Publications

Scientific publications

Щипцова А.В.
Задача о размещении
// Методы математического моделирования и информационные технологии. Труды ИПМИ КарНЦ РАН. Вып. 9. Петрозаводск: КарНЦ РАН, 2008. C. 63-69
Shchiptsova A.V. Location game on the plain // Methods of mathematical modeling and information technologies. Proceedings of IAMR KarRC RAS. Petrozavodsk: KarRC RAS, 2008. Pp. 63-69
We examine Hotelling's duopoly model on the plane. There are two firms located inside a circle. The first problem is to find the equilibrium prices with fixed firm's location, and the second problem is to find the equilibrium allocation of the firms inside the circle. The firms aim at maximal gain. In case of symmetrical location the optimal prices are derived. The equilibrium for allocation is also derived. Numerical calculation is given.

Trud_IPMI_9_063-69.pdf (129 Kb, total downloads: 155)

Last modified: December 15, 2008