Scientific publications

В.И. Жуковский, К.Н. Кудрявцев, Л.В. Жуковская, И.С. Стабулит.

К индивидуальной устойчивости паретовского равновесия угроз и контругроз в одной коалиционной дифференциальной игре с нетрансферабельными выигрышами

// Математическая Теория Игр и ее Приложения, т. 13, в. 1. 2021. C. 89-101

Keywords: network games, differential games, Nash equilibrium, Brounian motion, stochastic differential equations, Ito’s Lemma, heterogeneous agents, productivity

In this paper, stochastic parameters are introduced into the network games model with production and knowledges externalities. This model was formulated by V. Matveenko and A. Korolev and generalized two-period Romer model. Agents’ productivities have deterministic and Wiener components. The research represents the dynamics of a single agent and the dynamics in a triangle which occurs in the process of unifying agents. Explicit expressions of the dynamics of a single agent and dyad agents in the form of Brownian random processes were obtained. A qualitative analysis of the solutions of stochastic equations and systems was carried out.

DOI: 10.17076/mgta_2021_1_32

Indexed at RSCI, RSCI (WS)

vol13_1_089-101_zhukovskii.pdf (116 Kb, total downloads: 108)

Last modified: March 25, 2021