Abstract
The textbook is intended to study mathematical models used to make optimal decisions in various markets and auctions, as well as to design new economic mechanisms. The first part outlines the basic concepts and results of the analysis of the basic models of perfect competition, monopoly and oligopoly in the market of a homogeneous product. Next, an analysis is made of the main types of one-side auctions: uniform price, pay-as-bid, and Vickrey auctions. A single price auction model with random demand and an energy market model with renewable energy sources and energy storages and consumption regulation using multi-part tariffs are studied. The problem of transport system optimization is solved for the network energy market model. The last part explores models of markets with horizontal and vertical differentiation of products and examines the impact of taxes on the functioning of markets with different structures. The textbook reflects the content of the lecture courses given at Faculty of computational mathematics and cybernetics and Moscow school of economics of Lomonosov Moscow State University. For students of mathematical and economic specialties, as well as specialists in the field of operations research, game theory and mathematical economics.
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