Adjustment dynamics in network game with stochastic parameters

  • Ольга Николаевна Волкова National Research University Higher School of Economics at St. Petersburg
  • Olga Volkova National Research University Higher School of Economics at St. Petersburg
  • Дарина Аскеровна Вологина National Research University Higher School of Economics at St. Petersburg
  • Darina Vologina National Research University Higher School of Economics at St. Petersburg
  • Алексей Васильевич Королев National Research University Higher School of Economics at St. Petersburg
  • Alexey Korolev National Research University Higher School of Economics at St. Petersburg
DOI: https://doi.org/10.17076/mgta_2022_1_43
Keywords: network games, differential games, productivity, heterogeneous agents, stochastic differential equations, Brownian process

Abstract

In this paper, stochastic parameters are introduced into the network games model with production and knowledge's externalities. This model was formulated by V. Matveenko and A. Korolev and generalized two-period Romer model. Agents' productivities have deterministic and Wiener components. We consider the dynamics that occur when two complete networks are combined. Explicit expressions in the form of Brownian random processes are obtained. A qualitative analysis of the solution of a system of stochastic equations is carried out.

Published
2023-01-18
How to Cite
Волкова, О., Volkova, O., Вологина, Д., Vologina, D., Королев, А., & Korolev, A. (2023). Adjustment dynamics in network game with stochastic parameters. Mathematical Game Theory and Applications, 14(1), 21-48. https://doi.org/10.17076/mgta_2022_1_43
Issue
Vol 14 No 1 (2022): Mathematical game theory and applications
Section
Статьи
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.