Skip to main content
Log in

Subjective expected utility with nonincreasing risk aversion

  • Part III Risk Attitudes And Preference Intensities
  • Published:
Annals of Operations Research Aims and scope Submit manuscript

Abstract

It is shown that assumptions about risk aversion, usually studied under the pre-supposition of expected utility maximization, have a surprising extra merit at an earlier stage of the measurement work: together with the sure-thing principle, these assumptions imply subjective expected utility maximization for monotonic continuous weak orders.

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.

Similar content being viewed by others

References

  1. E.W. Adams, R.F. Fagot and R. Robinson, On the empirical status of axioms in theories of fundamental measurement, Journal of Mathematical Psychology 7(1970)379.

    Google Scholar 

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

    Google Scholar 

  3. G. Debreu and T.C. Koopmans, Additively decomposed quasi-convex functions, Math. Progr. 24(1982)1.

    Google Scholar 

  4. W. Eichhorn,Functional Equations in Economics (Addison-Wesley, Reading, MA, 1978).

    Google Scholar 

  5. D.H. Krantz, R.D. Luce, P. Suppes and A. Tversky,Foundations of Measurement, Vol. I (Academic Press, New York, 1971).

    Google Scholar 

  6. J.W. Pratt, Risk aversion in the small and in the large, Econometrica 32(1964)122.

    Google Scholar 

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

    Google Scholar 

  8. F. Stehling, Eine neue Charakterisierung der CD- und ACMS-Produktionsfunktionen, Operations Research-Verfahren 21(1975)222.

    Google Scholar 

  9. P.P. Wakker, Cardinal coordinate independence for expected utility, Journal of Mathematical Psychology 28(1984)110.

    Google Scholar 

  10. P.P. Wakker, Continuous expected utility for arbitrary state spaces, Methods of Operations Research 50(1984)113.

    Google Scholar 

  11. P.P. Wakker, Concave additively decomposable representing functions and risk aversion, in:Recent Developments in the Foundations of Utility and Risk Theory, ed. L. Daboni, A. Montesano and M. Lines (Reidel, Dordrecht, 1986) pp. 249–262.

    Google Scholar 

  12. P.P. Wakker, H.J.M. Peters and T.B.P.L. van Riel, Comparisons of risk aversion, with an application to bargaining, Methods of Operations Research 54(1986)307.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

This study was carried out while the author was at the Netherlands Central Bureau of Statistics, Department of Statistical Methods, Voorburg, The Netherlands.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wakker, P.P. Subjective expected utility with nonincreasing risk aversion. Ann Oper Res 19, 219–228 (1989). https://doi.org/10.1007/BF02283522

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02283522

Keywords

Navigation