The implementation of construction circular economics (CCE) will encourage higher green economic growth. The circular approach will be part of connected construction and is an approach that integrates processes and products from design to construction execution and then to the management of buildings, properties, and assets. Decision making for CCE involves many stakeholders who are involved in the entire connection process. In such situations, integration and negotiating support are needed. The aim of this study is to find the theoretical basis of decisions that allow stakeholders to share different preferences when selecting CCE options for the circular economic prototype of building systems. As a result, five dominant factors are obtained: the sustainability of the building system, energy efficiency, capture value creation, a high-level three-party consortia, risk allocation, and transfer. Each stakeholder has their own preferences, and these will determine the different priority of the alternatives to be selected. Finally, the priority of alternative choices is determined based on the connected construction process. A comparison of what is desirable for all stakeholders is the basis of choice before negotiations are carried out. Furthermore, negotiation automation can be achieved because in this paper, the satisficing algorithm is applied to the decision model and stakeholder integration. Optimal payoff and the best-fitting option based on coalition are important and interesting avenues for future research.