Zeitschriftenartikel:
M. Lackner, Z. Fitzsimmons:
"Incomplete Preferences in Single-Peaked Electorates";
Artificial Intelligence,
67
(2020),
S. 797
- 833.
Kurzfassung englisch:
Incomplete preferences are likely to arise in real-world preference aggregation scenarios. This paper deals with determining whether an incomplete preference profile is single-peaked. This is valuable information since many intractable voting problems become tractable given singlepeaked preferences. We prove that the problem of recognizing single-peakedness is NP-complete for incomplete profiles consisting of partial orders. Despite this intractability result, we find several polynomial-time algorithms for reasonably restricted settings. In particular, we give polynomial-time recognition algorithms for weak orders, which can be viewed as preferences with indifference.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1613/jair.1.11577
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.