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Strategic behaviour in the mean field Ising game

Author

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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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    5. Leonidov, Andrey & Savvateev, Alexey & Semenov, Andrew G., 2024. "Ising game on graphs," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    6. Shota Fujishima, 2015. "The emergence of cooperation through leadership," International Journal of Game Theory, Springer;Game Theory Society, vol. 44(1), pages 17-36, February.
    7. Mengel, Friederike, 2014. "Learning by (limited) forward looking players," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 59-77.
    8. Lawrence Blume & Steven Durlauf, 2003. "Equilibrium Concepts for Social Interaction Models," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 5(03), pages 193-209.
    9. Burdzy, Krzysztof & Frankel, David M & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Econometrica, Econometric Society, vol. 69(1), pages 163-189, January.
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    Cited by:

    1. Leonidov, A. & Vasilyev, S. & Vasilyeva, E., 2025. "On consensus equilibria in a multilayered multiagent system," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).

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