A group of intelligent agents which fulfill a set of tasks in parallel is represented first by the tensor multiplication of corresponding processes in a linear logic game category. Anoptimalitineraryintheconfigurationspaceof the group states is defined as a play with maximal total reward in the category. New moments also are: therewardisrepresentedasadegreeofcertainty (visibility) of an agent goal, and the system goalsare chosen by the greatest value corresponding to these processes in the system goal lattice.