Publication Type
Master Thesis
Version
publishedVersion
Publication Date
11-2025
Abstract
This paper studies the structure of the lexicographic preference domain in the context of strategy proof Random Social Choice Functions (RSCFs). Classical sufficient conditions for the tops-only property—namely, the Interior and Exterior Properties—do not hold in lexicographic domains. Nevertheless, these domains still exhibit the tops-only property. We first provide a structural explanation of why the Interior and Exterior Properties fail in this setting. We then introduce two new structural conditions, Property 1 and Property 2, and show that any two-dimensional lexicographic preference domain satisfying these conditions is a tops-only domain. Finally, we prove that the two-dimensional lexicographic domain meets both properties.This provides a clear structural foundation for the tops-only nature of lexicographic preferences, bridging a gap left by previous characterizations.
Keywords
Social Choice, Lexicographic Preference, Tops-only Property
Degree Awarded
Master of Philosophy in Econ
Discipline
Economics
Supervisor(s)
CHATTERJI, Shurojit
First Page
1
Last Page
29
Publisher
Singapore Management University
City or Country
Singapore
Citation
GENG, Xinning.
The lexicographic preference and the tops-only property. (2025). 1-29.
Available at: https://ink.library.smu.edu.sg/etd_coll/812
Copyright Owner and License
Author
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.