IDEAS home Printed from https://ideas.repec.org/a/spr/qualqt/v48y2014i4p1945-1956.html

Quantum models for decision making and opinion dynamics the role of the Lie algebras

Author

Listed:
  • C. Sarris

  • A. Proto

Abstract

Quantum decision models provide a theoretical framework to study decision making and opinion dynamics. The role of Lie algebras is fundamental in these models to get the opinion dynamics without violating the uncertainty principle. A particular case is developed to show the potentiality of our method. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • C. Sarris & A. Proto, 2014. "Quantum models for decision making and opinion dynamics the role of the Lie algebras," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(4), pages 1945-1956, July.
    • Handle: RePEc:spr:qualqt:v:48:y:2014:i:4:p:1945-1956
    DOI: 10.1007/s11135-013-9860-2
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11135-013-9860-2
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s11135-013-9860-2?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. Danilov, V.I. & Lambert-Mogiliansky, A., 2008. "Measurable systems and behavioral sciences," Mathematical Social Sciences, Elsevier, vol. 55(3), pages 315-340, May.
    2. Galam, Serge, 1997. "Rational group decision making: A random field Ising model at T = 0," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 66-80.
    3. Robert Bordley & Joseph Kadane, 1999. "Experiment-dependent priors in psychology and physics," Theory and Decision, Springer, vol. 47(3), pages 213-227, December.
    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. Tiwari, Mukesh & Yang, Xiguang & Sen, Surajit, 2021. "Modeling the nonlinear effects of opinion kinematics in elections: A simple Ising model with random field based study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 582(C).
    2. 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.
    3. AskariSichani, Omid & Jalili, Mahdi, 2015. "Influence maximization of informed agents in social networks," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 229-239.
    4. Baldassarri, Simone & Gallo, Anna & Jacquier, Vanessa & Zocca, Alessandro, 2023. "Ising model on clustered networks: A model for opinion dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 623(C).
    5. Thomas Boyer-Kassem & Sébastien Duchêne & Eric Guerci, 2016. "Quantum-like models cannot account for the conjunction fallacy," Theory and Decision, Springer, vol. 81(4), pages 479-510, November.
    6. Ariane Lambert-Mogiliansky & Jerome Busemeyer, 2012. "Quantum Type Indeterminacy in Dynamic Decision-Making: Self-Control through Identity Management," Games, MDPI, vol. 3(2), pages 1-22, May.
    7. Galam, Serge, 2004. "Sociophysics: a personal testimony," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 49-55.
    8. Gary Mckeown & Noel Sheehy, 2006. "Mass Media and Polarisation Processes in the Bounded Confidence Model of Opinion Dynamics," Journal of Artificial Societies and Social Simulation, Journal of Artificial Societies and Social Simulation, vol. 9(1), pages 1-11.
    9. Boudin, Laurent & Mercier, Aurore & Salvarani, Francesco, 2012. "Conciliatory and contradictory dynamics in opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5672-5684.
    10. Juliette Rouchier & Emily Tanimura, 2012. "When overconfident agents slow down collective learning," Post-Print hal-00623966, HAL.
    11. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," PSE Working Papers halshs-00564895, HAL.
    12. Ariane Lambert-Mogiliansky & Ismael Martinez-Martinez, 2014. "Basic Framework for Games with Quantum-like Players," PSE Working Papers hal-01095472, HAL.
    13. Amac Herdagdelen & Haluk Bingol, 2007. "A Cultural Market Model," Papers 0707.2341, arXiv.org, revised Apr 2008.
    14. Carlos E. Laciana & Santiago L. Rovere, 2010. "Ising-like agent-based technology diffusion model: adoption patterns vs. seeding strategies," Papers 1011.3834, arXiv.org, revised Jan 2013.
    15. Andrés Chacoma & Damián H Zanette, 2015. "Opinion Formation by Social Influence: From Experiments to Modeling," PLOS ONE, Public Library of Science, vol. 10(10), pages 1-16, October.
    16. Oliveira, Igor V.G. & Wang, Chao & Dong, Gaogao & Du, Ruijin & Fiore, Carlos E. & Vilela, André L.M. & Stanley, H. Eugene, 2024. "Entropy production on cooperative opinion dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    17. Bordley, Robert F., 2005. "Econophysics and individual choice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 479-495.
    18. Massari, Giovanni F. & Giannoccaro, Ilaria & Carbone, Giuseppe, 2019. "Are distrust relationships beneficial for group performance? The influence of the scope of distrust on the emergence of collective intelligence," International Journal of Production Economics, Elsevier, vol. 208(C), pages 343-355.
    19. Ariane Lambert-Mogiliansky, 2010. "Endogenous preferences in games with type indeterminate players," Working Papers halshs-00564895, HAL.
    20. Laciana, Carlos E. & Oteiza-Aguirre, Nicolás, 2014. "An agent based multi-optional model for the diffusion of innovations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 254-265.

    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:spr:qualqt:v:48:y:2014:i:4:p:1945-1956. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.