Hostname: page-component-f554764f5-nqxm9 Total loading time: 0 Render date: 2025-04-17T05:33:32.400Z Has data issue: false hasContentIssue false
  • English
  • Français

A Simultaneous Axiomatization of Utility and Subjective Probability

Published online by Cambridge University Press:  14 March 2022

Ethan D. Bolker
Ethan D. Bolker*
Affiliation:
Bryn Mawr College
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper contributes to the mathematical foundations of the model for utility theory developed by Richard Jeffrey in The Logic of Decision [5]. In it I discuss the relationship of Jeffrey's to classical models, state and interpret an existence theorem for numerical utilities and subjective probabilities and restate a theorem on their uniqueness.

Type
Research Article
Information
Philosophy of Science , Volume 34 , Issue 4 , December 1967 , pp. 333 - 340
Copyright
Copyright © Philosophy of Science Association 1967

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

[1] Bolker, E. Functions Resembling Quotients of Measures, Dissertation, Harvard Univ., April, 1965.Google Scholar
[2] Bolker, E. “Functions Resembling Quotients of Measures”, Trans. Amer. Math. Soc. 124 (1966) 292–312.10.1090/S0002-9947-1966-0197671-9CrossRefGoogle Scholar
[3] Halmos, P. R., Measure Theory, Van Nostrand, New York, 1950.10.1007/978-1-4684-9440-2CrossRefGoogle Scholar
[4] Herstein, I. N. and Milnor, J., “An Axiomatic Approach to Measurable Utility,” Econometrica 21 (1953) 291–297.10.2307/1905540CrossRefGoogle Scholar
[5] Jeffrey, R., The Logic of Decision, McGraw Hill, New York, 1965.Google Scholar
[6] Luce, R. D., Individual Choice Behavior, A Theoretical Analysis, Wiley, New York, 1959.Google Scholar
[7] Mackey, G. W., The Mathematical Foundations of Quantum Mechanics, Benjamin, New York, 1963.Google Scholar
[8] Ramsey, F. P., “Truth and Probability” (1926), in Studies in Subjective Probability, ed. H. Kyburg, Jr. and H. Smokier, Wiley, New York, 1964.Google Scholar
[9] Samuelson, P. A., “Probability, Utility and the Independence Axiom,” Econometrica 20 (1952) 670.10.2307/1907649CrossRefGoogle Scholar
[10] Savage, L. J., The Foundations of Statistics, Wiley, New York, 1954.Google Scholar
[11] Villegas, C., “On Qualitative Probability σ-Algebras,” Annals of Math. Statistics 35 (1964) 1787–1796.10.1214/aoms/1177700400CrossRefGoogle Scholar
[12] von Neumann, J. and Morgenstern, O., Theory of Games and Economic Behavior, 3rd ed., Princeton University Press, Princeton, 1953.Google Scholar