Чистое равновесие Нэша в двух-шаговой игре ценообразования: покрытие торговых точек в туристическом городе

Дискретный анализ и исследование операций. 2023. Т. 30. № 1. С. 5–27.

Gusev V.

The economy of small tourist towns has unique characteristics. Basically, small business in such towns is aimed at meeting tourists’ needs. The competition between entrepreneurs engaged in service provision makes the pricing problem relevant. Some entrepreneurs need to define their goods value and decide where to sell them. If an entrepreneur often changes the sell point due to the competition, he may lose the profit. An interesting case is when the sell point choice is based on pure strategies. By the concept of congestion games with player-specific payoff functions and ordinal potential functions, the paper demonstrates the pricing game equilibrium under inherent restrictions. An equilibrium distribution of individual entrepreneurs by sell points in Gelendzhik is found.

Keywords: теория игр, game theory, potential games, pure Nash equilibrium, pricing game, чистое равновесие Нэша, игра ценообразования, потенциальные игры

Publication based on the results of: New game-theoretic methods to resource allocation problems (2022)