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Dividend approach and level consistency for the Derks and Peters value

Author

Listed:
  • Yu-Hsien Liao

    (Department of Mathematics, Chung Jen College of Nursing, Health Science and Management)

Abstract

Different from the potential approach of Hart and Mas-Colell (1989), we provide the dividend approach to multi-choice games. Also, we define the level-reduced game by reducing the number of the activity levels and define related consistency on multi-choice games.

Suggested Citation

  • Yu-Hsien Liao, 2009. "Dividend approach and level consistency for the Derks and Peters value," Economics Bulletin, AccessEcon, vol. 29(2), pages 1054-1062.
    • Handle: RePEc:ebl:ecbull:eb-08c70065
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    File URL: http://www.accessecon.com/Pubs/EB/2009/Volume29/EB-09-V29-I2-P53.pdf
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    References listed on IDEAS

    as
    1. Hwang, Yan-An & Liao, Yu-Hsien, 2008. "Potential approach and characterizations of a Shapley value in multi-choice games," Mathematical Social Sciences, Elsevier, vol. 56(3), pages 321-335, November.
    2. Derks, Jean & Peters, Hans, 1993. "A Shapley Value for Games with Restricted Coalitions," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(4), pages 351-360.
    3. Hsiao, Chih-Ru & Raghavan, T E S, 1992. "Monotonicity and Dummy Free Property for Multi-choice Cooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(3), pages 301-312.
    4. Hsiao, Chih-Ru & Yeh, Yeong-Nan & Mo, Jie-Ping, 1994. "The Potential of Multi-choice Cooperative Games," MPRA Paper 15007, University Library of Munich, Germany.
    5. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
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    Cited by:

    1. Hsiao, Chih-Ru, 2011. "A Review on Liao’s Dissertation Entitled “The Solutions on Multi-choice Games” and Related Publications," MPRA Paper 30260, University Library of Munich, Germany.

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    More about this item

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

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