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On the existence of most-preferred alternatives in complete lattices

Kukushkin, Nikolai S. (2010): On the existence of most-preferred alternatives in complete lattices.

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Abstract

If a preference ordering on a complete lattice is quasisupermodular, or just satisfies a rather weak analog of the condition, then it admits a maximizer on every subcomplete sublattice if and only if it admits a maximizer on every subcomplete subchain

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