IDEAS home Printed from https://ideas.repec.org/p/ivi/wpasec/1997-18.html
   My bibliography  Save this paper

Strategic behavior and efficiency in a groundwater pumping differential game

Author

Listed:
  • Santiago J. Rubio Jorge

    (Universitat de València)

  • Begoña Casino

    (Universitat de València)

Abstract

In this paper socially optimal and private exploitation of a common property aquifer are compared. Open-loop and feedback equilibria in nonlinear strategies have been computed to characterize the private solution. The use of these two equilibrium concepts aIlows us to distinguish between cost and strategic externalities. The open-Loop solution captures only the cost externality, whereas the feedback solution captures both externalities. The results show that strategic behavior increases the overexploitation of the aquifer compared to the open-loop solution. However, if the groundwater storage capacity is large, the difference between the socIally optImal and private exploitation, characterized by a feedback equilibrium, is negligible and can be ignored for practical purposes. En este trabajo se comparan la explotación privada y socialmente óptima de un acuífero de propiedad común. Para caracterizar la solución privada se han calculado los equilibrios' openloop' y 'feedback' en estrategias no lineales. El uso de estos dos conceptos de equilibrio nos ha permitido distinguir entre efectos externos estratégicos y de coste. La solución 'open-loop' captura solamente el efecto externo de los costes mientras que la SolucIón 'feedback' captura ambos efectos externos. Los resultados muestran que el comportamiento estratégico aumenta la sobreexplotación del acuífero comparado con la solución 'open-loop' o Sin embargo, si la capacidad de almacenamiento del acuífero es grande, la diferencia entre la explotación privada y la socialmente óptima, caracterizada por un equilibrio 'feedback', es despreciable y puede Ignorarse para propósitos prácticos.

Suggested Citation

  • Santiago J. Rubio Jorge & Begoña Casino, 1997. "Strategic behavior and efficiency in a groundwater pumping differential game," Working Papers. Serie EC 1997-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  • Handle: RePEc:ivi:wpasec:1997-18
    as

    Download full text from publisher

    File URL: http://www.ivie.es/downloads/docs/wpasec/wpasec-1997-18.pdf
    File Function: Fisrt version / Primera version, 1997
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Mercedes Gumbau Albert & Joaquín Maudos Villarroya, 1996. "Eficiencia productiva sectorial en las regiones españolas: una aproximación frontera," Working Papers. Serie EC 1996-10, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    2. Wirl, Franz & Dockner, Engelbert, 1995. "Leviathan governments and carbon taxes: Costs and potential benefits," European Economic Review, Elsevier, vol. 39(6), pages 1215-1236, June.
    3. Tsutsui, Shunichi & Mino, Kazuo, 1990. "Nonlinear strategies in dynamic duopolistic competition with sticky prices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 136-161, October.
    4. Tsur, Yacov & Graham-Tomasi, Theodore, 1991. "The buffer value of groundwater with stochastic surface water supplies," Journal of Environmental Economics and Management, Elsevier, vol. 21(3), pages 201-224, November.
    5. Berck, Peter & Perloff, Jeffrey M, 1984. "An Open-Access Fishery with Rational Expectations," Econometrica, Econometric Society, vol. 52(2), pages 489-506, March.
    6. Tsur Yacov & Zemel Amos, 1995. "Uncertainty and Irreversibility in Groundwater Resource Management," Journal of Environmental Economics and Management, Elsevier, vol. 29(2), pages 149-161, September.
    7. Hartwick, John M., 1980. "The intertemporal externality in the dynamic common property renewable resource problem," Economics Letters, Elsevier, vol. 5(3), pages 275-280.
    8. Joaquín Maudos Villarroya, 1996. "Market structure and performance in Spanish banking using a direct measure of efficiency," Working Papers. Serie EC 1996-12, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    9. Etsuro Shioji & José García-Montalvo, 1997. "Monetary policy transmission in the EMS: A VAR approach," Working Papers. Serie EC 1997-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    10. Worthington, Virginia E. & Burt, Oscar R. & Brustkern, Richard L., 1985. "Optimal management of a confined groundwater system," Journal of Environmental Economics and Management, Elsevier, vol. 12(3), pages 229-245, September.
    11. Dockner Engelbert J. & Van Long Ngo, 1993. "International Pollution Control: Cooperative versus Noncooperative Strategies," Journal of Environmental Economics and Management, Elsevier, vol. 25(1), pages 13-29, July.
    12. Van Der Ploeg, F., 1987. "Inefficiency of credible strategies in oligopolistic resource markets with uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 11(1), pages 123-145, March.
    13. Ángel Pardo & Francisco Climent, 2000. "Relaciones temporales entre el contrato de futuro sobre IBEX-35 y su activo subyacente," Investigaciones Economicas, Fundación SEPI, vol. 24(1), pages 219-236, January.
    14. Eli Feinerman & Keith C. Knapp, 1983. "Benefits from Groundwater Management: Magnitude, Sensitivity, and Distribution," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 65(4), pages 703-710.
    15. Santiago J. Rubio & Juan P. Castro, 1996. "Long-run groundwater reserves under uncertainty," Investigaciones Economicas, Fundación SEPI, vol. 20(1), pages 71-88, January.
    16. Jacint Balaguer Coll & Ezequiel Uriel Jiménez & Vicente Orts Ríos, 1996. "Política de precios y reajustes en los márgenes de beneficio. El comportamiento de los exportadores españoles de automóviles," Working Papers. Serie EC 1996-21, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    17. Sinn, Hans-Werner, 1981. "The theory of exhaustible resources," Munich Reprints in Economics 19910, University of Munich, Department of Economics.
    18. Michael Nieswiadomy, 1985. "The Demand for Irrigation Water in the High Plains of Texas, 1957–80," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 67(3), pages 619-626.
    19. Eswaran, Mukesh & Lewis, Tracy R, 1984. "Appropriability and the Extraction of a Common Property Resource," Economica, London School of Economics and Political Science, vol. 51(204), pages 393-400, November.
    20. Reinganum, Jennifer F & Stokey, Nancy L, 1985. "Oligopoly Extraction of a Common Property Natural Resource: The Importance of the Period of Commitment in Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(1), pages 161-173, February.
    21. David Levhari & Leonard J. Mirman, 1980. "The Great Fish War: An Example Using a Dynamic Cournot-Nash Solution," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 322-334, Spring.
    22. Reynolds, Stanley S, 1987. "Capacity Investment, Preemption and Commitment in an Infinite Horizon Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(1), pages 69-88, February.
    23. Knapp Keith C. & Olson Lars J., 1995. "The Economics of Conjunctive Groundwater Management with Stochastic Surface Supplies," Journal of Environmental Economics and Management, Elsevier, vol. 28(3), pages 340-356, May.
    24. Provencher Bill & Burt Oscar, 1993. "The Externalities Associated with the Common Property Exploitation of Groundwater," Journal of Environmental Economics and Management, Elsevier, vol. 24(2), pages 139-158, March.
    25. Wirl Franz, 1994. "Pigouvian Taxation of Energy for Flow and Stock Externalities and Strategic, Noncompetitive Energy Pricing," Journal of Environmental Economics and Management, Elsevier, vol. 26(1), pages 1-18, January.
    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. 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.

    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. 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. Marita Laukkanen & Phoebe Koundouri, 2006. "Competition versus coopertion in groundwater extraction: A stochastic framework with heteregoneous agents," DEOS Working Papers 0606, Athens University of Economics and Business.
    3. Burness, H. Stuart & Brill, Thomas C., 2001. "The role for policy in common pool groundwater use," Resource and Energy Economics, Elsevier, vol. 23(1), pages 19-40, January.
    4. 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.
    5. 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.
    6. Phoebe Koundouri, 2003. "Potential for groundwater management: Gisser-Sanchez effect reconsidered," DEOS Working Papers 0307, Athens University of Economics and Business.
    7. Santiago J. Rubio, 2002. "On The Coincidence Of The Feedback Nash And Stackelberg Equilibria In Economic Applications Of Differential Games," Working Papers. Serie AD 2002-11, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    8. Msangi, Siwa, 2005. "Measuring the Gains to Groundwater Management with Recursive Utility," 2005 Annual meeting, July 24-27, Providence, RI 19212, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    9. Tasneem, Dina & Engle-Warnick, Jim & Benchekroun, Hassan, 2017. "An experimental study of a common property renewable resource game in continuous time," Journal of Economic Behavior & Organization, Elsevier, vol. 140(C), pages 91-119.
    10. Koundouri, Phoebe, 2000. "Three approaches to measuring natural resource scarcity: theory and application to groundwater," MPRA Paper 38265, University Library of Munich, Germany.
    11. Colombo, Luca & Labrecciosa, Paola, 2015. "On the Markovian efficiency of Bertrand and Cournot equilibria," Journal of Economic Theory, Elsevier, vol. 155(C), pages 332-358.
    12. Pamela Giselle Katic, 2010. "Spatial dynamics and optimal resource extraction," Centre for Water Economics, Environment and Policy Papers 1002, Centre for Water Economics, Environment and Policy, Crawford School of Public Policy, The Australian National University.
    13. Karp, Larry, 1992. "Efficiency Inducing Tax for a Common Property Oligopoly," Economic Journal, Royal Economic Society, vol. 102(411), pages 321-332, March.
    14. Ngo Long, 2011. "Dynamic Games in the Economics of Natural Resources: A Survey," Dynamic Games and Applications, Springer, vol. 1(1), pages 115-148, March.
    15. Rubio, Santiago J. & Goetz, Renan-U., 1998. "Optimal growth and land preservation," Resource and Energy Economics, Elsevier, vol. 20(4), pages 345-372, December.
    16. Nasim, Sanval & Helfand, Steven & Dinar, Ariel, 2020. "Groundwater management under heterogeneous land tenure arrangements," Resource and Energy Economics, Elsevier, vol. 62(C).
    17. Karp, Larry, 1992. "Social Welfare in a Common Property Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(2), pages 353-372, May.
    18. James Roumasset & Christopher Wada, 2012. "The Economics of Groundwater," Working Papers 201211, University of Hawaii at Manoa, Department of Economics.
    19. Javier Frutos & Guiomar Martín-Herrán, 2018. "Selection of a Markov Perfect Nash Equilibrium in a Class of Differential Games," Dynamic Games and Applications, Springer, vol. 8(3), pages 620-636, September.
    20. Vicente Calabuig Alcantara, 1997. "Ineficiencias en las negociaciones entre dos agentes completamente informados," Working Papers. Serie EC 1997-03, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).

    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:ivi:wpasec:1997-18. 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: Departamento de Edición (email available below). General contact details of provider: https://edirc.repec.org/data/ievages.html .

    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.