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arxiv: 1403.7625 · v5 · pith:E2KMQ6NInew · submitted 2014-03-29 · 💻 cs.GT

Testing Top Monotonicity

classification 💻 cs.GT
keywords monotonicitytestingorderspartialcharacterizationcircumventedconstraintsdefinition
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Top monotonicity is a relaxation of various well-known domain restrictions such as single-peaked and single-crossing for which negative impossibility results are circumvented and for which the median-voter theorem still holds. We examine the problem of testing top monotonicity and present a characterization of top monotonicity with respect to non-betweenness constraints. We then extend the definition of top monotonicity to partial orders and show that testing top monotonicity of partial orders is NP-complete.

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