Maximal elements for irreflexive binary relations on compact sets

DOI10.1016/S0165-4896(01)00083-XzbMath1029.91016OpenAlexW1996318047MaRDI QIDQ1867800

José Luis García-Lapresta, Carlos Rodriguez-Palmero

Publication date: 2 April 2003

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-4896(01)00083-x

zbMATH Keywords

694Maximal elementsTransitivityAcyclicityIrreflexivityTransfer continuities

Mathematics Subject Classification ID

Individual preferences (91B08)

Related Items (6)

Multiobjective optimization, scalarization, and maximal elements of preorders ⋮ Full characterizations of minimax inequality, fixed point theorem, saddle point theorem, and KKM principle in arbitrary topological spaces ⋮ A topological characterization of the existence of non-empty choice sets ⋮ Mixed choice structures, with applications to binary and non-binary optimization ⋮ Maximality with or without binariness: transfer-type characterizations ⋮ On the existence of equilibria in games with arbitrary strategy spaces and preferences

Cites Work

• Maximal elements of weakly continuous relations
• On the existence of maximal elements
• Maximal elements of acyclic relations on compact sets
• Numerical representation for lower quasi-continuous preferences
• Transfer continuities, generalizations of the Weierstrass and maximum theorems: A full characterization
• Transfer Method for Characterizing the Existence of Maximal Elements of Binary Relations on Compact or Noncompact Sets
• Necessary and Sufficient Conditions for Maximization of a Class of Preference Relations

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