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M. Lackner:
"Incomplete Preferences in Single-Peaked Electorates";
Talk: Twenty-Eighth AAAI Conference on Aritifical Intelligence (AAAI 2014), Québec City, Québec, Canada; 07-27-2014 - 07-31-2014; in: "Proceedings of the Twenty-Eighth AAAI Conference on Aritifical Intelligence", C. Brodley, P. Stone (ed.); (2014), ISBN: 978-1-57735-661-5; 742 - 748.

Incomplete preferences are likely to arise in real-world preference aggregation and voting systems. This paper deals with determining whether an incomplete preference profile is single-peaked. This is essential information since many intractable voting problems become tractable for single-peaked profiles. We prove that for incomplete profiles the problem of determining single-peakedness is NP-complete. Despite this computational hardness result, we find four polynomial-time algorithms for reasonably restricted settings.