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Mean field model of a game for power

Author

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  • Karataieva, Tatiana
  • Koshmanenko, Volodymyr
  • Krawczyk, Małgorzata J.
  • Kułakowski, Krzysztof

Abstract

Our aim is to model a game for power (equivalent to total energy) as a dynamical process, where an excess of power possessed by a player allows him to gain even more power. Such a positive feedback is often termed as the Matthew effect. Analytical and numerical methods allow to identify a set of stationary states, i.e. fixed points of the model dynamics. The positions of the unstable fixed points give an insight on the basins of attraction of the stable fixed points. The results are interpreted in terms of modeling of coercive power.

Suggested Citation

  • Karataieva, Tatiana & Koshmanenko, Volodymyr & Krawczyk, Małgorzata J. & Kułakowski, Krzysztof, 2019. "Mean field model of a game for power," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 535-547.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:535-547
    DOI: 10.1016/j.physa.2019.03.110
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    1. Miszczak, Jarosław Adam, 2022. "Constructing games on networks for controlling the inequalities in the capital distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 594(C).

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