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Mathematical modeling of a multi-product dispersed market in the system of the world economy

Mathematical models are built that is the development of the Walras model of the economy, both centralized and decentralized spatially dispersed economic system with the interactions of subjects of perfect and imperfect competition. The novelty of this model is determined by the introduction into the model of market entities: households, with a description of their functioning using utility functions, these households consume resources for their existence - various types of goods and produce various types of labor to obtain goods;multi-product enterprises that buy various types of commodity and labor resources; resellers who distribute products between local markets and carry out the movement of various types of labor along with the transport network from households to enterprises. When searching for an equilibrium state, the tasks of market subjects in extreme formulations are used. By organizing various types of interactions between subjects in commodity markets, markets of both perfect and imperfect competition are built. Numerical methods for the analysis of the described models have been developed. Numerical methods for finding the equilibrium state of the considered models are based on vector optimization methods.