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Another characterization of quasisupermodularity

Kukushkin, Nikolai S. (2009): Another characterization of quasisupermodularity.

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An ordering on a lattice is quasisupermodular if and only if inserting it into any parametric optimization problem with the single crossing property cannot destroy the monotonicity of the set of optima. More detailed conditions for the monotonicity of the set of optima in a parameter influencing the preference ordering, as well as in the sublattice of feasible choices, are also obtained.

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