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On Competition for Spatially Distributed Resources in Networks

Author

Listed:
  • Giorgio Fabbri

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

  • Silvia Faggian

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

  • Giuseppe Freni

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

Abstract

We study the dynamics of the exploitation of a natural resource, distributed in space and mobile, where spatial diversification is introduced by a network structure. Players are assigned to different nodes by a regulator, after he/she decides at which nodes natural reserves are established. The game solution shows how the dynamics of spatial distribution depends on the productivity of the various sites, on the structure of the connections between the various locations, and on the preferences of the agents. At the same time, the best locations to host a nature reserve are identified in terms of the parameters of the model, and it turns out they correspond to the most central (in the sense of eigenvector centrality) nodes of a suitably redefined network which takes into account the nodes productivities.

Suggested Citation

  • Giorgio Fabbri & Silvia Faggian & Giuseppe Freni, 2020. "On Competition for Spatially Distributed Resources in Networks," Working Papers 2020:07, Department of Economics, University of Venice "Ca' Foscari".
  • Handle: RePEc:ven:wpaper:2020:07
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    References listed on IDEAS

    as
    1. Le Van, Cuong & Vailakis, Yiannis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Journal of Economic Theory, Elsevier, vol. 123(2), pages 187-209, August.
    2. Allouch, Nizar, 2015. "On the private provision of public goods on networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 527-552.
    3. Sergio Currarini & Carmen Marchiori & Alessandro Tavoni, 2016. "Network Economics and the Environment: Insights and Perspectives," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 65(1), pages 159-189, September.
    4. 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).
    5. Christopher Costello & Bruno Nkuiya & Nicolas Quérou, 2019. "Spatial Renewable Resource Extraction under Possible Regime Shift," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 101(2), pages 507-527.
    6. Rebelo, Sergio, 1991. "Long-Run Policy Analysis and Long-Run Growth," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 500-521, June.
    7. Sebastian G. Kessing, 2007. "Strategic Complementarity in the Dynamic Private Provision of a Discrete Public Good," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(4), pages 699-710, August.
    8. Costello, Christopher & Quérou, Nicolas & Tomini, Agnes, 2015. "Partial enclosure of the commons," Journal of Public Economics, Elsevier, vol. 121(C), pages 69-78.
    9. Engelbert Dockner & Florian Wagener, 2014. "Markov perfect Nash equilibria in models with a single capital stock," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 56(3), pages 585-625, August.
    10. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
    11. 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.
    12. Michael Carlos Best & James S Cloyne & Ethan Ilzetzki & Henrik J Kleven, 2020. "Estimating the Elasticity of Intertemporal Substitution Using Mortgage Notches," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 87(2), pages 656-690.
    13. Kaffine Daniel T & Costello Christopher, 2011. "Unitization of Spatially Connected Renewable Resources," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-31, 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. 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.
    16. Efthymia Kyriakopoulou & Anastasios Xepapadeas, 2021. "Natural Resource Management: A Network Perspective," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 80(2), pages 221-256, October.
    17. Matthew Elliott & Benjamin Golub, 2019. "A Network Approach to Public Goods," Journal of Political Economy, University of Chicago Press, vol. 127(2), pages 730-776.
    18. de Frutos, Javier & Martín-Herrán, Guiomar, 2019. "Spatial effects and strategic behavior in a multiregional transboundary pollution dynamic game," Journal of Environmental Economics and Management, Elsevier, vol. 97(C), pages 182-207.
    19. Sanchirico, James N. & Wilen, James E., 2005. "Optimal spatial management of renewable resources: matching policy scope to ecosystem scale," Journal of Environmental Economics and Management, Elsevier, vol. 50(1), pages 23-46, July.
    20. George Georgiadis, 2015. "Projects and Team Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 187-218.
    21. 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.
    22. Jakša Cvitanić & George Georgiadis, 2016. "Achieving Efficiency in Dynamic Contribution Games," American Economic Journal: Microeconomics, American Economic Association, vol. 8(4), pages 309-342, November.
    23. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
    24. Dolmas, Jim, 1996. "Endogenous Growth in Multisector Ramsey Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(2), pages 403-421, May.
    25. 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, September.
    26. 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.
    27. Cuong Le Van & Yiannis Vailakis, 2005. "Recursive utility and optimal growth with bounded or unbounded returns," Post-Print halshs-00101201, HAL.
    28. Christopher Costello & Nicolas Querou & Agnès Tomini, 2015. "Partial enclosure of the commons," Post-Print hal-01457323, HAL.
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    Cited by:

    1. Giorgio Fabbri & Silvia Faggian & Giuseppe Freni, 2023. "Growth models with externalities on networks," Working Papers 2024-04, Grenoble Applied Economics Laboratory (GAEL).
    2. Georgios I. Papayiannis, 2022. "Robust Policy Selection and Harvest Risk Quantification for Natural Resources Management under Model Uncertainty," Papers 2202.05326, arXiv.org.

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    More about this item

    Keywords

    Harvesting; spatial models; differential games; nature reserve;
    All these keywords.

    JEL classification:

    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q28 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Government Policy
    • R11 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General Regional Economics - - - Regional Economic Activity: Growth, Development, Environmental Issues, and Changes
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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