Are there any nicely structured preference~profiles~nearby?
Computer Science and Game Theory
2015-09-16 v1
Abstract
We investigate the problem of deciding whether a given preference profile is close to having a certain nice structure, as for instance single-peaked, single-caved, single-crossing, value-restricted, best-restricted, worst-restricted, medium-restricted, or group-separable profiles. We measure this distance by the number of voters or alternatives that have to be deleted to make the profile a nicely structured one. Our results classify the problem variants with respect to their computational complexity, and draw a clear line between computationally tractable (polynomial-time solvable) and computationally intractable (NP-hard) questions.
Cite
@article{arxiv.1509.04595,
title = {Are there any nicely structured preference~profiles~nearby?},
author = {Robert Bredereck and Jiehua Chen and Gerhard J. Woeginger},
journal= {arXiv preprint arXiv:1509.04595},
year = {2015}
}