Free Access
Math. Model. Nat. Phenom.
Volume 9, Number 4, 2014
Optimal control
Page(s) 38 - 64
Published online 20 June 2014
  1. J.P. Amigues, M. Moreaux. Optimal Growth under Climate Constraint. Unpublished manuscript, (2013) [Google Scholar]
  2. J. Aznar-Márquez, J.R. Ruiz-Tamarit. Sufficient and Necessary Conditions for Non-Catastrophic Growth. IRES Discussion Paper, 2012-27, Université Catholique de Louvain, Belgium. [Google Scholar]
  3. E. Barbier. The Concept of Sustainable Economic Development. Environmental Conservation, 14 (1987), no. 2, 101–110. [CrossRef] [Google Scholar]
  4. R. Boucekkine, N. Hritonenko, Y. Yatsenko. Optimal Investment in Heterogenous Capital and Technology under Restricted Resources. Journal of Optimization Theory and Applications, (2013) forthcoming. [Google Scholar]
  5. R. Boucekkine, B. Martinez, J.R. Ruiz-Tamarit. Growth vs Level Effect of Population Change on Economic Development: An inspection into human-capital-related mechanisms. Journal of Mathematical Economics, 49 (2013), no. 4, 312–334. [CrossRef] [MathSciNet] [Google Scholar]
  6. R. Boucekkine, A. Pommeret, F. Prieur. Optimal Regime Switching and Threshold Effects. Journal of Economic Dynamics and Control, 37 (2013a), no. 12, 2979–2997. [CrossRef] [MathSciNet] [Google Scholar]
  7. R. Boucekkine, A. Pommeret, F. Prieur. Technological vs Ecological Switch and the Environmental Kuznets Curve. American Journal of Agricultural Economics, 95 (2013b), no. 2, 252–260. [Google Scholar]
  8. Th. Bréchet, N. Hritonenko, Y. Yatsenko. Adaptation and Mitigation in Long-Term Climate Policy. Environmental and Resource Economics, 55 (2013), no. 2, 217–243. [CrossRef] [Google Scholar]
  9. J.A. Brida, E. Accinelli. The Ramsey Model with Logistic Population Growth. Economic Bulletin, (2007), no. 3(15), 1–8. [Google Scholar]
  10. M. M. Byrne. Is Growth a Dirty Word? Pollution, Abatement and Endogenous Growth. Journal of Development Economics, 54 (1997), no. 2, 261–284. [CrossRef] [Google Scholar]
  11. J. Caballé, M. S. Santos. On Endogenous Growth with Physical and Human Capital. Journal of Political Economy, 101 (1993), no. 6, 1042–1067. [CrossRef] [Google Scholar]
  12. Y. S. Chang, S. J. Baek. Limit to Improvement: Myth or Reality? Empirical Analysis of Historical Improvement on three Technologies Influential in the Evolution of Civilization. Technological Forecasting and Social Change, 77 (2010), no. 5, 712–729. [CrossRef] [Google Scholar]
  13. G. Chichilnisky. An Axiomatic Approach to Sustainable Development. Social Choice and Welfare, 13 (1996), no. 2, 231–257. [CrossRef] [Google Scholar]
  14. H. Daly. Towards some Operational Principles of Sustainable Development. Ecological Economics, 2 (1990), no. 1, 1–6. [Google Scholar]
  15. M. Ferrara, L. Guerrini. The Ramsey Model with Logistic Population Growth and Benthamithe Felicity Function. Proceeding of the 10th WSEAS International Conference on Mathematics and Computers in Business and Economics, Prague, Czech Republic, (2009), March 23-25, 17–20. [Google Scholar]
  16. B. A. Forster. Optimal Pollution with a non Constant Exponential Rate of Decay. Journal of Environmental Economics and Management, 2 (1975), no. 1, 1–6. [CrossRef] [Google Scholar]
  17. L. Guerrini. The Solow-Swan Model with a Bounded Population Growth Rate. Journal of Mathematical Economics, 42 (2006), no. 1, 14–21. [CrossRef] [MathSciNet] [Google Scholar]
  18. R. Gradus, S. Smulders. The Trade-off between Environmental Care and Long-term Growth: Pollution in three Prototype Growth Models. Journal of Economics, 58 (1993), no. 1, 25–51. [CrossRef] [Google Scholar]
  19. R. Hartwick. Intergenerational Equity and the Investment of Rents from Exhaustive Resources. American Economic Review, 67 (1977), no. 5, 972–974. [Google Scholar]
  20. M. Hoel, L. Karp. Taxes versus Quotas for a Stock Pollutant. Resource and Energy Economics, 24 (2002), 367–384. [CrossRef] [Google Scholar]
  21. Ch. Huang, D. Cai. Constant-Returns Endogenous Growth with Pollution Control. Environmental and Resource Economics, 4 (1994), no. 4, 383–400. [CrossRef] [Google Scholar]
  22. Ph. Michel, G. Rotillon. Disutility of Pollution and Endogenous Growth. Environmental and Resource Economics, 6 (1995), no. 3, 279–300. [Google Scholar]
  23. H. Mohtadi. Environment, Growth and Optimal Policy Design. Journal of Public Economics, 63 (1996), no. 1, 119–140. [CrossRef] [Google Scholar]
  24. C. B. Mulligan, X. Sala-i-Martin. Transitional Dynamics in Two-Sector Models of Endogenous Growth. Quarterly Journal of Economics, 108 (1993), no. 3, 739–773. [CrossRef] [Google Scholar]
  25. W. Nordhaus. Rolling the ‘DICE’: An Optimal Transition Path for Controlling Greenhouse Gases. Environmental and Energy Economics, 15 (1993), no. 1, 27–50. [Google Scholar]
  26. J. C. V. Pezzey. Sustainability: an Interdisciplinary Guide. Environmental Values, 1 (1992), 321–362. [CrossRef] [Google Scholar]
  27. F. Prieur. The Environmental Kuznets Curve in a World of Irreversibility. Economic Theory, 40 (2009), no. 1, 57–90. [Google Scholar]
  28. A. B. Reis. Endogenous Growth and the Possibility of Eliminating Pollution. Journal of Environmental Economics and Management, 42 (2001), no. 3, 360–373. [CrossRef] [Google Scholar]
  29. A. Seierstad, K. Sydsaeter. Optimal Control Theory with Economic Applications. Elsevier Science, Amsterdam, 1987. [Google Scholar]
  30. R. Solow. Sustainability: An economist’s perspective. Lecture given at Woods Hole, Massachusetts, 1991. Reprinted in R. Dorfman & N. S. Dorfman (Eds.), Economics of the Environment, Selected Reading. New York: WWW Norton, 179-187, 1993. [Google Scholar]
  31. R. Solow. The Economics of Resources or the Resources of Economics. American Economic Review, Papers and Proceedings, 64 (1974), no. 2, 1–14. [Google Scholar]
  32. N. L. Stokey. Are there Limits to Growth? International Economic Review, 39 (1998), no. 1, 1–31. [Google Scholar]
  33. O. Tahvonen, C. Withagen. Optimality of Irreversible Pollution Accumulation. Journal of Economic Dynamics and Control, 20 (1996), no. 9.10, 1775–1795. [CrossRef] [Google Scholar]
  34. O. Tahvonen, J. Kuuluvainen. Economic Growth, Pollution and Renewable Resources. Journal of Environmental Economics and Management, 24 (1993), no. 2, 101–118. [CrossRef] [Google Scholar]
  35. Y, Tsur, A. Zemel. Optimal Transition to Backstop Substitutes for Nonrenewable Resources. Journal of Economic Dynamics and Control, 27 (2003), no. 4, 551–572. [CrossRef] [MathSciNet] [Google Scholar]
  36. UNPD. World Population to 2300. New York: United Nations Population Division, 2004. [Google Scholar]
  37. M. L. Weitzman. A Review of the Stern Review on the Economics of Climate Change. Journal of Economic Literature, 45 (2007), no. 3, 703–724. [CrossRef] [Google Scholar]
  38. C. Withagen. Pollution and Exhaustibility of Fossil Fuels. Resources and Energy Economics, 16 (1994), no. 3, 235–242. [CrossRef] [Google Scholar]

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