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Sharing a Groundwater Resource in a Context of Regime Shifts

Author

Listed:
  • Julia de Frutos cachorro

    (UB - Universitat de Barcelona)

  • Katrin Erdlenbruch

    (CEE-M - Centre d'Economie de l'Environnement - Montpellier - FRE2010 - INRA - Institut National de la Recherche Agronomique - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier, UMR G-EAU - Gestion de l'Eau, Acteurs, Usages - Cirad - Centre de Coopération Internationale en Recherche Agronomique pour le Développement - IRD - Institut de Recherche pour le Développement - AgroParisTech - IRSTEA - Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

  • Mabel Tidball

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

We study the occurrence of shocks in a common groundwater resource problem using a differential game. In particular, we use Rubio and Casino's adaptation of the Gisser and Sanchez model where we introduce a sudden change in the dynamics of the resource, namely a decrease in the recharge rate of the aquifer. We compare the pareto optimal solution with open-loop and feedback equilibria. First, we show analytically how different solutions, at the steady state, depend on the intensity of the shock. Moreover, we show that the cost and the strategic effects are decreasing functions of the intensity of the shock, i.e. that all the solutions get closer at the steady state for more intense shocks. We finally apply the game to the particular case of the Western La Mancha aquifer. The aim of this application is to estimate how shocks influence the inefficiency of open loop and feedback strategies in terms of welfare. We show that this inefficiency decreases the earlier the shock occurs or the higher the intensity of the shock.

Suggested Citation

  • Julia de Frutos cachorro & Katrin Erdlenbruch & Mabel Tidball, 2019. "Sharing a Groundwater Resource in a Context of Regime Shifts," Post-Print hal-02175826, HAL.
    • Handle: RePEc:hal:journl:hal-02175826
    DOI: 10.1007/s10640-018-0233-0
    Note: View the original document on HAL open archive server: https://hal.science/hal-02175826
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    References listed on IDEAS

    as
    1. Santiago Rubio & Begoña Casino, 2003. "Strategic Behavior and Efficiency in the Common Property Extraction of Groundwater," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 26(1), pages 73-87, September.
    2. Phoebe Koundouri, 2004. "Current Issues in the Economics of Groundwater Resource Management," Journal of Economic Surveys, Wiley Blackwell, vol. 18(5), pages 703-740, December.
    3. Rubio, Santiago J. & Casino, Begona, 2001. "Competitive versus efficient extraction of a common property resource: The groundwater case," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1117-1137, August.
    4. de Frutos Cachorro, Julia & Erdlenbruch, Katrin & Tidball, Mabel, 2014. "Optimal adaptation strategies to face shocks on groundwater resources," Journal of Economic Dynamics and Control, Elsevier, vol. 40(C), pages 134-153.
    5. Nieswiadomy, Michael L., 1988. "Input Substitution In Irrigated Agriculture In The High Plains Of Texas, 1970-80," Western Journal of Agricultural Economics, Western Agricultural Economics Association, vol. 13(1), pages 1-8, July.
    6. Manfred M. Fischer & Peter Nijkamp (ed.), 2014. "Handbook of Regional Science," Springer Books, Springer, edition 127, number 978-3-642-23430-9, September.
    7. Esteban, Encarna & Albiac, José, 2011. "Groundwater and ecosystems damages: Questioning the Gisser-Sánchez effect," Ecological Economics, Elsevier, vol. 70(11), pages 2062-2069, September.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Farolfi, Stefano & Erdlenbruch, Katrin, 2020. "A classroom experimental game to improve the understanding of asymmetric common-pool resource dilemmas in irrigation water management," International Review of Economics Education, Elsevier, vol. 35(C).

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    More about this item

    Keywords

    groundwater resource; differential game; strategic interactions; exogenous shock; regime shift;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Q25 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Water

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