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Abstracts

XVIII conference

Dynamics of competition in the markets for new products

Aganin Y.I.

E-Mail: eaganina08@mail.ru

The paper analyzes the dynamics of product propagation in markets for new

products. A system of three differential equations [1], [2], describes the

dynamics of supply of new substitute products by two competitors depending on

demand. A fourth differential equation describes the supply of credit to the

two firms depending on demand for products and production capacities of the two

firms. One of potential equilibrium involves temporary lack of demand for

products and a credit crunch with non-zero supply of products. If the two firms

have different efficiency in return on invested capital, this

outcome can only be an equilibrium, if one firm monopolizes the market. The

paper analyzes the stability of this equilibrium depending on model’s parameters

and shows that the monopolistic outcome can transform to a competitive

equilibrium when demand for products increases.

References

1, Аганин Ю.И. Устойчивость движения в динамической модели конкуренции. Пятые Юбилейные Курдюмовские чтения: «Синергетика в естественных науках» Материалы международной междисциплинарной научной конференции (часть 1) 16-18 апреля 2009г. Тверь с. 181–184.

2, Аганин Ю.И. Хищник-жертва. Динамическая модель конкуренции. «Математика, компьютер, образование. Сборник научных тезисов. Вып.10, часть 2 Пущино 19-24 января 2009 г. С 410.

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