Are There Any Nicely Structured Preference Profiles Nearby?
نویسندگان
چکیده
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, singlecrossing, value-restricted, best-restricted, worst-restricted, medium-restricted, or groupseparable 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.
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تاریخ انتشار 2013