Publication Type
Working Paper
Version
publishedVersion
Publication Date
3-2009
Abstract
In this paper we consider the standard voting model with a finite set of alternatives A and n voters and address the following question: what are the characteristics of domains D that induce the property that every strategy-proof social choice function f : Dn → A satisfying unanimity, has the tops-only property? We first impose a minimal richness condition which ensures that for every alternative a, there exists an admissible ordering where a is maximal. We identify conditions on D that are sufficient for strategy-proofness and unanimity to imply tops onlyness in the general case of n voters and in the special case, n = 2. We provide an algorithm for constructing tops-only domains from connected graphs with elements of A as nodes. We provide several applications of our results. Finally, we relax the minimal richness assumption and partially extend our results.
Keywords
Voting-rules, Strategy-proofness, Restricted domains, Tops-only domains
Discipline
Economic Theory
Research Areas
Economic Theory
First Page
1
Last Page
33
Publisher
SMU Economics and Statistics Working Paper Series, No. 06-2009
City or Country
Singapore
Citation
CHATTERJI, Shurojit and SEN, Arunava.
Tops-Only Domains. (2009). 1-33.
Available at: https://ink.library.smu.edu.sg/soe_research/1139
Copyright Owner and License
Authors
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.
Comments
Published in Economic Theory, 2011. https://doi.org/10.1007/s00199-009-0509-2