IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v185y2024ics096007792400537x.html
   My bibliography  Save this article

An escort replicator dynamic with a continuous action space and its application to resource management

Author

Listed:
  • Yoshioka, Hidekazu

Abstract

The escort replicator dynamic (ERD) is a version of the replicator dynamic in evolutionary games where the utility-driven decision-making process is modulated due to the information costs to be paid by players. The escort function as a coefficient to distort the decision-making determines the behavior of solutions to the ERD, whereas its investigations are still not sufficient. Particularly, the ERD was investigated in finite-action settings in the previous studies, while that with a continuum of actions has not been studied well. In this paper, we formulate and analyze the ERD with a continuum of actions represented by a bounded interval. Our ERD is a partial integro-differential equation whose well-posedness is nontrivial because of specific nonlocal terms arising from the escort function. The Kaniadakis escort function is chosen as a major example of the escort function, with which we obtain the unique existence of solutions to the ERD. We also discuss cases with the other escort functions, such as the power and constant ones, and suggest that the growth and regularity behaviors of the escort function are crucial. Finally, we computationally apply the ERD to problems related to sustainable environmental and resource management.

Suggested Citation

  • Yoshioka, Hidekazu, 2024. "An escort replicator dynamic with a continuous action space and its application to resource management," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    • Handle: RePEc:eee:chsofr:v:185:y:2024:i:c:s096007792400537x
    DOI: 10.1016/j.chaos.2024.114985
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007792400537X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114985?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:eee:chsofr:v:185:y:2024:i:c:s096007792400537x. 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: 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.