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Consistency and dynamic approach of indexes

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  • Yan-An Hwang
  • Yu-Hsien Liao

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  • Yan-An Hwang & Yu-Hsien Liao, 2010. "Consistency and dynamic approach of indexes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 34(4), pages 679-694, April.
    • Handle: RePEc:spr:sochwe:v:34:y:2010:i:4:p:679-694
    DOI: 10.1007/s00355-009-0423-3
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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, 2009. "An NTU value under complement reduced game," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(3), pages 305-324, November.
    3. Federico Valenciano & Annick Laruelle, 2000. "- Shapley-Shubik And Banzhaf Indices Revisited," Working Papers. Serie AD 2000-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    4. Yan-An Hwang & Jie-Hau Li & Yaw-Hwa Hsiao, 2005. "A dynamic approach to the Shapley value based on associated games," International Journal of Game Theory, Springer;Game Theory Society, vol. 33(4), pages 551-562, November.
    5. Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
    6. Gérard Hamiache, 2001. "Associated consistency and Shapley value," International Journal of Game Theory, Springer;Game Theory Society, vol. 30(2), pages 279-289.
    7. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(4), pages 389-407.
    8. (*), Gerard van der Laan & RenÊ van den Brink, 1998. "Axiomatizations of the normalized Banzhaf value and the Shapley value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 567-582.
    9. Lehrer, E, 1988. "An Axiomatization of the Banzhaf Value," International Journal of Game Theory, Springer;Game Theory Society, vol. 17(2), pages 89-99.
    10. Andrzej S. Nowak, 1997. "note: On an Axiomatization of the Banzhaf Value without the Additivity Axiom," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(1), pages 137-141.
    11. Haller, Hans, 1994. "Collusion Properties of Values," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(3), pages 261-281.
    12. Hart, Sergiu & Mas-Colell, Andreu, 1989. "Potential, Value, and Consistency," Econometrica, Econometric Society, vol. 57(3), pages 589-614, May.
    13. Pradeep Dubey & Lloyd S. Shapley, 1979. "Mathematical Properties of the Banzhaf Power Index," Mathematics of Operations Research, INFORMS, vol. 4(2), pages 99-131, May.
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    Cited by:

    1. Yu-Hsien Liao, 2022. "A Weighted Solution Concept under Replicated Behavior," Mathematics, MDPI, vol. 11(1), pages 1-12, December.
    2. Yan-An Hwang & Yu-Hsien Liao, 2022. "The Replicated Core under Multi-Choice Non-Transferable- Utility Situations: Converse Reduction Axiomatic Enlargements," Mathematics, MDPI, vol. 10(5), pages 1-8, March.

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