Abstract: A model is proposed for generating a mineral raw materials development program in a resource-rich region. The model is based on a special mechanism of public-private partnership with a consortium. The main idea of the partnership model is to cluster mine fields and set up a system of consortia of private investors who jointly implement projects to construct the necessary production infrastructure in the cluster. Such a mechanism is based on the search for a compromise between the interests of the government and private investors, ensuring a Stackelberg equilibrium. In the process of interaction (two periods, sequential choice), the government acts as a leader by setting quotas on the compensations for the consortia’s costs of implementing the infrastructure projects. The system of consortia plays the role of a follower by rationally choosing the infrastructure development program that ensures the profitability of the development projects for private investors, taking into account the costs of shared construction and the compensation schedule offered by the government. This approach allows one to form a targeted development plan by solving a bilevel problem of mathematical programming. This plan determines for each consortium a list of implemented infrastructure projects and, for private investors, a schedule of infrastructure costs and their compensations from the budget. It is proven that the problem of the government belongs to the class of \Sigma^P_2-hard problems associated with the second level of the polynomial hierarchy. The main directions are proposed in searching for efficient solution algorithms based on metaheuristics and enabling the solution of high-dimensional problems.

Cite: Lavlinskii S. , Panin A. , Plyasunov A.
Public-Private Partnership Model with a Consortium
22nd International conference "Mathematical Optimization Theory and Operations Research" 02-08 Jul 2023