An alternative proof of Fishburn’s axiomatization of lexicographic preferences

We present an alternative proof of Fishburn’s (1975) axiomatization of lexicographic preferences. The essence of our proof lies in identifying “an extremely pivotal factor”. Our proof reconfirms the strong interconnections between Arrow’s and Gibbard–Satterthwaite’s theorems with Fishburn’s axiomati...

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Bibliographic Details
Published in:Economics letters 2014-08, Vol.124 (2), p.168-170
Main Authors: Mitra, Manipushpak, Sen, Debapriya
Format: Article
Language:English
Subjects:
Agency theory
Axiomatization
Decision analysis
Economic theory
Extremely pivotal factor
Lexicographic preference
Lexicography
Preferences
Proof theory
Studies
Theorems
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Summary:We present an alternative proof of Fishburn’s (1975) axiomatization of lexicographic preferences. The essence of our proof lies in identifying “an extremely pivotal factor”. Our proof reconfirms the strong interconnections between Arrow’s and Gibbard–Satterthwaite’s theorems with Fishburn’s axiomatization. •An alternative proof of Fishburn’s (1975) axiomatization of lexicographic preferences.•Proof builds on identifying “an extremely pivotal factor i”.•Reconfirms strong interconnections of Fishburn’s axiomatization with Arrow’s and Gibbard–Satterthwaite’s theorems.
ISSN:0165-1765
1873-7374
DOI:10.1016/j.econlet.2014.05.011