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The Road to Extinction: Commons with Capital Markets

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  • Jayasri Dutta

    (University of Birmingham)

  • Colin Rowat

    (University of Birmingham)

Abstract

We study extinction in a commons problem in which agents have access to capital markets. When the commons grows more quickly than the interest rate, multiple equilibria are found for intermediate commons endowments. In one of these, welfare decreases as the resource becomes more abundant, a `re- source curse'. As marginal extraction costs become constant, market access instantly depletes the commons. Without markets - the classic environment - equilibria are unique; extinction dates and welfare increase with the endow- ment. When the endowment is either very abundant or very scarce, market access improves welfare. As marginal costs of extraction from the commons become constant, market access can reduce welfare if the subjective discount rate exceeds the interest rate.

Suggested Citation

  • Jayasri Dutta & Colin Rowat, 2007. "The Road to Extinction: Commons with Capital Markets," WEF Working Papers 0024, ESRC World Economy and Finance Research Programme, Birkbeck, University of London.
  • Handle: RePEc:wef:wpaper:0024
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    1. Benhabib, Jess & Radner, Roy, 1992. "The Joint Exploitation of a Productive Asset: A Game-Theoretic Approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 155-190, April.
    2. Karla Hoff & Joseph E. Stiglitz, 2004. "After the Big Bang? Obstacles to the Emergence of the Rule of Law in Post-Communist Societies," American Economic Review, American Economic Association, vol. 94(3), pages 753-763, June.
    3. Xavier Sala-i-Martin & Arvind Subramanian, 2013. "Addressing the Natural Resource Curse: An Illustration from Nigeria," Journal of African Economies, Centre for the Study of African Economies, vol. 22(4), pages 570-615, August.
    4. 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.
    5. Clark, Colin W, 1973. "Profit Maximization and the Extinction of Animal Species," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 950-961, July-Aug..
    6. Michael Kremer & Charles Morcom, 2003. "Elephants: Reply," American Economic Review, American Economic Association, vol. 93(4), pages 1446-1448, September.
    7. Charles Morcom & Michael Kremer, 2000. "Elephants," American Economic Review, American Economic Association, vol. 90(1), pages 212-234, March.
      • Michael Kremer & Charles Morcom, 1996. "Elephants," NBER Working Papers 5674, National Bureau of Economic Research, Inc.
      • Kremer, M. & Morcom, C., 1996. "Elephants," Working papers 96-17, Massachusetts Institute of Technology (MIT), Department of Economics.
    8. 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.
    9. 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.
    10. Serguey Braguinsky & Roger Myerson, 2007. "Capital and growth with oligarchic property rights," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 676-704, October.
    11. 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.
    12. Pierre-Olivier Gourinchas & Olivier Jeanne, 2006. "The Elusive Gains from International Financial Integration," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(3), pages 715-741.
    13. Erwin H. Bulte & Richard D. Horan & Jason F. Shogren, 2003. "Elephants: Comment," American Economic Review, American Economic Association, vol. 93(4), pages 1437-1445, September.
    14. Sinn, Hans-Werner, 1984. "Common Property Resources, Storage Facilities and Ownership Structures: A Cournot Model of the Oil Market," Economica, London School of Economics and Political Science, vol. 51(23), pages 235-252, August.
    15. Rowat, Colin, 2007. "Non-linear strategies in a linear quadratic differential game," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3179-3202, October.
    16. Daron Acemoglu & Simon Johnson & James A. Robinson, 2001. "The Colonial Origins of Comparative Development: An Empirical Investigation," American Economic Review, American Economic Association, vol. 91(5), pages 1369-1401, December.
    17. Hongbin Cai & Daniel Treisman, 2005. "Does Competition for Capital Discipline Governments? Decentralization, Globalization, and Public Policy," American Economic Review, American Economic Association, vol. 95(3), pages 817-830, June.
    18. 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.
    19. Gaudet, Gerard & Moreaux, Michel & Salant, Stephen W., 2002. "Private Storage of Common Property," Journal of Environmental Economics and Management, Elsevier, vol. 43(2), pages 280-302, March.
    20. 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.
    21. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Journal of Political Economy, University of Chicago Press, vol. 62, pages 124-124.
    22. Gerhard Sorger, 1997. "Markov-perfect Nash equilibria in a class of resource games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 11(1), pages 79-100.
    23. Sonin, Konstantin, 2003. "Why the rich may favor poor protection of property rights," Journal of Comparative Economics, Elsevier, vol. 31(4), pages 715-731, December.
    24. Williamson, John, 2000. "What Should the World Bank Think about the Washington Consensus?," The World Bank Research Observer, World Bank, vol. 15(2), pages 251-264, August.
    25. Robin Brooks & Michael Murray & Stephen Salant & Jill C. Weise, 1999. "When Is the Standard Analysis of Common Property Extraction under Free Access Correct? A Game-Theoretic Justification for Non-Game-Theoretic Analyses," Journal of Political Economy, University of Chicago Press, vol. 107(4), pages 843-858, August.
    26. Fudenberg, Drew & Tirole, Jean, 1983. "Capital as a commitment: Strategic investment to deter mobility," Journal of Economic Theory, Elsevier, vol. 31(2), pages 227-250, December.
    27. Homans, Frances R. & Wilen, James E., 2005. "Markets and rent dissipation in regulated open access fisheries," Journal of Environmental Economics and Management, Elsevier, vol. 49(2), pages 381-404, March.
    28. R. G. Lipsey & Kelvin Lancaster, 1956. "The General Theory of Second Best," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 24(1), pages 11-32.
    29. H. Scott Gordon, 1954. "The Economic Theory of a Common-Property Resource: The Fishery," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 9, pages 178-203, Palgrave Macmillan.
    30. Ian Bannon & Paul Collier, 2003. "Natural Resources and Violent Conflict : Options and Actions," World Bank Publications - Books, The World Bank Group, number 15047, December.
    31. Mr. Ayhan Kose & Mr. Kenneth Rogoff & Mr. Eswar S Prasad & Shang-Jin Wei, 2003. "Effects of Financial Globalization on Developing Countries: Some Empirical Evidence," IMF Occasional Papers 2003/007, International Monetary Fund.
    32. Vives, Xavier, 2004. "Complementarities and Games: New Developments," CEPR Discussion Papers 4742, C.E.P.R. Discussion Papers.
    33. Houba, Harold & Sneek, Koos & Vardy, Felix, 2000. "Can negotiations prevent fish wars?," Journal of Economic Dynamics and Control, Elsevier, vol. 24(8), pages 1265-1280, July.
    34. Timothy Besley & Robin Burgess, 2003. "Halving Global Poverty," Journal of Economic Perspectives, American Economic Association, vol. 17(3), pages 3-22, Summer.
    35. Kaufmann, Daniel & Kraay, Aart & Mastruzzi, Massimo, 2005. "Governance matters IV : governance indicators for 1996-2004," Policy Research Working Paper Series 3630, The World Bank.
    36. Dutta, Prajit K & Sundaram, Rangarajan K, 1993. "The Tragedy of the Commons?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(3), pages 413-426, July.
    37. Philip R. Lane & Aaron Tornell, 1999. "The Voracity Effect," American Economic Review, American Economic Association, vol. 89(1), pages 22-46, March.
    38. 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.
    39. Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May.
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    Cited by:

    1. 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.
    2. Fabbri, G. & Faggian, S. & Freni, G., 2018. "Spatial resource wars: A two region example," Working Papers 2018-04, Grenoble Applied Economics Laboratory (GAEL).
    3. Francisco Alvarez-Cuadrado & Ngo Van Long, 2008. "Relative Consumption and Resource Extraction," CIRANO Working Papers 2008s-27, CIRANO.
    4. 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.
    5. Rahmi İlkılıç, 2011. "Networks of common property resources," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 105-134, May.
    6. Jayasri Dutta & Colin Rowat, 2004. "The Road to Extinction: Commons with Capital Markets," GE, Growth, Math methods 0412001, University Library of Munich, Germany.
    7. 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.
    8. 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).

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    More about this item

    Keywords

    commons; capital markets; perfect foresight; extinction; resource curse; storage;
    All these keywords.

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making
    • O17 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - Formal and Informal Sectors; Shadow Economy; Institutional Arrangements
    • Q21 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Demand and Supply; Prices

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