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

Leandro Chaves Rêgo () and Giannini Italino Alves Vieira ()
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Leandro Chaves Rêgo: Universidade Federal do Ceará
Giannini Italino Alves Vieira: Universidade Federal do Ceará

Group Decision and Negotiation, 2017, vol. 26, issue 4, No 7, 775-792

Abstract: 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.

Keywords: Conflict; Graph model; Stability notions; Coalitions; Preference structures (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10726-016-9520-8

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