In this lecture, we will analyze on the one hand the evolution of the negotiations in the development of the Annan plan to its fifth version, while insisting on the drafting of the protocol of coalition and on the other hand on its mediological impact as well intrinsic as extrinsic from the european point of view, in order to study via the paradigmatic case of the cypriot problem, the complexity of the geostrategic conflicts. We will try in particular to show via the game theory how the latter can be surinterpreted as generalized forms of Nash equilibriums within the framework of non cooperative systems which games are not with profit of null sum.