Abstract
In conflicts with many decision makers (DMs), it is unlikely that DMs are aware about all the options available to all DMs who take part in the conflict. In this work, the Graph Model for Conflict Resolution (GMCR) with interactive unawareness is generalized to handle multilateral conflicts. In this generalized model, in each conflict scenario a DM may not be aware about some of the conflict options. We also consider iterated levels of awareness, where a DM reasons about the awareness level of other DMs and about how other DMs reason about others awareness levels, and so on. In that generalized model, we propose other stability notions which are extensions of commonly used stability concepts in the GMCR and prove properties of such concepts. Finally, we apply the proposed model in the analysis of a modified version of the Elmira groundwater contamination conflict, where we show that under unawareness DMs may have misperception about the stability of some conflict scenarios.
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