Skip to main content
Log in

From Outcomes to Acts: A Non-Standard Axiomatization of the Expected Utility Principle

  • Published:
Journal of Philosophical Logic Aims and scope Submit manuscript

Abstract

This paper presents an axiomatization of the principle of maximizing expected utility that does not rely on the independence axiom or sure-thing principle. Perhaps more importantly the new axiomatization is based on an ex ante approach, instead of the standard ex post approach. An ex post approach utilizes the decision maker's preferences among risky acts for generating a utility and a probability function, whereas in the ex ante approach a set of preferences among potential outcomes are on the input side of the theory and the decision maker's preferences among risky acts on the output side.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

REFERENCES

  • Allais, M. (1953) Le comprtement de l'homme rational devant le risque: Critique des postulates et axioms de l'ecole'americaine, Econometrica 21, 503–546.

    Google Scholar 

  • Arrow, K. J. (1963) Social Choices and Individual Values, Wiley.

  • Bales, R. E. (1971) Act-utilitarianism: Account of right-making characteristic or decisionmaking procedure?, American Philosophical Quarterly 8, 257–265.

    Google Scholar 

  • Broome, J. (1999) Ethics out of Economics, Cambridge University Press.

  • Davidson, D. et al. (1957) Decision Making: An Experimental Approach, Stanford University Press.

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

    Google Scholar 

  • Hansson, B. (1988) Risk aversion as a problem of conjoint measurement, in Gäredenfors and Sahlin (eds.), Decision, Probability, and Utility, Cambridge University Press.

  • Hansson, S. O. (2001) The Structure of Values and Norms, Cambridge University Press.

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

    Google Scholar 

  • Jeffrey, R. (1965) The Logic of Decision, 2nd edn, University of Chicago Press, 1983.

  • Joyce, J. (1999) The Foundations of Causal Decision Theory, Cambridge University Press.

  • Kagel, J. H. and Roth, A. (1995) The Handbook of Experimental Economics, Princeton University Press.

  • Krantz et al. (1971) Foundations of Measurement: Volume 1, Additive and Polynomial Representations, Academic Press.

  • Malmnäs, P.-E. (1994) Axiomatic justifications of the utility principle-A formal investigation, Synthese 99, 233–249.

    Google Scholar 

  • von Neumann, J. and Morgenstern, O. (1947) Theory of Games and Economic Behavior, 2nd edn, Princeton University Press.

  • Oddie, G. and Milne, P. (1991) Act and value: Expectation and the representability of moral theories, Theoria 57, 42–76.

    Google Scholar 

  • Peterson, M. (2002) An argument for the principle of maximizing expected utility, Theoria 68, 112–128.

    Google Scholar 

  • Peterson, M. (2003) Transformative decision rules, Erkenntnis 58, 71–85.

    Google Scholar 

  • Rabinowicz, W. (1997) On Seinfeld's criticism of sophisticated violations of the independence axiom, Theory and Decision 43, 279–292.

    Google Scholar 

  • Ramsey, F. P. (1926) Truth and probability, in Mellor (ed.), Foundations: Essays in Philosophy, Logics, and Methematics and Economics, Routledge & Kegan Paul, 1978.

  • Resnik, M. (1993) Choices. An Introduction to Decision Theory, University of Minnesota Press. 1st edition 1987.

  • Roberts, F. (1979) Measurment Theory, in Gian-carlo Rota (ed.), Encyclopedia of Mathematics and its Applications 7, Addison-Wesley, Reading, Mass.

  • Savage, L. J. (1954) The Foundations of Statistics, 2nd edn, Wiley, 1972, Dover.

  • Schmidt, U. (1998) Axiomatic Utility Theory under Risk: Non-Archimedian Representations and Application to Insurance Economics, Lecture Notes in Economics and Mathematical Systems, Springer-Verlag.

  • Tännsjö, T. (1998) Hedonistic Utilitarianism, Edinburgh University Press.

  • Yilmaz, M. R. (1997) In defense of a constructive, information-based approach to decision theory, Theory and Decision 43, 21–44.

    Google Scholar 

  • Zynda, L. (2000) Representation theorems and realism about degrees of belief, Philosophy of Science 67, 45–69.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peterson, M. From Outcomes to Acts: A Non-Standard Axiomatization of the Expected Utility Principle. Journal of Philosophical Logic 33, 361–378 (2004). https://doi.org/10.1023/B:LOGI.0000036852.81010.db

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:LOGI.0000036852.81010.db

Navigation