Open Access
June, 1972 On Subjective Probability and Expected Utilities
Pedro E. Ferreira
Ann. Math. Statist. 43(3): 928-933 (June, 1972). DOI: 10.1214/aoms/1177692556


The Anscombe and Aumann double relation approach for defining subjective probabilities and utilities in terms of a person's preferences is generalized for the case in which the set of states of the world is unrestricted (finite or not). A monotone continuity condition enables us to prove $\sigma$-additivity; the necessity of this condition is also proved if our other assumptions hold. Although the single relation approach used by Fishburn appears to be more elegant, the present approach has the advantage of showing how the subjective probabilities arise.


Download Citation

Pedro E. Ferreira. "On Subjective Probability and Expected Utilities." Ann. Math. Statist. 43 (3) 928 - 933, June, 1972.


Published: June, 1972
First available in Project Euclid: 27 April 2007

zbMATH: 0254.62005
MathSciNet: MR301769
Digital Object Identifier: 10.1214/aoms/1177692556

Rights: Copyright © 1972 Institute of Mathematical Statistics

Vol.43 • No. 3 • June, 1972
Back to Top