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Acknowledged systems of systems (SoS) lie on a continuum between authoritarian central control and anarchy. The constituent systems are independent, with a life and purpose of their own. The systems require not only technical interfaces, but also social interactions, to create the SoS. A fuzzy optimization process may be used to select a desirable SoS configuration, but it may be unachievable due to the inability to persuade the systems to cooperate in the plan. Modeling the systems’ internal decision processes could help understand how to design better SoS architectures. This research used generic, modular modeling processes to examine two proposed SoS architectures and the impact of degree of cooperation on the suitability of the achieved SoS.