IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v15y2025i1d10.1007_s13235-024-00560-z.html
   My bibliography  Save this article

The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game

Author

Listed:
  • Arnaud Z. Dragicevic

    (CIRANO — Centre Interuniversitaire de Recherche en Analyse des Organisations
    Chulalongkorn University)

Abstract

Our research explores the influence of quantum strategies on the Price identity of replicator(–mutator) dynamics in networked systems. We specifically focus on potential solutions to social dilemmas through a quantum interpretation of the public goods game. The outcomes of our investigation defy the expected simplicity, suggesting that quantum strategies do not invariably induce cooperative behavior. Within the framework of replicator dynamics, based on a stratified interaction mechanism and a composite strategy update rule, complete entanglement could lead to super-cooperators dominating, given the cooperation and defection probabilities exceed zero. In replicator–mutator dynamics, super-cooperators reach their peak density when mutation leaning toward cooperation is certain. Numerical simulations corroborate our theoretical propositions, shedding light on the roles of various subpopulations as either complementary or substitutive entities. Our research underscores how quantum strategies accentuate observed patterns compared to non-entangled scenarios, and how the assuredness of mutation markedly impacts the behavior of super-cooperators.

Suggested Citation

  • Arnaud Z. Dragicevic, 2025. "The Price Identity of Replicator(–Mutator) Dynamics on Graphs with Quantum Strategies in a Public Goods Game," Dynamic Games and Applications, Springer, vol. 15(1), pages 74-102, March.
    • Handle: RePEc:spr:dyngam:v:15:y:2025:i:1:d:10.1007_s13235-024-00560-z
    DOI: 10.1007/s13235-024-00560-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-024-00560-z
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13235-024-00560-z?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.

    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:dyngam:v:15:y:2025:i:1:d:10.1007_s13235-024-00560-z. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.