Investigation of Mathematical Economic Model of Localized Grain Market
Abstract
In the paper, a simplified mathematical economic model of a localized grain market is investigated. Model assumptions are the following: the market structure is a monopsony, spatial distribution of market participants and transportation and marketing costs are not considered, the market is a single-product market, there is no grain resale among manufacturers. Grain market participants are grain manufacturers and grain processing companies. The grain processing companies dominate the market and set a grain purchasing price. The grain manufacturers determine the supply quantity to satisfy the needs of the grain processing companies. The simulated system is presented in a game-theoretic and aggregate form. The paper demonstrates and investigates features of three types of solutions: a G1 strategies solution, a Nash’s equilibrium solution, and guaranteed results under the assumption that the market is in equilibrium state. It is proved that the solution for this model is a Nash’s equilibrium solution under a certain conditions applied to the cost function of grain manufacturers.
DOI 10.14258/izvasu(2015)1.2-23
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Понькина Е.В., Маничева А.С. Некоторые вопросы математического моделирования рассредоточенного рынка зерна // Известия Алт. гос. ун-та. - 2011. - № 1/1 (69).
Понькина Е.В., Захарова Ю.А. Модель рассредоточенного рынка при асимметрии распределения транспортных расходов между агентами // Известия Алт. гос. ун-та. - 2013. - № 1/2 (77). DOI:10.14258/ izvasu(2013) 1.2-18.
Гермейер Ю.Б. Игры с непротивоположными интересами. - М., 1976.
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