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

Filippo de Feo, Giorgio Fabbri (), Silvia Faggian and Giuseppe Freni
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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
Giuseppe Freni: PARTHENOPE - Università degli Studi di Napoli “Parthenope” = University of Naples

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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.

Keywords: Nature reserves; Control theory; Differential games; Spatial models; Harvesting (search for similar items in EconPapers)
Date: 2026-10
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Published in Journal of Economic Dynamics and Control, 2026, 191, pp.105399. ⟨10.1016/j.jedc.2026.105399⟩

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Journal Article: Centralized and competitive extraction of distributed renewable resources on networks with nonlinear aggregate growth (2026)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-05771632

DOI: 10.1016/j.jedc.2026.105399

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