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Continuous versus Discrete Time in Dynamic Common Pool Resource Game Experiments

Author

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  • Anmina Murielle Djiguemde

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro - Montpellier SupAgro - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement)

  • Dimitri Dubois

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro - Montpellier SupAgro - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement)

  • Alexandre Sauquet

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro - Montpellier SupAgro - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement)

  • Mabel Tidball

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement - Institut Agro - Montpellier SupAgro - Institut Agro - Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement)

Abstract

We study the impact of discrete versus continuous time on the behavior of agents in the context of a dynamic common pool resource game. To this purpose, we consider a linear quadratic model in which agents exploit a renewable resource with an infinite horizon and conduct a lab experiment. We use a differential game for continuous time and derive its discrete time approximation. When the agent is the sole owner of the resource, we fail to detect on a battery of indicators any difference between discrete and continuous time. Conversely, in the two-player setting, significantly more agents can be classified as myopic and end up with a low resource level in discrete time. Continuous time seems to allow for better cooperation and thus greater sustainability of the resource than does discrete time. Also, payoffs are more equally distributed in the continuous time setting.

Suggested Citation

  • Anmina Murielle Djiguemde & Dimitri Dubois & Alexandre Sauquet & Mabel Tidball, 2022. "Continuous versus Discrete Time in Dynamic Common Pool Resource Game Experiments," Post-Print hal-03726448, HAL.
    • Handle: RePEc:hal:journl:hal-03726448
    DOI: 10.1007/s10640-022-00700-2
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    Cited by:

    1. Davin, Marion & Dubois, Dimitri & Erdlenbruch, Katrin & Willinger, Marc, 2025. "Discounting and extraction behavior in continuous time resource experiments," Resource and Energy Economics, Elsevier, vol. 84(C).
    2. Hembach-Stunden, Katharina & Vorlaufer, Tobias & Engel, Stefanie, 2024. "Threshold ambiguity and sustainable resource management: A lab experiment," Ecological Economics, Elsevier, vol. 226(C).
    3. Gao, Liyan & Pan, Qiuhui & He, Mingfeng, 2025. "The effect of ecological compensation on a coevolutionary common pool resource game," Applied Mathematics and Computation, Elsevier, vol. 490(C).

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