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- W1570694021 abstract "In economics and social choice single-peakedness is one of the most important and commonly studied models for preferences. It is well known that single-peaked consistency for total orders is in P. However in practice a preference profile is not always comprised of total orders. Often voters have indifference between some of the candidates. In a weak preference order indifference must be transitive. We show that single-peaked consistency for weak orders is in P for three different variants of single-peakedness for weak orders. Specifically, we consider Black's original definition of single-peakedness for weak orders, Black's definition of single-plateaued preferences, and the existential model recently introduced by Lackner. We accomplish our results by transforming each of these single-peaked consistency problems to the problem of determining if a 0-1 matrix has the consecutive ones property." @default.
- W1570694021 created "2016-06-24" @default.
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- W1570694021 date "2016-06-23" @default.
- W1570694021 modified "2023-09-27" @default.
- W1570694021 title "Single-Peaked Consistency for Weak Orders Is Easy" @default.
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- W1570694021 doi "https://doi.org/10.4204/eptcs.215.10" @default.
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