Recognizing Top-Monotonic Preference Profiles in Polynomial Time

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Recognizing Top-Monotonic Preference Profiles in Polynomial Time

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 Barberà and Moreno. Top-monotonic profiles always have weak Condorcet winners and satisfy a variant of the median voter theorem. Our algorithm proceeds by re...

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ژورنال

عنوان ژورنال: Journal of Artificial Intelligence Research

سال: 2019

ISSN: 1076-9757

DOI: 10.1613/jair.1.11331