Non-Emptiness, Relative Coincidences and Axiomatic Results for the Precore

Yan-An Hwang and Yu-Hsien Liao ()
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Yan-An Hwang: Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan
Yu-Hsien Liao: Department of Applied Mathematics, National Pingtung University, Pingtung 900, Taiwan

Mathematics, 2023, vol. 11, issue 13, 1-12

Abstract: Taking into account the definition of the precore, we initially analyze its non-emptiness using duality results from linear programming theory. We then introduce the dominance core to investigate the coincident relations between the precore and dominance core. Finally, we propose specific reduction approaches to axiomatize the precore.

Keywords: the precore; the dominance core; non-emptiness; reduction (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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