Abstract | ||
---|---|---|
We provide the first polynomial-time algorithm for recognizing if a profile of (possibly weak) preference orders is top-monotonic. Top-monotonicity is a generalization of the notions of single-peakedness and single-crossingness, defined by Barbera and Moreno. Top-monotonic profiles always have weak Condorcet winners and satisfy a variant of the median voter theorem. Our algorithm proceeds by reducing the recognition problem to the SAT-2CNF problem. |
Year | DOI | Venue |
---|---|---|
2017 | 10.1613/jair.1.11331 | JOURNAL OF ARTIFICIAL INTELLIGENCE RESEARCH |
Field | DocType | Volume |
Monotonic function,Discrete mathematics,Computer science,Time complexity | Conference | 66 |
Issue | ISSN | Citations |
1 | 1076-9757 | 1 |
PageRank | References | Authors |
0.35 | 0 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Krzysztof Magiera | 1 | 7 | 1.56 |
Piotr Faliszewski | 2 | 1395 | 94.15 |