A topological characterization of the existence of non-empty choice sets (Journal article)

Andrikopoulos, A./ Zacharias, E.


The theory of optimal choice sets is a solution theory that has a long and well-established tradition in social choice and game theories. In this paper, we characterize the existence of the most important solution theories of arbitrary binary relations over non-finite sets of alternatives. More precisely, we present a topological characterization of the Smith and Schwartz sets. We also generalize results of the above solution theories for asymmetric binary relations defined in finite sets as well as most of the known results concerning the (characterization of the) existence of maximal elements of binary relations on compact spaces.
Institution and School/Department of submitter: Πανεπιστήμιο Ιωαννίνων. Σχολή Οικονομικών και Κοινωνικών Επιστημών. Τμήμα Οικονομικών Επιστημών
Keywords: Upper semicontinuity, R-upper compactness, Generalized Optimal-Choice Axiom, Generalized Top-Choice Assumption, Smith set, Schwartz set, Maximal elements, Acyclicity
URI: http://olympias.lib.uoi.gr/jspui/handle/123456789/11281
Link: http://www.sciencedirect.com/science/article/pii/S0166864111005797
Publisher: Elsevier
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά)

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