Public-Private Partnership Concerning Infrastructure Projectsin a Resource Region: A Model Based on a Consortium of Subsoil Users

We propose a model for the formation of a resource region development program using a special mechanism of public-private partnership. It is based on the clustering of fields and the creation of a system of consortia of private investors jointly implementing projects for the construction of the necessary production infrastructure. The mechanism for achieving a compromise between the interests of the government and private investors uses the Stackelberg model, in which the government is the leader. It determines quotas of compensation of consortia’s costs for the implementation of infrastructure projects. The role of the follower is assigned to the system of consortia, which forms the program of infrastructure construction. The solution of the corresponding bilevel mathematical programming problem allows us to form a targeted development plan. Its components are lists of infrastructure projects to be implemented in consortia, as well as schedules of costs for shared construction of infrastructure and their compensation from the budget for private investors. It is shown that the government problem is $$ \Sigma ^P_2 $$ -hard and belongs to the class $$ \Sigma ^P_2\text {O} $$ if the variables defining the transfer schedule take only integer values. A new stochastic approximate hybrid algorithm is developed to solve the two-level problem based on metaheuristics using the ideas of coordinate descent. The results of calculations on real data for the Zabaikalsky Krai allow us to formulate a set of practical recommendations on the formation of the mechanism of shared construction and the policy of compensation payments.