role of subjective probability and utility in decision making, Proceedings of Third Berkeley Symposium on Mathematical Statistics and Probability, 1954-1955 5 (1956), 61–73.

    Google Scholar 

  • Suppes, P., D. H. Krantz, R. D. Luce and A. Tversky: Foundations of Measurement, Volume 2. New York: Academic Press, 1989.

    Google Scholar 

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

    Google Scholar 

  • Thaler, R. H.: Mental accounting and consumer choice, Marketing Science 4 (1985), 199–214.

    Google Scholar 

  • Thrall, R. M., C. H. Coombs and R. L. Davis (eds.): Decision Processes. New York: Wiley, 1954.

    Google Scholar 

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

    Google Scholar 

  • Trotter, W. T.: Combinatorics and Partially Ordered Sets. Baltimore, MD: The Johns Hopkins University Press, 1992.

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • Tversky, A. and J. E. Russo: Substitutability and similarity in binary choices, Journal of Mathematical Psychology 6 (1969), 1–12.

    Google Scholar 

  • Uzawa, H.: Preference and rational choice in the theory of consumption, in Preferences, Utility, and Demand (ed. J. S. Chipman, L. Hurwicz, M. K. Richter and H. F. Sonnenschein), 7–28. New York: Harcourt Brace Jovanovich, 1971.

    Google Scholar 

  • Villegas, C.: On qualitative probability σ-algebras, Annals of Mathematical Statistics 35 (1964), 1787–1796.

    Google Scholar 

  • Vind, K.: Independent preferences, Journal of Mathematical Economics 20 (1991), 119–135.

    Google Scholar 

  • von Neumann, J. and O. Morgenstern: Theory of Games and Economic Behavior. Princeton, NJ: Princeton University Press, 1944. (second edn., 1947; third edn., 1953)

    Google Scholar 

  • Wakker, P. P., Additive Representations of Preferences. Dordrecht, Holland: Kluwer, 1989.

    Google Scholar 

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

    Google Scholar 

  • Wiener, N.: A contribution to the theory of relative position, Proceedings of the Cambridge Philosophical Society 17 (1914), 441–449.

    Google Scholar 

  • Wold, H.: A synthesis of pure demand analysis: I; II; III, Skandinavisk Aktu-arietidskrift 26 (1943), 85–118; 26 (1943), 220-263; 27 (1944), 69-120.

    Google Scholar 

  • Young, H. P.: An axiomatization of Borda’s rule, Journal of Economic Theory 9 (1974), 43–52.

    Google Scholar 

  • Young, H. P.: Social choice scoring functions, SIAM Journal on Applied Mathematics 28 (1975), 824–838.

    Google Scholar 

  • Zeckhauser, R.: Majority rule with lotteries on alternatives, Quarterly Journal of Economics 83 (1969), 696–703.

    Google Scholar 

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Fishburn, P.C. (1999). The Making of Decision Theory. In: Shanteau, J., Mellers, B.A., Schum, D.A. (eds) Decision Science and Technology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-5089-1_20

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