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Games and Cooperation Indices

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  • Amer, Rafel
  • Carreras, Francesc

Abstract

We provide a model for quantitatively restricted cooperation. It leads to a modification of both game and the Shapley value whose properties are studied, giving rise to an axiomatic characterisation. An individually rational extension of the Myerson value is included, as well as a description of several former restriction methods that are shown to be generalized by our model.

Suggested Citation

  • Amer, Rafel & Carreras, Francesc, 1995. "Games and Cooperation Indices," International Journal of Game Theory, Springer;Game Theory Society, vol. 24(3), pages 239-258.
    • Handle: RePEc:spr:jogath:v:24:y:1995:i:3:p:239-58
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    Cited by:

    1. Antonio Magaña & Francesc Carreras, 2018. "Coalition Formation and Stability," Group Decision and Negotiation, Springer, vol. 27(3), pages 467-502, June.
    2. Emilio Calvo & J. Javier Lasaga, 1997. "Probabilistic Graphs and Power Indices," Journal of Theoretical Politics, , vol. 9(4), pages 477-501, October.
    3. Tido Takeng, Rodrigue, 2022. "Uncertain production environment and communication structure," Journal of Mathematical Economics, Elsevier, vol. 102(C).
    4. Martí Jané Ballarín, 2023. "The essential coalitions index in games with restricted cooperation," UB School of Economics Working Papers 2023/449, University of Barcelona School of Economics.
    5. Hamiache, Gerard, 1999. "A Value with Incomplete Communication," Games and Economic Behavior, Elsevier, vol. 26(1), pages 59-78, January.
    6. Carreras, Francesc & Freixas, Josep & Puente, Maria Albina, 2003. "Semivalues as power indices," European Journal of Operational Research, Elsevier, vol. 149(3), pages 676-687, September.
    7. Takashi Ui & Hiroyuki Kojima & Atsushi Kajii, 2011. "The Myerson value for complete coalition structures," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 74(3), pages 427-443, December.

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