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Alternative Generalized Metarationalities for Multiple Decision-Maker Conflicts

Author

Listed:
  • Leandro Chaves Rêgo

    (Universidade Federal do Ceará
    Universidade Federal de Pernambuco)

  • Giannini Italino Alves Vieira

    (Universidade Federal do Ceará)

Abstract

In this paper, we present an alternative definition for the generalized metarational stability concept to conflicts with n-decision makers (DMs) in the context of the graph model for conflict resolution. Our motivation to present this proposal lies on the fact that unlike the original definition of generalized metarationality for n-DMs, our definition coincides with the definition of generalized metarationality for conflicts involving only two DMs. Moreover, our definition also includes the symmetric metarational stability as a particular case. We also establish some properties satisfied by the proposed alternative definition.

Suggested Citation

  • Leandro Chaves Rêgo & Giannini Italino Alves Vieira, 2020. "Alternative Generalized Metarationalities for Multiple Decision-Maker Conflicts," Group Decision and Negotiation, Springer, vol. 29(3), pages 461-490, June.
    • Handle: RePEc:spr:grdene:v:29:y:2020:i:3:d:10.1007_s10726-020-09665-3
    DOI: 10.1007/s10726-020-09665-3
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    References listed on IDEAS

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    1. Martin J. Osborne & Ariel Rubinstein, 1994. "A Course in Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262650401, December.
    2. D. Marc Kilgour & Keith W. Hipel, 2005. "The Graph Model for Conflict Resolution: Past, Present, and Future," Group Decision and Negotiation, Springer, vol. 14(6), pages 441-460, November.
    3. Dao-Zhi Zeng & Liping Fang & Keith Hipel & D. Kilgour, 2004. "Policy Stable States in the Graph Model for Conflict Resolution," Theory and Decision, Springer, vol. 57(4), pages 345-365, December.
    4. Haiyan Xu & D. Marc Kilgour & Keith W. Hipel, 2011. "Matrix Representation of Conflict Resolution in Multiple-Decision-Maker Graph Models with Preference Uncertainty," Group Decision and Negotiation, Springer, vol. 20(6), pages 755-779, November.
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