Adjustment Dynamics in a Network Game with Stochastic Parameters

In this paper, stochastic parameters are introduced into the network games model with production and externalities of knowledge. This model was formulated by V. Matveenko and A. Korolev and generalized the two-period Romer model. The 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