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JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2018 Volume 10, Issue 1, Pages 40–64 (Mi mgta213)

Game equilibria and transient dynamics in dyad with heterogeneous agents

Aleksey O. Kiselev, Nikolay I. Yurchenko

National Research University Higher School of Economics in St. Petersburg

Abstract: The article considers the development of the game model with the production and externalities of knowledge on a network with two-time periods, formulated in articles by V.D. Matveenko and A.V. Korolev. The simplest complete network with heterogeneous agents, the dyad, is considered. Agents differ in productivity. Dynamics in a dyad is considered. All possible game equilibria in the dyad and the conditions for their existence are found. Conditions for the dynamic stability of equilibria are determined.

Keywords: network, game equilibrium, heterogeneous agents, productivity, dyad.

UDC: 519.83, 519.86
BBK: 22.18



© Steklov Math. Inst. of RAS, 2025