Alternative Reductions and Axiomatizations of the Unit-Level-Core

Ling-Yun Chung (), Yu-Hsien Liao, Wen-Ying Hsieh (), Tsu-Yin Chen () and Chen-Kun Lin ()
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Ling-Yun Chung: Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Taiwan
Yu-Hsien Liao: Department of Applied Mathematics, National Pingtung University, Pingtung City, Pingtung, Taiwan
Wen-Ying Hsieh: Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Taiwan
Tsu-Yin Chen: Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Taiwan
Chen-Kun Lin: Graduate School of Technological and Vocational Education, National Yunlin University of Science and Technology, Taiwan

Asia-Pacific Journal of Operational Research (APJOR), 2016, vol. 33, issue 06, 1-15

Abstract: By simultaneously considering both the players and the participation levels, we introduce two alternative definitions of the reduced games. Further, several axiomatizations of the unit-level-core are also obtained by applying related properties of consistency and its converse.

Keywords: Reduced game; the unit-level-core; consistency (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1142/S0217595916500524

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