Theorem B of [1] is false as it stands (Section 1). It is true if the preference order is defined by a finite number of linear functions (Section 2) or alternatively, if the archimidean assumption [1, (1.2)] is replaced by either of the stronger forms [1, (4.1)] or [1, (4.2)] (Section 3). A corresponding correction must be made for Theorem C of [1] (Section 4).
MLA
Aumann, Robert J.. “Notes and Comments: Utility Theory without the Completeness Axiom: A Correction.” Econometrica, vol. 32, .no 1, Econometric Society, 1964, pp. 210-212, https://www.jstor.org/stable/1913746
Chicago
Aumann, Robert J.. “Notes and Comments: Utility Theory without the Completeness Axiom: A Correction.” Econometrica, 32, .no 1, (Econometric Society: 1964), 210-212. https://www.jstor.org/stable/1913746
APA
Aumann, R. J. (1964). Notes and Comments: Utility Theory without the Completeness Axiom: A Correction. Econometrica, 32(1), 210-212. https://www.jstor.org/stable/1913746
The Executive Committee of the Econometric Society has approved an increase in the submission fees for papers in Econometrica. Starting January 1, 2025, the fee for new submissions to Econometrica will be US$125 for regular members and US$50 for student members.
By clicking the "Accept" button or continuing to browse our site, you agree to first-party and session-only cookies being stored on your device. Cookies are used to optimize your experience and anonymously analyze website performance and traffic.