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Potential In Multi-Choice Cooperative Tu Games

Author

Listed:
  • YAN-AN HWANG

    (Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan)

  • YU-HSIEN LIAO

    (Department of Applied Mathematics, National Dong Hwa University, Hualien 974, Taiwan)

Abstract

This paper is devoted to the study of solutions for multi-choice transferable-utility (TU) games which admit a potential, such as the potential associated with a solution in the context of multi-choice TU games. Several axiomatizations of the family of all solutions that admit a potential are offered and, as a main result, it is shown that each of these solutions can be obtained by applying the weighted associated consistent value proposed in this paper to an appropriately modified game. We also characterize the weighted associated consistent value by means of the weighted balanced contributions and the associated consistency.

Suggested Citation

  • Yan-An Hwang & Yu-Hsien Liao, 2008. "Potential In Multi-Choice Cooperative Tu Games," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 25(05), pages 591-611.
    • Handle: RePEc:wsi:apjorx:v:25:y:2008:i:05:n:s0217595908001900
    DOI: 10.1142/S0217595908001900
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    Cited by:

    1. Fanyong Meng & Qiang Zhang & Xiaohong Chen, 2017. "Fuzzy Multichoice Games with Fuzzy Characteristic Functions," Group Decision and Negotiation, Springer, vol. 26(3), pages 565-595, May.

    More about this item

    Keywords

    Multi-choice TU game; weighted balanced contributions; associated consistency; C70;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General

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