On the existence of optima in complete chains and lattices

DOI10.1007/S10957-012-0031-8zbMath1282.91085OpenAlexW2069743906MaRDI QIDQ1937014

Nikolai S. Kukushkin

Publication date: 11 February 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0031-8

zbMATH Keywords

complete latticecomplete chainlattice optimizationsuperextremal function

Mathematics Subject Classification ID

Programming involving graphs or networks (90C35) Decision theory (91B06) Individual preferences (91B08) Structure theory of lattices (06B05)

Cites Work

• Maximizing an interval order on compact subsets of its domain
• On the existence of maximal elements: An impossibility theorem
• Monotone Comparative Statics
• On the Existence of Most-Preferred Alternatives

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