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Regular version of the site

Article

Typology of Networks and Equilibria in a Network Game with Production and Knowledge Externalities

Automation and Remote Control. 2019. Vol. 80. No. 3. P. 556-575.
Matveenko V., Korolev A. V.

This paper considers a network game as follows. In each node of a network, economy
is described by the simple two-period Romer’s model of endogenous growth with production
and knowledge externalities. The sum of knowledge levels in the neighbor nodes causes an
externality in the production of each network node. The concept of node type is introduced
and a corresponding typology of networks is suggested. As demonstrated below, all inner
equilibria of the game are determined by this typology. For several typologies, the equilibrium
knowledge levels are found in explicit form for the nodes that have different positions in the
network.