Abstract
In this brief paper one shows the relevance of asymptotic control theory to the study of economic sustainable development. One also proposes a modeling framework where sustainable economic development is represented through a paradigm of optimal stochastic control with two time-scales. This shows that several contributions of Prof. Sethi, in the domain of hierarchical and multi-level control models in manufacturing and resource management can also serve to better understand the stakes of sustainability in economic growth and to assess long term environmental policies.
This work has been supported by the SNSF-NCCR “Climate” grant.
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References
Brock W. and J. Scheinkman, Global asymptotic stability of optimal control systems with application to the theory of economic growth, Journal of Economic Theory Vol. 12, pp. 164–190, 1976.
Brock W. and A. Haurie, On existence of overtaking optimal trajectories over an infinite time horizon, Mathematics of Operations Research Vol. 1, pp. 337–346, 1976.
Carlson D., A. Haurie and A. Leizarowitz, Infinite Horizon Optimal Control: Deterministic and stochastic Systems, Springer Verlag, 1994.
Cass D., Optimum growth in aggregative model of capital accumulation, Review of Economic Studies Vol. 32, pp. 233–240, 1965.
Drouet L., N. Edwards and A. Haurie, Coupling Climate and Economic Models in a Cost-Benefit Framework: A Convex Optimization Approach, Environmental Modeling and Assesment, to appear.
Feinstein C.D and D.G. Luenberger, Analysis of the asymptotic behavior of optimal control trajectories, SIAM Journal on Control and Optimization, Vol. 19, pp. 561–585, 1981.
Filar J.A., V. Gaitsgory and A. Haurie, Control of Singularly Perturbed Hybrid Stochastic Systems, IEEE Transactions on Automatic Control, Vol. 46, no. 2, pp 179–190, 2001.
Filar J.A. and A. Haurie, Singularly perturbed hybrid stochastic Systems, in G. Yin and Qing Zhang Eds. Mathematics of Stochastic Manufacturing Systems, Lectures in Applied Mathematics, American Mathematical Society, Vol. 33, pp. 101–126, 1997.
Haurie A., Integrated assessment modeling for global climate change: an infinite horizon viewpoint, Environmental Modeling and Assesment, 2003.
Haurie A., Turnpikes in multi-discount rate environments and GCC policy evaluation, in G. Zaccour ed. Optimal Control and Differential Games: Essays in Honor of Steffen Jørgensen, Kluwer Academic Publisher, 2002.
McKenzie L., Turnpike theory, Econometrica, Vol. 44, pp. 841–866, Nov. 1976.
Nordhaus W.D., An optimal transition path for controlling greenhouse gases, Science, Vol. 258, pp. 1315–1319, Nov. 1992.
Nordhaus W.D., Managing the Global Commons: The Economics of Climate Change, MIT Press, Cambridge, Mass., 1994.
Nordhaus W.D. and J. Boyer, Warming the World: Economic Models of Global Warming, MIT Press, Cambridge, Mass., 2000.
Portney P.R. and Weyant J., eds., Discounting and Intergenerational Effects, Resources for the Future, Washington, DC, 1999.
Puterman M., eds., Markov Decision Processes, Wiley Interscience, 1994.
Ramsey F., A mathematic theory of saving, Economic Journal: Vol. 38, pp. 543–549, 1928.
Rockafellar T., Saddle points of hamiltonian systems in convex problems of Lagrange, Journal of Optimization Theory and Applications, Vol. 12, pp 367–399, 1973.
Sethi J.P. and Q. Zhang., Hierarchical Decision Making in Stochastic Manufacturing Systems, Birkhaäuser Boston, Cambridge MA, 1995.
Sethi J.P. and Q. Zhang., Multilevel hierarchical decision making in stochastic marketing-production systems, SIAM Journal on Control and Optimizations, Vol. 33, 1995.
Sethi J.P., Some insights into near-optimal plans for stochastic manufacturing systems, in G. Yin and Qing Zhang Eds. Mathematics of Stochastic Manufacturing Systems, Lectures in Applied Mathematics, American Mathematical Society, Vol. 33, pp. 287–316, 1997.
Veinott A.F., Production planning with convex costs: a parametric study, Management Science, Vol. 10, pp 441–460, 1964.
Weitzman, M.L., Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate, Journal of Environmental Economics and Management: pp. 201–208, 1998.
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Haurie, A.B. (2005). Hierarchical and Asymptotic Optimal Control Models for Economic Sustainable Development. In: Deissenberg, C., Hartl, R.F. (eds) Optimal Control and Dynamic Games. Advances in Computational Management Science, vol 7. Springer, Boston, MA. https://doi.org/10.1007/0-387-25805-1_4
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DOI: https://doi.org/10.1007/0-387-25805-1_4
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