The article presents an integrated scientific and methodological model for modeling strategies for the equilibrium of socio-economic systems in the context of adaptive corporate management of public-private partnership projects in the field of academic entrepreneurship in the context of post-war recovery. The proposed approach combines the tools of integral analysis, stochastic differential equations and multi-criteria optimization, which allows describing the complex interaction between participants in partnership relations, taking into account dynamics, risks, time shifts of the effect, as well as strategic, economic and social goals that are heterogeneous in their content and significance. Thus, the model provides a mathematical platform for implementing adaptive management in conditions of uncertainty, which is a necessary condition for effective planning in academic entrepreneurship. The agent-oriented structure of the model allows taking into account the individual preferences of each participant in the system, reflected in the form of an intertemporal benefit function, where discounting shows a tendency towards short-term or long-term goals. Modeling on the example of twenty hypothetical objects with different weight configurations allowed to obtain a range of possible values of the optimal intensity of participation in the project, which depend on the priorities given to individual criteria. The results obtained can be used as an analytical basis for strategic planning, the formation of partnerships within the framework of public-private agreements, preliminary profiling of potential participants, as well as a tool for supporting decision-making in a dynamic environment. The developed model is capable of further adaptation by taking into account the specifics of the industry, region, level of institutional maturity and social capital, which ensures its practical relevance.
Ierokhin et al. (Tue,) studied this question.