Creative intergenerational teams, which should be helped by start-ups and business incubators, are the basis of the country's innovation potential and an important area of employment for university graduates. A significant problem is ensuring their dynamic and developmental stability. The theoretical apparatus developed by E. and V. Ostrom, who researched social communities using the tools of game theory in solving a problem such as the "tragedy of commons", can be used to propose recommendations on how to solve this problem. Due to the fact that in the case of creative intergenerational teams it is a different type of community, the results are also important in the field of basic research.