The precore: converse consistent enlargements and alternative axiomatic results

Yu-Hsien Liao ()
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Yu-Hsien Liao: National Pingtung University

TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, 2018, vol. 26, issue 1, No 9, 146-163

Abstract: Abstract Since the precore violates (weak) converse consistency, two converse consistent enlargements are proposed. These two converse consistent enlargements are the smallest (weak) converse consistent solutions that contain the precore. On the other hand, we turn to a different notion of the reduction by considering the players and the activity levels simultaneously. Based on such revised reductions, we offer several axiomatizations of the precore.

Keywords: The precore; Converse consistency; Converse consistent enlargement; Axiomatization; 91A; 91B (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s11750-017-0463-2

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