General solutions for choice sets: The Generalized Optimal-Choice Axiom set
Athanasios Andrikopoulos () and
Eleftherios Zacharias ()
MPRA Paper from University Library of Munich, Germany
In this paper we characterize the existence of best choices of arbitrary binary relations over non finite sets of alternatives, according to the Generalized Optimal-Choice Axiom condition introduced by Schwartz. We focus not just in the best choices of a single set X, but rather in the best choices of all the members of a family K of subsets of X. Finally we generalize earlier known results concerning the existence (or the characterization) of maximal elements of binary relations on compact subsets of a given space of alternatives.
Keywords: Generalized Optimal-Choice Axiom; maximal elements; acyclicity; consistency; ≻-upper compactness (search for similar items in EconPapers)
JEL-codes: D11 (search for similar items in EconPapers)
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