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- W2962943417 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.
- W2962943417 created "2019-07-30" @default.
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- W2962943417 date "2015-01-01" @default.
- W2962943417 modified "2023-09-22" @default.
- W2962943417 title "Single-Peaked Consistency for Weak Orders Is Easy." @default.
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