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Moulin Reduction, V-N Reduction And Axiomatizations Of The Duplicate Core

Author

Listed:
  • YU-HSIEN LIAO

    (Department of Applied Mathematics, National Pingtung University of Education, Pingtung 900, Taiwan)

Abstract

In this paper, we extend to the multi-choice games cases the reduced games introduced by Moulin (1985) and Voorneveld and van den Nouweland (1998), respectively. Also, we provide several axiomatizations of the duplicate core on multi-choice games by means of the properties of consistency and its converse.

Suggested Citation

  • Yu-Hsien Liao, 2009. "Moulin Reduction, V-N Reduction And Axiomatizations Of The Duplicate Core," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 26(05), pages 623-636.
    • Handle: RePEc:wsi:apjorx:v:26:y:2009:i:05:n:s0217595909002365
    DOI: 10.1142/S0217595909002365
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    Cited by:

    1. 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.
    2. En-Cheng Chi & Yu-Hsien Liao, 2021. "Sustainable Usability Distribution Mechanisms under Multi-Attribute Sports Management Schemes," Sustainability, MDPI, vol. 13(3), pages 1-16, February.

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