IDEAS home Printed from https://ideas.repec.org/p/ven/wpaper/201807.html
   My bibliography  Save this paper

Spatial resource wars: A two region example

Author

Listed:
  • Giorgio Fabbri

    (Univ.Grenoble Alpes, CNRS, INRIA, Grenoble INP, GAEL, Grenoble, France)

  • Silvia Faggian

    (Department of Economics, Ca' Foscari University of Venice)

  • Giuseppe Freni

    (Department of Business and Economics, University of Naples "Parthenope")

Abstract

We develop a spatial resource model in continuous time in which two agents strategically exploit a mobile resource in a two-location setup. In order to contrast the overexploitation of the resource (the tragedy of commons) that occurs when the player are free to choose where to fish/hunt/extract/harvest, the regulator can establish a series of spatially structured policies. We compare the three situations in which the regulator: (a) leaves the player free to choose where to harvest; (b) establishes a natural reserve where nobody is allowed to harvest; (c) assigns to each player a specific exclusive location to hunt. We show that when preference parameters dictate a low harvesting intensity, the policies cannot mitigate the overexploitation and in addition they worsen the utilities of the players. Conversely, in a context of harsher harvesting intensity, the intervention can help to safeguard the resource, preventing the extinction and also improving the welfare of both players.

Suggested Citation

  • Giorgio Fabbri & Silvia Faggian & Giuseppe Freni, 2018. "Spatial resource wars: A two region example," Working Papers 2018:07, Department of Economics, University of Venice "Ca' Foscari".
    • Handle: RePEc:ven:wpaper:2018:07
    as

    Download full text from publisher

    File URL: http://www.unive.it/pag/fileadmin/user_upload/dipartimenti/economia/doc/Pubblicazioni_scientifiche/working_papers/2018/WP_DSE_fabbri_faggian_freni_07_18.pdf
    File Function: First version, anno 2018
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Boucekkine, R. & Camacho, C. & Fabbri, G., 2013. "Spatial dynamics and convergence: The spatial AK model," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2719-2736.
    2. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," GE, Growth, Math methods 0412001, University Library of Munich, Germany.
    3. Costello, Christopher & Quérou, Nicolas & Tomini, Agnes, 2015. "Partial enclosure of the commons," Journal of Public Economics, Elsevier, vol. 121(C), pages 69-78.
    4. Christopher Costello & Bruno Nkuiya & Nicolas Querou, 2017. "Extracting spatial resources under possible regime shift," Working Papers 17-07, LAMETA, Universtiy of Montpellier.
    5. Colin Rowat & Jayasri Dutta, 2007. "The Commons with Capital Markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 225-254, May.
    6. Tornell, Aaron & Velasco, Andes, 1992. "The Tragedy of the Commons and Economic Growth: Why Does Capital Flow from Poor to Rich Countries?," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1208-1231, December.
    7. Dockner, Engelbert J. & Sorger, Gerhard, 1996. "Existence and Properties of Equilibria for a Dynamic Game on Productive Assets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 209-227, October.
    8. Strulik, Holger, 2012. "Poverty, voracity, and growth," Journal of Development Economics, Elsevier, vol. 97(2), pages 396-403.
    9. Tapan Mitra & Gerhard Sorger, 2014. "Extinction in common property resource models: an analytically tractable example," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(1), pages 41-57, September.
    10. Smith, Martin D. & Sanchirico, James N. & Wilen, James E., 2009. "The economics of spatial-dynamic processes: Applications to renewable resources," Journal of Environmental Economics and Management, Elsevier, vol. 57(1), pages 104-121, January.
    11. W.A. Brock & A. Xepapadeas & A.N. Yannacopoulos, 2014. "Optimal Control in Space and Time and the Management of Environmental Resources," Annual Review of Resource Economics, Annual Reviews, vol. 6(1), pages 33-68, October.
    12. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," Discussion Papers 04-11, Department of Economics, University of Birmingham, revised Jan 2007.
    13. Giuseppe Freni & Fausto Gozzi & Neri Salvadori, 2006. "Existence of optimal strategies in linear multisector models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 25-48, September.
    14. Strulik, Holger, 2012. "The voracity effect revisited," Mathematical Social Sciences, Elsevier, vol. 64(3), pages 272-276.
    15. Janmaat, Johannus A., 2005. "Sharing clams: tragedy of an incomplete commons," Journal of Environmental Economics and Management, Elsevier, vol. 49(1), pages 26-51, January.
    16. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
    17. Dockner,Engelbert J. & Jorgensen,Steffen & Long,Ngo Van & Sorger,Gerhard, 2000. "Differential Games in Economics and Management Science," Cambridge Books, Cambridge University Press, number 9780521637329, October.
    18. 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.
    19. Sanchirico, James N. & Wilen, James E., 1999. "Bioeconomics of Spatial Exploitation in a Patchy Environment," Journal of Environmental Economics and Management, Elsevier, vol. 37(2), pages 129-150, March.
    20. Xepapadeas, Anastasios, 2010. "The spatial dimension in environmental and resource economics," Environment and Development Economics, Cambridge University Press, vol. 15(6), pages 747-758, December.
    21. Christopher Costello & Nicolas Querou & Agnès Tomini, 2015. "Partial enclosure of the commons," Post-Print hal-01457323, HAL.
    Full references (including those not matched with items on IDEAS)

    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. Fabbri, Giorgio & Faggian, Silvia & Freni, Giuseppe, 2020. "Policy effectiveness in spatial resource wars: A two-region model," Journal of Economic Dynamics and Control, Elsevier, vol. 111(C).
    2. Fabbri, Giorgio & Faggian, Silvia & Freni, Giuseppe, 2024. "On competition for spatially distributed resources in networks," Theoretical Economics, Econometric Society, vol. 19(2), May.
    3. Giorgio Fabbri & Silvia Faggian & Giuseppe Freni, 2022. "On competition for spatially distributed resources in networks: an extended version," Working Papers 2022:03, Department of Economics, University of Venice "Ca' Foscari".
    4. Colin Rowat & Jayasri Dutta, 2004. "The road to extinction: commons with capital markets," Econometric Society 2004 North American Summer Meetings 145, Econometric Society.
    5. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," GE, Growth, Math methods 0412001, University Library of Munich, Germany.
    6. 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.
    7. Colin Rowat & Jayasri Dutta, 2007. "The Commons with Capital Markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 225-254, May.
    8. Gerhard Sorger, 2005. "A dynamic common property resource problem with amenity value and extraction costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(1), pages 3-19, March.
    9. Brock, W. A. & Xepapadeas, A., 2015. "Modeling Coupled Climate, Ecosystems, and Economic Systems," Climate Change and Sustainable Development 206837, Fondazione Eni Enrico Mattei (FEEM).
    10. Ngo Long & Gerhard Sorger, 2006. "Insecure property rights and growth: the role of appropriation costs, wealth effects, and heterogeneity," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 513-529, August.
    11. Zaruhi Hakobyan & Christos Koulovatianos, 2021. "Symmetric Markovian Games of Commons with Potentially Sustainable Endogenous Growth," Dynamic Games and Applications, Springer, vol. 11(1), pages 54-83, March.
    12. Croutzet, Alexandre & Lasserre, Pierre, 2017. "Optimal completeness of property rights on renewable resources in the presence of market power," Resource and Energy Economics, Elsevier, vol. 49(C), pages 16-32.
    13. Lambertini, Luca, 2021. "Regulating the tragedy of commons: Nonlinear feedback solutions of a differential game with a dual interpretation," Energy Economics, Elsevier, vol. 100(C).
    14. K. Hori & A. Shibata, 2010. "Dynamic Game Model of Endogenous Growth with Consumption Externalities," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 93-107, April.
    15. Yohei Tenryu, 2017. "The role of the private sector under insecure property rights," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 64(3), pages 285-311, September.
    16. Van Long, Ngo & McWhinnie, Stephanie F., 2012. "The tragedy of the commons in a fishery when relative performance matters," Ecological Economics, Elsevier, vol. 81(C), pages 140-154.
    17. Christopher Costello & Daniel Kaffine, 2018. "Natural Resource Federalism: Preferences Versus Connectivity for Patchy Resources," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 71(1), pages 99-126, September.
    18. Colombo, Luca & Labrecciosa, Paola, 2019. "Stackelberg versus Cournot: A differential game approach," Journal of Economic Dynamics and Control, Elsevier, vol. 101(C), pages 239-261.
    19. Eric Innocenti & Corinne Idda & Dominique Prunetti & Pierre-Régis Gonsolin, 2022. "Agent-based modelling of a small-scale fishery in Corsica," Post-Print hal-03886619, HAL.
    20. Tenryu, Yohei, 2013. "The Role of the Private Sector under Insecure Property Rights," MPRA Paper 74893, University Library of Munich, Germany, revised 27 Oct 2016.

    More about this item

    Keywords

    Spatial harvesting problems; Markov perfect equilibrium; Environmental protection policies; Differential Games;
    All these keywords.

    JEL classification:

    • Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • R12 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Size and Spatial Distributions of Regional Economic Activity; Interregional Trade (economic geography)

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:ven:wpaper:2018:07. 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: Geraldine Ludbrook (email available below). General contact details of provider: https://edirc.repec.org/data/dsvenit.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.