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Strategic behaviour in the mean field Ising game

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  • Leonidov, A.
  • Radionov, S.
  • Vasilyeva, E.

Abstract

The properties of the mean field version of the Ising game of far-sighted agents on a complete graph are considered. General evolution equation for arbitrary yield of simultaneously decision-making agents is derived. Analytical expressions demonstrating strategic stiffening/cooling in the limits of small and large yield of simultaneously decision-making agents are derived.

Suggested Citation

  • Leonidov, A. & Radionov, S. & Vasilyeva, E., 2024. "Strategic behaviour in the mean field Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    • Handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009688
    DOI: 10.1016/j.chaos.2024.115416
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    References listed on IDEAS

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    1. Antonov, A. & Leonidov, A. & Semenov, A., 2021. "Self-excited Ising game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    2. Leonidov, Andrey & Vasilyeva, Ekaterina, 2022. "Strategic stiffening/cooling in the Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
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