Mathematical model of intersectoral coordination of development strategies (on the example of healthcare and aircraft industry)

The article examines the expediency of joint coordination of different industries policies to create products, including public goods. The article also assesses losses due to imperfect coordination. For this purpose, the paper proposes a model of choosing strategies of the interacting industries development (on the example of healthcare and aircraft industry, in the part of sanitary aviation development) with varying degrees of their coordination with each other and with national interests. Egoistic strategies of industries are studied, when each industry has its own private utility function that does not coincide with the public utility function, and strategies of industries with co-directed interests, when the private utility functions of industries are co-directed with the public utility function, but there is no information interaction between industries. The costs of industries and the total costs of the state are calculated depending on the degree of policy coordination between them, the rules of interaction in the creation of public goods and the policy of their financing by the state. The public welfare losses from imperfect coordination of development strategies are estimated. Based on realistic initial data on the parameters of industries, a strategy, that leads to the worst consequences for public welfare, has been determined. The consequences criticality of the presence of costly industries incentives and information barriers is compared. The necessary conditions of effective, from the point of the national economy view, interaction between industries are determined, such as the formation of cost-effective mechanisms (incentives) for industries and the availability of mathematical models that allow all parties to clearly see their possible costs and benefits, and calculate optimal solutions.