IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v201y2025ip2s096007792501255x.html

On consensus equilibria in a multilayered multiagent system

Author

Listed:
  • Leonidov, A.
  • Vasilyev, S.
  • Vasilyeva, E.

Abstract

Game-theoretic static equilibria in multiagent two-layered consensus/opinion formation noisy binary choice model are studied. Both layers in the model are complete networks. Each player is present in both layers. Agent’s strategies with respect to the layers are interconnected. General asymmetric, symmetric and antisymmetric expectation/quantal response equilibria are analysed. Phase diagram of the model containing various types of phase transitions is analysed. We show in particular that even trivial equilibrium with zero mean choice in both layers is characterised by high interlayer correlation of the agents’ decisions. The correlation of such a kind might be viewed as a special kind of order, the interlayer one, as opposed to the intralayer order typical for the one-layer systems.

Suggested Citation

  • Leonidov, A. & Vasilyev, S. & Vasilyeva, E., 2025. "On consensus equilibria in a multilayered multiagent system," Chaos, Solitons & Fractals, Elsevier, vol. 201(P2).
    • Handle: RePEc:eee:chsofr:v:201:y:2025:i:p2:s096007792501255x
    DOI: 10.1016/j.chaos.2025.117242
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792501255X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.117242?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Poledna, Sebastian & Molina-Borboa, José Luis & Martínez-Jaramillo, Serafín & van der Leij, Marco & Thurner, Stefan, 2015. "The multi-layer network nature of systemic risk and its implications for the costs of financial crises," Journal of Financial Stability, Elsevier, vol. 20(C), pages 70-81.
    2. Antonov, A. & Leonidov, A. & Semenov, A., 2021. "Self-excited Ising game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 561(C).
    3. Leonidov, Andrey & Vasilyeva, Ekaterina, 2022. "Strategic stiffening/cooling in the Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
    4. 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.
    5. Blume, Lawrence E. & Brock, William A. & Durlauf, Steven N. & Ioannides, Yannis M., 2010. "Identification of Social Interactions," Economics Series 260, Institute for Advanced Studies.
    6. 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.
    7. Santo Fortunato & Vito Latora & Alessandro Pluchino & Andrea Rapisarda, 2005. "Vector Opinion Dynamics In A Bounded Confidence Consensus Model," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(10), pages 1535-1551.
    8. Steven N. Durlauf & Yannis M. Ioannides, 2010. "Social Interactions," Annual Review of Economics, Annual Reviews, vol. 2(1), pages 451-478, September.
    9. Leonidov, A. & Radionov, S. & Vasilyeva, E., 2024. "Strategic behaviour in the mean field Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    10. 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.
    11. Zhang, Wei & Brandes, Ulrik, 2023. "Conformity versus credibility: A coupled rumor-belief model," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    12. Diaz, I.J.L. & Branco, N.S., 2018. "Monte Carlo study of an anisotropic Ising multilayer with antiferromagnetic interlayer couplings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 904-917.
    13. Leonidov, Andrey & Savvateev, Alexey & Semenov, Andrew G., 2024. "Ising game on graphs," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    14. Lipowski, A, 1998. "Critical temperature in the two-layered Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 250(1), pages 373-383.
    15. Dur, Robert & Sol, Joeri, 2010. "Social interaction, co-worker altruism, and incentives," Games and Economic Behavior, Elsevier, vol. 69(2), pages 293-301, July.
    16. Egami, Naoki, 2021. "Spillover Effects in the Presence of Unobserved Networks," Political Analysis, Cambridge University Press, vol. 29(3), pages 287-316, July.
    17. Robert M. Bond & Christopher J. Fariss & Jason J. Jones & Adam D. I. Kramer & Cameron Marlow & Jaime E. Settle & James H. Fowler, 2012. "A 61-million-person experiment in social influence and political mobilization," Nature, Nature, vol. 489(7415), pages 295-298, September.
    18. William A. Brock & Steven N. Durlauf, 2010. "Adoption Curves and Social Interactions," Journal of the European Economic Association, MIT Press, vol. 8(1), pages 232-251, March.
    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. Leonidov, A. & Radionov, S. & Vasilyeva, E., 2024. "Strategic behaviour in the mean field Ising game," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    3. Maness, Michael & Cirillo, Cinzia, 2016. "An indirect latent informational conformity social influence choice model: Formulation and case study," Transportation Research Part B: Methodological, Elsevier, vol. 93(PA), pages 75-101.
    4. Mercure, Jean-François, 2018. "Fashion, fads and the popularity of choices: Micro-foundations for diffusion consumer theory," Structural Change and Economic Dynamics, Elsevier, vol. 46(C), pages 194-207.
    5. Maness, Michael & Cirillo, Cinzia & Dugundji, Elenna R., 2015. "Generalized behavioral framework for choice models of social influence: Behavioral and data concerns in travel behavior," Journal of Transport Geography, Elsevier, vol. 46(C), pages 137-150.
    6. Steven N. Durlauf & Daniel S. Nagin, 2010. "The Deterrent Effect of Imprisonment," NBER Chapters, in: Controlling Crime: Strategies and Tradeoffs, pages 43-94, National Bureau of Economic Research, Inc.
    7. Lin, Zhongjian & Hu, Yingyao, 2024. "Binary choice with misclassification and social interactions, with an application to peer effects in attitude," Journal of Econometrics, Elsevier, vol. 238(1).
    8. Semih Tumen & Tugba Zeydanli, 2015. "Is Happiness Contagious? Separating Spillover Externalities from the Group-Level Social Context," Journal of Happiness Studies, Springer, vol. 16(3), pages 719-744, June.
    9. Li, Chunxiao & Gilleskie, Donna B., 2021. "The influence of endogenous behaviors among social pairs: Social interaction effects of smoking," Journal of Health Economics, Elsevier, vol. 80(C).
    10. González, Felipe, 2020. "Collective action in networks: Evidence from the Chilean student movement," Journal of Public Economics, Elsevier, vol. 188(C).
    11. Shi, Yuxing & Cai, Yu & Zhao, Minjuan, 2021. "Social interaction effect of rotational grazing and its policy implications for sustainable use of grassland: Evidence from pastoral areas in Inner Mongolia and Gansu, China," Land Use Policy, Elsevier, vol. 111(C).
    12. Bahrami, Mohammad & Chinichian, Narges & Hosseiny, Ali & Jafari, Gholamreza & Ausloos, Marcel, 2020. "Optimization of the post-crisis recovery plans in scale-free networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    13. Armstrong, Christopher S. & Glaeser, Stephen & Kepler, John D., 2019. "Strategic reactions in corporate tax planning," Journal of Accounting and Economics, Elsevier, vol. 68(1).
    14. Manca, Francesco & Sivakumar, Aruna & Daina, Nicolò & Axsen, Jonn & Polak, John W, 2020. "Modelling the influence of peers’ attitudes on choice behaviour: Theory and empirical application on electric vehicle preferences," Transportation Research Part A: Policy and Practice, Elsevier, vol. 140(C), pages 278-298.
    15. Hosseiny, Ali & Absalan, Mohammadreza & Sherafati, Mohammad & Gallegati, Mauro, 2019. "Hysteresis of economic networks in an XY model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 644-652.
    16. Kourtellos, Andros & Petrou, Kyriakos, 2022. "The role of social interactions in preferences for redistribution," Journal of Economic Behavior & Organization, Elsevier, vol. 200(C), pages 716-737.
    17. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng & Yu, Haomiao, 2013. "Large games with a bio-social typology," Journal of Economic Theory, Elsevier, vol. 148(3), pages 1122-1149.
    18. Santiago Pereda-Fernández, 2017. "Social Spillovers in the Classroom: Identification, Estimation and Policy Analysis," Economica, London School of Economics and Political Science, vol. 84(336), pages 712-747, October.
    19. Costas Azariadis & Yannis M. Ioannides, 2014. "Thinking About Corruption in Greece," Discussion Papers Series, Department of Economics, Tufts University 0783, Department of Economics, Tufts University.
    20. Michael D. König & Xiaodong Liu & Yves Zenou, 2019. "R&D Networks: Theory, Empirics, and Policy Implications," The Review of Economics and Statistics, MIT Press, vol. 101(3), pages 476-491, July.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:201:y:2025:i:p2:s096007792501255x. 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.