IDEAS home Printed from https://ideas.repec.org/p/hal/journl/hal-05771632.html

Centralized and competitive extraction of distributed renewable resources on networks with nonlinear aggregate growth

Author

Listed:
  • Filippo de Feo

    (TUB - Technical University of Berlin = Technische Universität Berlin, Luiss University, Department of Economics and Finance, Roma)

  • Giorgio Fabbri

    (GAEL - Laboratoire d'Economie Appliquée de Grenoble - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - UGA - Université Grenoble Alpes - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - UGA - Université Grenoble Alpes, CNRS - Centre National de la Recherche Scientifique)

  • Silvia Faggian

    (University of Venice Ca’ Foscari = Université de Venise Ca’ Foscari = Università Ca’ Foscari di Venezia)

  • Giuseppe Freni

    (PARTHENOPE - Università degli Studi di Napoli “Parthenope” = University of Naples)

Abstract

We study the optimal and strategic extraction of a renewable resource that is spatially distributed over a network, migrates across nodes (with no loss of biomass during transit), and evolves according to a nonlinear (concave) aggregate growth function. A subset of nodes hosts extractors, while the remaining ones serve as reserves. We analyze a centralized planner's problem and a non-cooperative game with stationary Markov strategies. For three canonical growth families (logistic, power, and log-type saturating laws) paired with corresponding utilities, we derive closed-form value functions and feedback rules for the planner, and we construct a symmetric Markov equilibrium for the game on strongly connected networks.

Suggested Citation

  • Filippo de Feo & Giorgio Fabbri & Silvia Faggian & Giuseppe Freni, 2026. "Centralized and competitive extraction of distributed renewable resources on networks with nonlinear aggregate growth," Post-Print hal-05771632, HAL.
    • Handle: RePEc:hal:journl:hal-05771632
    DOI: 10.1016/j.jedc.2026.105399
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    Other versions of this item:

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

    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:hal:journl:hal-05771632. 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: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    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.