Skip to main content
Log in

Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualitative probability ordering

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

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

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.

References

  • B. O.Koopman, ‘The Bases of Probability’,Bulletin of the American Mathematical Society 46 (1940), 763–774.

    Google Scholar 

  • C. H.Kraft, J. W.Pratt, and A.Seidenberg, ‘Intuitive Probability on Finite Sets’,Annals of Mathematical Statistics 30 (1959), 408–419.

    Google Scholar 

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

    Google Scholar 

  • R. D.Luce, ‘Sufficient Conditions for the Existence of a Finitely Additive Probability Measure’,Annals of Mathematical Statistics 38 (1967), 780–786.

    Google Scholar 

  • L. J.Savage,The Foundations of Statistics, Wiley, New York 1954.

    Google Scholar 

  • D.Scott, ‘Measurement Models and Linear Inequalities’,Journal of Mathematical Psychology 1 (1964), 233–247.

    Google Scholar 

  • P.Suppes, ‘The Role of Subjective Probability and Utility in Decision-making’, in J.Neyman (Ed.),Proceedings of the Third Berkeley Symposium of Mathematical Statistics and Probability (Vol. 5), University of California Press, Berkeley 1956.

    Google Scholar 

  • P.Suppes,Studies in the Methodology and Foundations of Science, Reidel, Dordrecht 1969.

    Google Scholar 

  • A.Tversky, ‘Additivity, Utility, and Subjective Probability’,Journal of Mathematical Psychology 4 (1967), 175–201.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The ideas and results contained in this article were first presented at the Stanford Seminar on Foundations of Probability, Winter Quarter, 1976. We have benefited considerably from comments and criticisms of several members of the seminar, especially Thomas Cover.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suppes, P., Zanotti, M. Necessary and sufficient conditions for existence of a unique measure strictly agreeing with a qualitative probability ordering. J Philos Logic 5, 431–438 (1976). https://doi.org/10.1007/BF00649401

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00649401

Keywords

Navigation