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Axiomatic justifications of the utility principle: A formal investigation

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Abstract

It is argued that existing axiomatic theories of utility do not provide the utility principle or the principle of maximising expected utility with a formal justification. It is also argued that these theories only put mild constraints on a decision-maker in a decision-context. Finally, it is argued that the prospects are not particularly bright for finding formal non-circular arguments for the utility principle that do not rely on the law of large numbers.

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References

  • Allais, M.: 1953, ‘Le Comportement de l'Homme Rationnel devant le Risque: Critique des Postulats et Axiomes de l'Ecole Américaine’,Econometrica 21, 503–46.

    Google Scholar 

  • Allais, M.: 1979, ‘The so-called Allais Paradox and Rational Decisions under Uncertainty’, M. Allais and O. Hagen (eds.),Expected Utility and the Allais Paradox, D. Reidel, Dordrecht, pp. 437–681.

    Google Scholar 

  • Bernard, G.: 1974, ‘On Utility Functions’,Theory and Decision 5, 205–42.

    Google Scholar 

  • Davidson, D., P. Suppes, and S. Siegel: 1957,Decision Making: An Experimental Approach, Stanford University Press, Stanford.

    Google Scholar 

  • Debreu, G.: 1954, ‘Representation of a Preference Ordering by a Numerical Function’, R. M. Thrall, C. H. Coombs, and R. L. Davis (eds.),Decision Processes, John Wiley, New York, 159–65.

    Google Scholar 

  • Fishburn, P.: 1981, ‘Subjective Expected Utility’,Theory and Decision 13, 139–99.

    Google Scholar 

  • Friedman, M., and L. J. Savage: 1952, ‘The Expected Utility Hypothesis and Measurable Utility’,Journal of Political Economy 60, 463–74.

    Google Scholar 

  • Hansson, B.: 1988, ‘Risk Aversion as a Problem of Conjoint Measurement’, in P. Gärdenfors and N. E. Sahlin (eds.),Decision, Probability and Utility, Cambridge University Press, Cambridge, pp. 136–58.

    Google Scholar 

  • Herstein, I. N. and J. Milnor: 1953, ‘An Axiomatic Approach to Measurable Utility’,Econometrica 21, 291–97.

    Google Scholar 

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

    Google Scholar 

  • Levi, I: 1974, ‘On Indeterminate Probabilities’,Journal of Philosophy 71, 391–418.

    Google Scholar 

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

    Google Scholar 

  • Machina, M.: 1982, ‘“Expected Utility” Analysis Without the Independence Axiom’,Econometrica 50, 277–323.

    Google Scholar 

  • Malmnäs, P. E.: 1990,Real-Life Decisions, Expected Utility and Effective Computability, Research Report, HSFR 677/87.

  • Malmnäs, P. E.: 1990a,Axiomatic Justifications of the Utility Principle: A Formal Investigation, Research Report HSFR 677/87.

  • Marschak, J.: 1950, ‘Rational Behaviour, Uncertain Prospects, Measurable Utility’,Econometrica 18, 111–41.

    Google Scholar 

  • Oddie, G., and P. Milne: 1990, ‘Act and Value’,Theoria LVII, 42–76.

    Google Scholar 

  • 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, 353–75.

    Google Scholar 

  • Ramsey, F. P.: 1931, ‘Truth and Probability’, in F. P. Ramsey,The Foundations of Mathematics and Other Logical Essays, Harcourt, Brace, New York, pp. 156–98.

    Google Scholar 

  • Savage, L. J.: 1954,The Foundations of Statistics, John Wiley, New York (2nd ed., 1972, Dover, New York).

    Google Scholar 

  • von Neumann, J., and O. Morgenstern: 1944,Theory of Games and Economic Behavior, Princeton University Press, Princeton (2nd ed., 1947: 3rd ed., 1953).

    Google Scholar 

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Malmnäs, Pe. Axiomatic justifications of the utility principle: A formal investigation. Synthese 99, 233–249 (1994). https://doi.org/10.1007/BF01064430

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