Andrikopoulos, Athanasios and Zacharias, Eleftherios (2008): General solutions for choice sets: The Generalized OptimalChoice Axiom set.

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Abstract
In this paper we characterize the existence of best choices of arbitrary binary relations over non finite sets of alternatives, according to the Generalized OptimalChoice 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.
Item Type:  MPRA Paper 

Original Title:  General solutions for choice sets: The Generalized OptimalChoice Axiom set 
Language:  English 
Keywords:  Generalized OptimalChoice Axiom; maximal elements; acyclicity; consistency; ≻upper compactness 
Subjects:  D  Microeconomics > D1  Household Behavior and Family Economics > D11  Consumer Economics: Theory 
Item ID:  11645 
Depositing User:  Eleftherios /E Zacharias 
Date Deposited:  23. Nov 2008 02:12 
Last Modified:  15. Feb 2013 15:02 
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URI:  http://mpra.ub.unimuenchen.de/id/eprint/11645 