A Consistent Allocation Rule: Non-emptiness, Reductions, Domination and Axiomatization
Ling-Yun Chung () and
Yu-Hsien Liao ()
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Ling-Yun Chung: Graduate School of Technological and Vocational Education, National Yunling University of Science and Technology, Douliou, Yunlin 64002, TAIWAN
Yu-Hsien Liao: Department of Applied Mathematics, National Pingtung University, Pingtung 900, TAIWAN
Review of Economics & Finance, 2014, vol. 4, 61-74
Abstract:
Since an extended core violates related properties of consistency, this paper proposes the concept of pseudo core. By focusing on the agents and the operational levels simultaneously, an extended reduction is also introduced to axiomatize the pseudo core. Furthermore, this paper adopts the duality results of linear programming theory to determine the non-emptiness of the pseudo core. By investigating the domination among payoff vectors, this article also proposes the dominance core and related coincidences between the pseudo core and the dominance core.
Keywords: The core; Consistency; Reduction; Non-emptiness; Domination (search for similar items in EconPapers)
JEL-codes: C70 C71 D70 (search for similar items in EconPapers)
Date: 2014
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