IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v187y2024ics0960077924009688.html
   My bibliography  Save this article

Strategic behaviour in the mean field Ising game

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924009688
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.chaos.2024.115416?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. William A. Brock & Steven N. Durlauf, 2001. "Discrete Choice with Social Interactions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 68(2), pages 235-260.
    4. Leonidov, Andrey & Savvateev, Alexey & Semenov, Andrew G., 2024. "Ising game on graphs," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    5. 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.
    6. Mengel, Friederike, 2014. "Learning by (limited) forward looking players," Journal of Economic Behavior & Organization, Elsevier, vol. 108(C), pages 59-77.
    7. Antonov, A. & Leonidov, A. & Semenov, A., 2021. "Self-excited Ising game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    8. Leonidov, Andrey & Vasilyeva, Ekaterina, 2022. "Strategic stiffening/cooling in the Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    9. Yannis Ioannides, 2006. "Topologies of social interactions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 559-584, August.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Leonidov, Andrey & Vasilyeva, Ekaterina, 2022. "Strategic stiffening/cooling in the Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    2. João Amaro de Matos & Pedro Barros, 2004. "Social Norms and the Paradox of Elections’ Turnout," Public Choice, Springer, vol. 121(1), pages 239-255, October.
    3. Grajzl, Peter & Baniak, Andrzej, 2012. "Mandating behavioral conformity in social groups with conformist members," Journal of Economic Behavior & Organization, Elsevier, vol. 82(2), pages 479-493.
    4. Evstigneev, Igor & Taksar, Michael, 2009. "Dynamic interaction models of economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 166-182, January.
    5. Elenna R. Dugundji & László Gulyás, 2013. "Structure and emergence in a nested logit model with social and spatial interactions," Computational and Mathematical Organization Theory, Springer, vol. 19(2), pages 151-203, June.
    6. H Peyton Young, 2014. "The Evolution of Social Norms," Economics Series Working Papers 726, University of Oxford, Department of Economics.
    7. Horst, Ulrich & Scheinkman, Jose A., 2006. "Equilibria in systems of social interactions," Journal of Economic Theory, Elsevier, vol. 130(1), pages 44-77, September.
    8. Denis Phan, 2006. "Discrete Choices under Social Influence:Generic Properties," Post-Print halshs-00105857, HAL.
    9. He, Xue-Zhong & Li, Kai & Santi, Caterina & Shi, Lei, 2022. "Social interaction, volatility clustering, and momentum," Journal of Economic Behavior & Organization, Elsevier, vol. 203(C), pages 125-149.
    10. Le Breton, Michel & Weber, Shlomo, 2009. "Existence of Pure Strategies Nash Equilibria in Social Interaction Games with Dyadic Externalities," CEPR Discussion Papers 7279, C.E.P.R. Discussion Papers.
    11. DavidP. Myatt & Chris Wallace, 2009. "Evolution, Teamwork and Collective Action: Production Targets in the Private Provision of Public Goods," Economic Journal, Royal Economic Society, vol. 119(534), pages 61-90, January.
    12. Blume,L.E. & Durlauf,S.N., 2005. "Identifying social interactions : a review," Working papers 12, Wisconsin Madison - Social Systems.
    13. Flaschel, Peter & Charpe, Matthieu & Galanis, Giorgos & Proaño, Christian R. & Veneziani, Roberto, 2018. "Macroeconomic and stock market interactions with endogenous aggregate sentiment dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 237-256.
    14. Marsiglio, Simone & Tolotti, Marco, 2024. "Complexity in low-carbon transitions: Uncertainty and policy implications," Energy Economics, Elsevier, vol. 138(C).
    15. Vinayak, Pragun & Dias, Felipe F. & Astroza, Sebastian & Bhat, Chandra R. & Pendyala, Ram M. & Garikapati, Venu M., 2018. "Accounting for multi-dimensional dependencies among decision-makers within a generalized model framework: An application to understanding shared mobility service usage levels," Transport Policy, Elsevier, vol. 72(C), pages 129-137.
    16. Katarzyna Ostasiewicz & Michal H. Tyc & Piotr Goliczewski & Piotr Magnuszewski & Andrzej Radosz & Jan Sendzimir, 2006. "Integrating economic and psychological insights in binary choice models with social interactions," Papers physics/0609170, arXiv.org.
    17. Simone Marsiglio & Marco Tolotti, 2024. "The tourism area life cycle hypothesis: A micro-foundation," Tourism Economics, , vol. 30(2), pages 345-360, March.
    18. Simone Marsiglio & Marco Tolotti, 2018. "Endogenous growth and technological progress with innovation driven by social interactions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 293-328, March.
    19. Horst, Ulrich, 2010. "Dynamic systems of social interactions," Journal of Economic Behavior & Organization, Elsevier, vol. 73(2), pages 158-170, February.
    20. Tolotti, Marco & Yepez, Jorge, 2020. "Hotelling-Bertrand duopoly competition under firm-specific network effects," Journal of Economic Behavior & Organization, Elsevier, vol. 176(C), pages 105-128.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:187:y:2024:i:c:s0960077924009688. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.