Testing Top Monotonicity

Haris Aziz

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arXiv · 1403.7625

Testing Top Monotonicity

Haris Aziz

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Abstract

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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Haris Aziz. 2014-03-29. Testing Top Monotonicity. https://arxiv.org/abs/1403.7625

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