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Symmetric Sequential Stability in the Graph Model for Conflict Resolution with Multiple Decision Makers

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  • Leandro Chaves Rêgo

    (Universidade Federal do Ceará)

  • Giannini Italino Alves Vieira

    (Universidade Federal do Ceará)

Abstract

In this work, we generalize a solution concept, called symmetric sequential stability (SSEQ), in the graph model for conflict resolution (GMCR) for conflicts involving n decision makers. We present new relations of this concept with existing stability definitions in the GMCR, namely: Nash stability, general metarational stability, symmetric metarational stability, sequential stability, limited-move stability of horizon 3 and credible metarational stable states of 2 rounds. We also present the SSEQ stability definition for a coalition and its relationship with existing solution concepts in that case. Finally, SSEQ stability is extended for GMCR with uncertain, probabilistic and fuzzy preferences.

Suggested Citation

  • Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2017. "Symmetric Sequential Stability in the Graph Model for Conflict Resolution with Multiple Decision Makers," Group Decision and Negotiation, Springer, vol. 26(4), pages 775-792, July.
    • Handle: RePEc:spr:grdene:v:26:y:2017:i:4:d:10.1007_s10726-016-9520-8
    DOI: 10.1007/s10726-016-9520-8
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    References listed on IDEAS

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    1. D. Marc Kilgour & Keith W. Hipel & Liping Fang & Xiaoyong (John) Peng, 2001. "Coalition Analysis in Group Decision Support," Group Decision and Negotiation, Springer, vol. 10(2), pages 159-175, March.
    2. Takehiro Inohara & Keith W. Hipel, 2008. "Coalition analysis in the graph model for conflict resolution," Systems Engineering, John Wiley & Sons, vol. 11(4), pages 343-359, December.
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