A Class of Orderings in the Range of Borda's Rule
Jerry S. Kelly, Shaofang Qi
TL;DR
This paper identifies a specific class of orderings that can be generated by Borda's rule from some preference profile among an odd number of individuals, expanding understanding of Borda's rule's range.
Contribution
It introduces a new class of orderings within the range of Borda's rule, demonstrating their realizability through specific preference profiles.
Findings
Established a class of orderings in Borda's range
Proved existence of preference profiles mapping to these orderings
Enhanced understanding of Borda's rule applicability
Abstract
We present a class of orderings L for which there exists a profile u of preferences for a fixed odd number of individuals such that Borda's rule maps u to L.
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Taxonomy
TopicsConstraint Satisfaction and Optimization · Advanced Algebra and Logic · Advanced Topology and Set Theory