Coalition analysis is extended to incorporate uncertain preference into
three stability concepts, general metarationality (GMR), symmetric metarationality
(SMR), and sequential stability (SEQ) under the paradigm of the graph model
for conflict resolution. As a follow-up analysis in a graph model for strategic
conflict, coalition analysis aims to assess whether equilibriums under
individual calculations are vulnerable to coalition moves and countermoves
and, hence, become unstable under coalition stabilities. Coalition analysis
has been considered for transitive graph models with simple preference
under four stabilities, Nash, GMR, SMR, and SEQ. A recent study is devoted
to incorporating preference uncertainty into coalition Nash stability.
This research introduces preference uncertainty into coalition stabilities
under GMR, SMR, and SEQ for general graph models that can be transitive
or intransitive. Depending on the focal coalition's different attitudes
towards preference uncertainty, four different extensions are presented.
Interrelationships of coalition stabilities are investigated within each
extension and across the four extensions. A case study is carried out to
illustrate how to apply the proposed extensions. |