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On The Optimal Order of Natural Resourse Use When the Capacity of the Inexhaustible Substitute is Limited

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  • Amigues, J.-P.
  • Favard, P.
  • Gaudet, G.
  • Moreaux, M.

Abstract

Consider a general equilibrium framework where the marginal cost of extraction from several deposits of an exhaustible resource is constant in terms of an inexhaustible perfect substitiute and differs between deposits. The instantaneous rate of productionfrom the inexhaustible resourcce is subject to a capacity constraint. We show, under standard assumptions, that not only may it be optimal to begin using a high cost resource before a lower cost one is depleted, as shown in Kemp and Long (1980), but it may be optimal t obegin using it strictly before the lower cost one is evenput into use.

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  • Amigues, J.-P. & Favard, P. & Gaudet, G. & Moreaux, M., 1996. "On The Optimal Order of Natural Resourse Use When the Capacity of the Inexhaustible Substitute is Limited," Papers 96.431, Toulouse - GREMAQ.
    • Handle: RePEc:fth:gremaq:96.431
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    1. Kiviet, Jan F. & Dufour, Jean-Marie, 1997. "Exact tests in single equation autoregressive distributed lag models," Journal of Econometrics, Elsevier, vol. 80(2), pages 325-353, October.
    2. Dufour, J.M., 1995. "Some Impossibility Theorems in Econometrics with Applications to Instrumental Variables, Dynamic Models and Cointegration," Cahiers de recherche 9539, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    3. Blum, U. & Dudley, L., 1996. "The Rise and Decline of the East German Economy, 1949-1989," Cahiers de recherche 9616, Universite de Montreal, Departement de sciences economiques.
    4. David N. Margolis, 1996. "Cohort Effects and Returns to Seniority in France," Annals of Economics and Statistics, GENES, issue 41-42, pages 443-464.
    5. RenÈ Garcia, 2002. "Are the Effects of Monetary Policy Asymmetric?," Economic Inquiry, Western Economic Association International, vol. 40(1), pages 102-119, January.
    6. Garcia, Rene & Lusardi, Annamaria & Ng, Serena, 1997. "Excess Sensitivity and Asymmetries in Consumption: An Empirical Investigation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(2), pages 154-176, May.
    7. Ghysels, E. & Hall, A. & Lee, H.S., 1995. "On Periodic Structures and Testing for Seasonal Unit Roots," Cahiers de recherche 9518, Universite de Montreal, Departement de sciences economiques.
    8. Arcand, J.L. & Boulila, G. & Tritten, C., 1995. "Intergenerational Contracts, Remittances, and Growth," Cahiers de recherche 9543, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    9. Parent, Daniel, 2002. "Matching, human capital, and the covariance structure of earnings," Labour Economics, Elsevier, vol. 9(3), pages 375-404, July.
    10. Ghysels, Eric & Guay, Alain & Hall, Alastair, 1998. "Predictive tests for structural change with unknown breakpoint," Journal of Econometrics, Elsevier, vol. 82(2), pages 209-233, February.
    11. Leonard Dudley, 2000. "The rationality of revolution," Economics of Governance, Springer, vol. 1(1), pages 77-103, March.
    12. Mercenier, Jean & Michel, Philippe, 2001. "Temporal aggregation in a multi-sector economy with endogenous growth," Journal of Economic Dynamics and Control, Elsevier, vol. 25(8), pages 1179-1191, August.
    13. Ghysels, E. & Gourieroux, C. & Jasiak, J., 1995. "Market Time and Asset Price Movements: Theory and Estimation," Cahiers de recherche 9536, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    14. Daniel Parent, 1995. "Industry-Specific Capital and the Wage Profile: Evidence from the NLSY and the PSID," CIRANO Working Papers 95s-26, CIRANO.
    15. Bossaerts, P. & Ghysels, E. & Gourieroux, C., 1996. "Arbitrage-Based Pricing when Volatility is Stochastic," Cahiers de recherche 9615, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    16. Ng, S. & Pinkse, J., 1995. "Nonparametric-two-Step Estimation of Unknown Regression Functions when the Regressors and the Regression Error Are not Independent," Cahiers de recherche 9551, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    17. Gonzalo, Jesus & Ng, Serena, 2001. "A systematic framework for analyzing the dynamic effects of permanent and transitory shocks," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1527-1546, October.
    18. Ghysels, E. & Harvey, A. & Renault, E., 1995. "Stochastic Volatility," Papers 95.400, Toulouse - GREMAQ.
    19. Eric Ghysels & Lynda Khalaf & Cosmé Vodounou, 2003. "Simulation Based Inference In Moving Average Models," Annals of Economics and Statistics, GENES, issue 69, pages 85-99.
    20. Ng, Serena & Schaller, Huntley, 1996. "The Risky Spread, Investment, and Monetary Policy Transmission: Evidence on the Role of Asymmetric Information," The Review of Economics and Statistics, MIT Press, vol. 78(3), pages 375-383, August.
    21. Dionne, Georges & Fombaron, Nathalie, 1996. "Non-convexities and the efficiency of equilibria in insurance markets with asymmetric information," Economics Letters, Elsevier, vol. 52(1), pages 31-40, July.
    22. Georges Dionne & Tahar Mounsif, 1996. "Investment Under Demand Uncertainty: The Newsboy Problem Revisited," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 21(2), pages 179-189, December.
    23. Arcand, J.L. & Dagenais, M.G., 1995. "The Empirics of Economic Growth in a Cross Section of Countries: Do Errors in Variables Really Not Matter?," Cahiers de recherche 9546, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    24. Marcel Boyer & Philippe Mahenc & Michel Moreaux, 1995. "Entry Blockading Locations," CIRANO Working Papers 95s-51, CIRANO.
    25. Hosken, D.S. & Margolis, D.N., 1996. "The Efficiency of Collective Bargaining in Public Schools," Cahiers de recherche 9609, Universite de Montreal, Departement de sciences economiques.
    26. Cardia, E. & Ambler, S., 1995. "Indexation Lags Heterodox Stabilization Programs," Cahiers de recherche 9504, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    27. Georges Dionne & Claude Fluet, 1995. "Incentives in Multi-Period Regulation and Procurement: A Graphical Analysis," Cahiers de recherche du Département des sciences économiques, UQAM 9511, Université du Québec à Montréal, Département des sciences économiques.
    28. De Lemos Grandmont, R., 1995. "Multivariate Cointegration in the Presence of Structural Breaks: the Case of Money Demand in Mexico," Cahiers de recherche 9554, Universite de Montreal, Departement de sciences economiques.
    29. Lewis, Tracy R, 1982. "Sufficient Conditions for Extracting Least Cost Resource First," Econometrica, Econometric Society, vol. 50(4), pages 1081-1083, July.
    30. Kollmann, R., 1995. "Mark Up Fluctuations in U.S. Manufacturing and Trade: New Empirical Evidence Based on a Model of Optimal Storage," Cahiers de recherche 9526, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    31. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, vol. 67(2), pages 251-334, March.
    32. Dufour, J.M. & Kiviet, J.F., 1995. "Exact Tests Structural Change in First-Order Dynamic Models," Cahiers de recherche 9548, Universite de Montreal, Departement de sciences economiques.
    33. BOYER, Marcel & MOREAUX, Michel, 1995. "Capacity Commitment Versus Flexibility: The Technological Choice Nexus in a Strategic Context," Cahiers de recherche 9556, Universite de Montreal, Departement de sciences economiques.
    34. Dionne, Georges & Gollier, Christian, 1996. "A Model of Comparative Statics for Changes in Stochastic Returns with Dependent Risky Assets," Journal of Risk and Uncertainty, Springer, vol. 13(2), pages 147-162, September.
    35. Bryan Campbell & Eric Ghysels, 1997. "An Empirical Analysis of the Canadian Budget Process," Canadian Journal of Economics, Canadian Economics Association, vol. 30(3), pages 553-576, August.
    36. Ghysels, E. & Ng, S., 1996. "A Semi-Parametric Factor Model for Interest Rates," Cahiers de recherche 9612, Universite de Montreal, Departement de sciences economiques.
    37. Boyer, Marcel & Laffont, Jean-Jacques, 1997. "Environmental risks and bank liability," European Economic Review, Elsevier, vol. 41(8), pages 1427-1459, August.
    38. Marcel Boyer & Jean-Jacques Laffont, 1996. "Toward a Political Theory of Environmental Policy," CIRANO Working Papers 96s-07, CIRANO.
    39. Dionne, G. & Artis, M. & Guillen, M., 1995. "On the Repayment of Personal Loans under Asymmetrical Information: A Count Data Model Approach," Papers 9509, Paris X - Nanterre, U.F.R. de Sc. Ec. Gest. Maths Infor..
    40. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    41. Dudley, Leonard, 1999. "Communications and economic growth," European Economic Review, Elsevier, vol. 43(3), pages 595-619, March.
    42. Kollman, R., 1996. "The Exchange Rate in a Dynamic-Optimizing Current Account Model with Nominal Rigidities: a Quantitative Investigation," Cahiers de recherche 9614, Universite de Montreal, Departement de sciences economiques.
    43. Ruge-Murcia, Francisco J., 1999. "Government expenditure and the dynamics of high inflation," Journal of Development Economics, Elsevier, vol. 58(2), pages 333-358, April.
    44. Loranger, J.G., 1995. "Neoliberalism and the Overwelming Influence of Financial Markets: A Comparative Analysis between NAFTA Countries and Other G-& Countries," Cahiers de recherche 9541, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    45. René Garcia & Eric Ghysels & Maral Kichian, 1995. "On the Dynamic Specification of International Asset Pricing Models," CIRANO Working Papers 95s-39, CIRANO.
    46. Loranger, J.G., 1995. "Neoliberalism and the Overwelming Influence of Financial Markets: a Comparative Analysis between NAFTA Countries and Other G-& Countries," Cahiers de recherche 9541, Universite de Montreal, Departement de sciences economiques.
    47. Margolis, D..N., 1995. "Firm Heterogeneity and Worker Self-Selection Bias Estimated Returns to Seniority," Cahiers de recherche 9502, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    48. Perron, Pierre & Ng, Serena, 1998. "An Autoregressive Spectral Density Estimator At Frequency Zero For Nonstationarity Tests," Econometric Theory, Cambridge University Press, vol. 14(5), pages 560-603, October.
    49. Parent, Daniel, 1996. "Survol des contributions théoriques et empiriques liées au capital humain," L'Actualité Economique, Société Canadienne de Science Economique, vol. 72(3), pages 315-356, septembre.
    50. Sprumont, Yves, 1998. "Ordinal Cost Sharing," Journal of Economic Theory, Elsevier, vol. 81(1), pages 126-162, July.
    51. Nicole M. Fortin & Thomas Lemieux, 1998. "Rank Regressions, Wage Distributions, and the Gender Gap," Journal of Human Resources, University of Wisconsin Press, vol. 33(3), pages 610-643.
    52. Kemp, Murray C & Long, Ngo Van, 1980. "On Two Folk Theorems Concerning the Extraction of Exhaustible Resources," Econometrica, Econometric Society, vol. 48(3), pages 663-673, April.
    53. van Geldrop, Jan H. & Withagen, Cees A. A. M., 1993. "General equilibrium and international trade with exhaustible resources," Journal of International Economics, Elsevier, vol. 34(3-4), pages 341-357, May.
    54. Ng, Serena, 1995. "Testing for Homogeneity in Demand Systems When the Regressors Are Nonstationary," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 147-163, April-Jun.
    55. Viala, P. & Briys, E., 1995. "Optimal Insurance Design Under Background Risk," Cahiers de recherche 9550, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    56. Proulx, P.P., 1996. "Economic integration in North America: Formal, Informal and Spatial Aspects," Cahiers de recherche 9623, Universite de Montreal, Departement de sciences economiques.
    57. Dufour, Jean-Marie & Kiviet, Jan F., 1996. "Exact tests for structural change in first-order dynamic models," Journal of Econometrics, Elsevier, vol. 70(1), pages 39-68, January.
    58. Bronsard, C. & Salvas-Bronsard, L. & Trognon, A., 1995. "On the Residual Dynamics Implied by Rational Expectations Hypothesis," Cahiers de recherche 9522, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    59. Arcand, Jean-Louis, 1996. "Land-Ownership, Working Capital and Agricultural Output: Egypt 1913-58," Journal of African Economies, Centre for the Study of African Economies, vol. 5(1), pages 92-158, March.
    60. Robert M. Solow & Frederic Y. Wan, 1976. "Extraction Costs in the Theory of Exhaustible Resources," Bell Journal of Economics, The RAND Corporation, vol. 7(2), pages 359-370, Autumn.
    61. Jean-Marie Dufour & Jan F. Kiviet, 1998. "Exact Inference Methods for First-Order Autoregressive Distributed Lag Models," Econometrica, Econometric Society, vol. 66(1), pages 79-104, January.
    62. Dansereau, P. & Martens, A. & Schnabl, H., 1996. "Production Linkages Between Informal and Formal Activities Considering Domestic and Imported Inputs: An Application of the Minimal-Flow-Analysis Method to Senegal," Cahiers de recherche 9626, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    63. Yves Sprumont, 1998. "Equal factor equivalence in economies with multiple public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 15(4), pages 543-558.
    64. Garcia, R., 1995. "Asymptotic Null Contribution of the Likelihood Ratio Test in Markov Switching Models," Cahiers de recherche 9510, Universite de Montreal, Departement de sciences economiques.
    65. Arcand, J.L., 1995. "Land Ownership, Working Capital, and the Agricultural Output: Egypt, 1913-1958," Cahiers de recherche 9545, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    66. Chakravorty, Ujjayant & Krulce, Darrell L, 1994. "Heterogeneous Demand and Order of Resource Extraction," Econometrica, Econometric Society, vol. 62(6), pages 1445-1452, November.
    67. Weitzman, Martin L., 1976. "The optimal development of resource pools," Journal of Economic Theory, Elsevier, vol. 12(3), pages 351-364, June.
    68. Proulx, P.P., 1996. "Economic integration in North America: Formal, Informal and Spatial Aspects," Cahiers de recherche 9623, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    69. Yves Sprumont, 1998. "On the Game-Theoretic Structure of Public-Good Economies," International Journal of Game Theory, Springer;Game Theory Society, vol. 26(4), pages 455-472.
    70. De Lemos Grandmont, R., 1995. "Mexico's Financial Liberalization and Reform, a Critical Overview," Cahiers de recherche 9553, Universite de Montreal, Departement de sciences economiques.
    71. Daniel Parent, 1995. "Industry-Specific Capital and the Wage Profile: Evidence from the NLSY and the PSID," Working Papers 729, Princeton University, Department of Economics, Industrial Relations Section..
    72. Seierstad, Atle, 1984. "Sufficient conditions in free final time optimal control problems. A comment," Journal of Economic Theory, Elsevier, vol. 32(2), pages 367-370, April.
    73. De Lemos Grandmont, R., 1995. "Mexico's Financial Liberalization and Reform, A Critical Overview," Cahiers de recherche 9553, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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    Keywords

    RESOURCE ALLOCATION;

    JEL classification:

    • Q3 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Nonrenewable Resources and Conservation

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