Work Package 2 (WP2) deals with the definition of models for the operations and dynamics of hybrid and diversity- aware collective adaptive systems in terms of both information and computation. Starting from the formal data models developed in WP1, WP2 will enrich them with the notions of provenance, trust and reputation, which play a major role in hybrid CASs. The quest for predictability and long-term stability in HDA-CASs will drive the development of computational models thereof that allow us to predict measures of the system in operation. This will require the capacity to support extensions to simple models that incorporate game theory (in particular in bounded rationality games and evolutionary games). and will support the development of ideas in social computation with novel notions of “computability” and “complexity” for hybrid human-machine computations. WP2 will build on the outcomes of WP1 investigations, and will set the basis for the work to be carried out by WP3, WP4, WP5 and WP6.