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- Title
Game Equilibria and Transition Dynamics in Complete Networks and in a Triangle with Heterogeneous Agents.
- Authors
Garmash, M. V.; Kaneva, X. A.
- Abstract
The game equilibrium in networks described by the two-period Romer model of endogenous growth with production and knowledge externalities is considered. In the first period, each agent can invest some share of his resources. In the second period, the consumption depends on his investment and productivity as well as the investments of his network neighbors. The unification dynamics are described by a system of difference equations. For a complete network with an arbitrary number of homogeneous agents and also for a triangle (a complete network with three types of agents possessing different productivities), possible equilibria are studied and their dynamic stability under different combinations of the game parameters is analyzed.
- Subjects
TRIANGLES; DYNAMIC stability; NONCOOPERATIVE games (Mathematics); DIFFERENCE equations; EQUILIBRIUM; NASH equilibrium
- Publication
Automation & Remote Control, 2020, Vol 81, Issue 6, p1149
- ISSN
0005-1179
- Publication type
Article
- DOI
10.1134/S0005117920060144