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
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