IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v128y2006i2d10.1007_s10957-006-9020-0.html
   My bibliography  Save this article

A Discrete-Time Dynamic Game of Seasonal Water Allocation

Author

Listed:
  • J. B. Krawczyk

    (Victoria University of Wellington)

  • M. Tidball

    (Institut National de Recherche en Agronomie)

Abstract

We present a method for the derivation of feedback Nash equi- libria in discrete-time finite-horizon nonstationary dynamic games. A partic- ular motivation for such games stems from environmental economics, where problems of seasonal competition for water levels occur frequently among heterogeneous economic agents. These agents are coupled through a state variable, which is the water level. Actions are strategically chosen to max- imize the agents individual season-dependent utility functions. We observe that, although a feedback Nash equilibrium exists, it does not satisfy the (exogenous) environmental watchdog expectations. We devise an incentive scheme to help meeting those expectations and calculate a feedback Nash equilibrium for the new game that uses the scheme. This solution is more environmentally friendly than the previous one. The water allocation game solutions help us to draw some conclusions regarding the agents behavior and also about the existence of feedback Nash equilibria in dynamic games.

Suggested Citation

  • J. B. Krawczyk & M. Tidball, 2006. "A Discrete-Time Dynamic Game of Seasonal Water Allocation," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 411-429, February.
    • Handle: RePEc:spr:joptap:v:128:y:2006:i:2:d:10.1007_s10957-006-9020-0
    DOI: 10.1007/s10957-006-9020-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-006-9020-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-006-9020-0?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.

    References listed on IDEAS

    as
    1. 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.
    2. Krawczyk, Jacek B. & Lifran, Robert & Tidball, Mabel, 2005. "Use of coupled incentives to improve adoption of environmentally friendly technologies," Journal of Environmental Economics and Management, Elsevier, vol. 49(2), pages 311-329, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Rajani Singh & Agnieszka Wiszniewska-Matyszkiel, 2020. "A class of linear quadratic dynamic optimization problems with state dependent constraints," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 91(2), pages 325-355, April.
    2. D. W. K. Yeung & L. A. Petrosyan, 2011. "Subgame Consistent Cooperative Solution of Dynamic Games with Random Horizon," Journal of Optimization Theory and Applications, Springer, vol. 150(1), pages 78-97, July.
    3. Krawczyk, Jacek & Azzato, Jeffrey, 2006. "NISOCSol an algorithm for approximating Markovian equilibria in dynamic games with coupled-constraints," MPRA Paper 1195, University Library of Munich, Germany.
    4. Pereau, Jean-Christophe & Pryet, Alexandre & Rambonilaza, Tina, 2019. "Optimality Versus Viability in Groundwater Management with Environmental Flows," Ecological Economics, Elsevier, vol. 161(C), pages 109-120.
    5. Dan Protopopescu, 2009. "Nash Equilibrium Strategies in Discrete-Time Finite-Horizon Dynamic Games with Risk-and Effort-Averse Players," UFAE and IAE Working Papers 798.09, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Andrea Caravaggio & Luigi De Cesare & Andrea Di Liddo, 2023. "A Differential Game for Optimal Water Price Management," Games, MDPI, vol. 14(2), pages 1-15, April.
    2. Julia Frutos Cachorro & Katrin Erdlenbruch & Mabel Tidball, 2019. "Sharing a Groundwater Resource in a Context of Regime Shifts," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(4), pages 913-940, April.
    3. Hubert Stahn & Agnès Tomini, 2014. "On the Environmental Efficiency of Water Storage: The Case of a Conjunctive Use of Ground and Rainwater," AMSE Working Papers 1452, Aix-Marseille School of Economics, France.
    4. Marta Biancardi & Lucia Maddalena, 2018. "Competition and cooperation in the exploitation of the groundwater resource," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 41(2), pages 219-237, November.
    5. Amine Chekireb & Julio Goncalves & Hubert Stahn & Agnes Tomini, 2021. "Private exploitation of the North-Western Sahara Aquifer System," Working Papers halshs-03457972, HAL.
    6. Wasantha Athukorala & Clevo Wilson, 2012. "Groundwater overuse and farm-level technical inefficiency: evidence from Sri Lanka," School of Economics and Finance Discussion Papers and Working Papers Series 279, School of Economics and Finance, Queensland University of Technology.
    7. Caputo, Michael R. & Ling, Chen, 2013. "The intrinsic comparative dynamics of locally differentiable feedback Nash equilibria of autonomous and exponentially discounted infinite horizon differential games," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1982-1994.
    8. Raphaël Soubeyran & Mabel Tidball & Agnes Tomini & Katrin Erdlenbruch, 2015. "Rainwater Harvesting and Groundwater Conservation: When Endogenous Heterogeneity Matters," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 62(1), pages 19-34, September.
    9. Julia de Frutos Cachorro & Guiomar Martín-Herrán & Mabel Tidball, 2022. "Stackelberg competition in groundwater resources with multiple uses," UB School of Economics Working Papers 2022/431, University of Barcelona School of Economics.
    10. Elsa Martin & Hubert Stahn, 2013. "Potential Conflict and Inefficiencies Arising in Agri-environmental Management," Journal of Agricultural Economics, Wiley Blackwell, vol. 64(2), pages 423-445, June.
    11. Elsa Martin, 2010. "Are the gains from a groundwater management policy so low?," INRA UMR CESAER Working Papers 2010/2, INRA UMR CESAER, Centre d'’Economie et Sociologie appliquées à l'’Agriculture et aux Espaces Ruraux.
    12. Robert Lifran, 2009. "Landscape Economics : The Road Ahead," Working Papers 09-25, LAMETA, Universtiy of Montpellier, revised Dec 2009.
    13. Eirik S. Amundsen & Frank Jensen, 2016. "Drought and Groundwater Management," IFRO Working Paper 2016/04, University of Copenhagen, Department of Food and Resource Economics.
    14. Eirik S. Amundsen & Frank Jensen, 2016. "Drought and Groundwater Management," CESifo Working Paper Series 5968, CESifo.
    15. Marta Biancardi & Lucia Maddalena & Giovanni Villani, 2020. "Groundwater extraction among overlapping generations: a differential game approach," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 539-556, December.
    16. Chandra Kiran B. Krishnamurthy, 2017. "Optimal Management of Groundwater Under Uncertainty: A Unified Approach," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(2), pages 351-377, June.
    17. Marta Biancardi & Gianluca Iannucci & Giovanni Villani, 2023. "Groundwater management and illegality in a differential-evolutionary framework," Computational Management Science, Springer, vol. 20(1), pages 1-17, December.
    18. Brozovic, Nicholas & Sunding, David L. & Zilberman, David, 2010. "On the spatial nature of the groundwater pumping externality," Resource and Energy Economics, Elsevier, vol. 32(2), pages 154-164, April.
    19. Laukkanen, Marita & Koundouri, Phoebe, 2006. "Competition versus coopertion in groundwater extraction: A stochastic framework with heteregoneous agents," MPRA Paper 41910, University Library of Munich, Germany.
    20. Jean-Christophe Pereau & Lauriane Mouysset & Luc Doyen, 2018. "Groundwater Management in a Food Security Context," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(2), pages 319-336, October.

    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:spr:joptap:v:128:y:2006:i:2:d:10.1007_s10957-006-9020-0. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.