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Game Equilibria and Transition Dynamics in a Dyad with Heterogeneous Agents

  • MATHEMATICAL GAME THEORY AND APPLICATIONS
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Abstract

In this paper, the game-theoretic model with production and knowledge externalities on a network with two time periods formulated by Matveenko and Korolev is further developed. This model is an extension of the Romer two-period model. The simplest complete network with heterogeneous agents—the dyad with agents differing by their productivity—is considered. Dynamics in the dyad are studied. All possible game equilibria in the dyad and the conditions of their existence are found. Conditions for the dynamic stability of equilibria are established.

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Authors and Affiliations

  1. National Research University Higher School of Economics, St. Petersburg Branch, St. Petersburg, 190121, Russia

    A. O. Kiselev & N. I. Yurchenko

Authors
  1. A. O. Kiselev
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  2. N. I. Yurchenko
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Correspondence to A. O. Kiselev or N. I. Yurchenko.

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Translated by V. Potapchouck

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Kiselev, A.O., Yurchenko, N.I. Game Equilibria and Transition Dynamics in a Dyad with Heterogeneous Agents. Autom Remote Control 82, 549–564 (2021). https://doi.org/10.1134/S0005117921030140

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  • DOI: https://doi.org/10.1134/S0005117921030140

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