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The NTU consistent coalitional value

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Author Info

  • Gustavo Bergantiños

    (University of Vigo)

  • Juan Vidal-Puga

    (University of Vigo)

Abstract

We introduce a new value for NTU games with coalition structure. This value coincides with the consistent value for trivial coalition structures, and with the Owen value for TU games with coalition structure. Furthermore, we present two characterizations: the first one using a consistency property and the second one using balanced contributions properties.

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File URL: http://128.118.178.162/eps/game/papers/0303/0303007.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Game Theory and Information with number 0303007.

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Length: 37 pages
Date of creation: 24 Mar 2003
Date of revision:
Handle: RePEc:wpa:wuwpga:0303007

Note: Type of Document - Tex; prepared on IBM PC - PC-TEX; to print on HP; pages: 37 ; figures: included
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Web page: http://128.118.178.162

Related research

Keywords: consistent coalition structure value NTU balanced contributions;

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References

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  1. Winter, Eyal, 1991. "On Non-transferable Utility Games with Coalition Structure," International Journal of Game Theory, Springer, vol. 20(1), pages 53-63.
  2. Roger B. Myerson, 1978. "Conference Structures and Fair Allocation Rules," Discussion Papers 363, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  3. Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
  4. Aumann, Robert J, 1985. "An Axiomatization of the Non-transferable Utility Value," Econometrica, Econometric Society, vol. 53(3), pages 599-612, May.
  5. Calvo, Emilio & Javier Lasaga, J. & Winter, Eyal, 1996. "The principle of balanced contributions and hierarchies of cooperation," Mathematical Social Sciences, Elsevier, vol. 31(3), pages 171-182, June.
  6. Eyal Winter, 1989. "The Consistency and Potential for Values of Games with Coalition Structure," Discussion Paper Serie A 242, University of Bonn, Germany.
  7. Maschler, M & Owen, G, 1989. "The Consistent Shapley Value for Hyperplane Games," International Journal of Game Theory, Springer, vol. 18(4), pages 389-407.
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Cited by:
  1. Gustavo Bergantiños & Balbina Casas- Méndez & Gloria Fiestras- Janeiro & Juan Vidal-Puga, 2005. "A Focal-Point Solution for Bargaining Problems with Coalition Structure," Game Theory and Information 0511006, EconWPA.
  2. Gómez-Rúa, María & Vidal-Puga, Juan, 2010. "The axiomatic approach to three values in games with coalition structure," European Journal of Operational Research, Elsevier, vol. 207(2), pages 795-806, December.

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