Savage's P3 Is Redundant

Author:

Hartmann Lorenz1

Affiliation:

1. Department of Quantitative Finance, University of Freiburg

Abstract

Savage (1954) provided the first axiomatic characterization of expected utility without relying on any given probabilities or utilities. It is the most famous preference axiomatization existing. This note shows that Savage's axiom P3 is implied by the other axioms, which reveals its redundancy. It is remarkable that this was not noticed before as Savage's axiomatization has been studied and taught by hundreds of researchers for more than six decades.

Publisher

The Econometric Society

Subject

Economics and Econometrics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Some Notes on Savage’s Representation Theorem;Theory and Decision;2024-08-16

2. The Sure-Thing Principle;Journal of Mathematical Economics;2023-12

3. Independent postulates for subjective expected utility;Theory and Decision;2023-10-23

4. Subjective expected utility with signed threshold;Journal of Mathematical Psychology;2023-08

5. Erratum to “Savage's P3 is Redundant”;Econometrica;2023

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