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Alternative Reductions and Axiomatizations of the Unit-Level-Core

Author

Listed:
  • 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)

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.

Suggested Citation

  • Ling-Yun Chung & Yu-Hsien Liao & Wen-Ying Hsieh & Tsu-Yin Chen & Chen-Kun Lin, 2016. "Alternative Reductions and Axiomatizations of the Unit-Level-Core," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-15, December.
    • Handle: RePEc:wsi:apjorx:v:33:y:2016:i:06:n:s0217595916500524
    DOI: 10.1142/S0217595916500524
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    References listed on IDEAS

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    1. Moulin, Herve, 1985. "The separability axiom and equal-sharing methods," Journal of Economic Theory, Elsevier, vol. 36(1), pages 120-148, June.
    2. Yan-An Hwang & Yu-Hsien Liao, 2010. "The unit-level-core for multi-choice games: the replicated core for TU games," Journal of Global Optimization, Springer, vol. 47(2), pages 161-171, June.
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