Mustafa Akan



Sustainability of current economic system is analyzed in the face of growing population, accelerating exploitation of limited natural resources, and advances in technology. A Cobb-Douglas type of production function is assumed. Optimal control theory is employed to model the problem. It is proved that long term sustainability is possible, with or without population growth, only under certain conditions related to production and utility functions of the society.


sustainability; technology; consumption; optimal control theory; economic development; natural resources

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Arrow, K., Dasgupta, P., Goulder, L., Daily, G., Ehrlich, P., Heal, G., Levin, S., Maler, K.G., Schneider, S., Starrett, D., & Walker, B. (2004). Are we consuming too much? Journal of Economic Perspectives, 18(5), 147–172. doi:

Azomahou, T.T., Mishra, T., Parhi, M. (2014). Economic growth under stochastic population and pollution shocks. Manchester Business School, Forthcoming.

Brown, L. (2009). Plan B 4.0-Mobilizing to Save Civilization. W.W.Norton.

Boucekkine, R., Martinez, B., & Ruiz-Tamarit, R. (2014). Optimal sustainable policies under pollution ceiling: the demographic side. Mathematical Modeling of Natural Phenomena, 9(4), 38–63. doi:

Chichilnisky, G. (1997). What is a sustainable development? Land Economic, 73(4), 476– –491. doi:

Chichilnisky,G., Heal,G., & Beltratti, A. (1995). The Green Golden Rule. Economic Letters, 49, 174–179. doi:

Constant, K., Nourryb, C., & Seegmuller, T. (2014). Population growth in polluting industrialization. Resource and Energy Economics, 36, 229–247. doi: http://dx.doi. org/10.1016/j.reseneeco.2013.05.004.

Gordon, R.J. (2002). Technology and Economic Performance in the American Economy. NBER.

Hestenes, M.R. (1966). Calculus of Variations and Optimal Control Theory. New York: Wiley.

International Energy Outlook (2011).

Jackson, T. (2009). Beyond Growth Economy. Journal of Industrial Ecology, 13(4). doi:

Jorgenson, D.W., Ho, M.S., & Stiroh, K.J. (2008). A Retrospective Look at the U.S. Productivity Growth Resurgence. Journal of Economic Perspectives, 22(1), 3–24. doi:

Mansfied, E. (1971). Technological Change, Norton.

Marsiglio, S. (2011). On the relationship between population change and sustainable development. Research in Economics, 65, 353–364. doi: rie.2011.01.007.

McKinsey Global Institute (2013). US Productivity Growth.

McKinsey Global Institute (2009). Growth and Renewal in the United States: Retooling America’s Economic Engine.

McArthur, J.W. (2002). Competiveness and Stages of Economic Development. World Economic Forum.

Meadows, D., Jorgen, R. (2004). Limits to Growth, The thirty-year update. Chelsea Green.

Nelson, R.R., (1996). The Sources of Economic Growth. Wiley Online Library.

OECD Economic Outlook Report (2011). No: 90.

Oliner, S.D. (2002). Information Technology and Productivity: Where Are We Now and Where Are We Going?. Federal Reserve Bank.

Porter, M.E., Sachs, J.D., Peterson Silver, E.A. (1979). Decision Systems for the Inventory Management and Production Planning. New York: John Wiley Sons Inc.

Pezzey, C.V., & Toman, M.A. (2002). The Economics of Sustainability: A Review of Journal articles. Resources for the Future, January.

Sachs, J.D., & McArthur, J. M. (2002). Technological Advancement and long-term Economic growth in Asia. Speech by J.D. Sachs at Hong Kong University, May.

Skidelsky, R. (2009). Keynes: the return of the master. PublicAffairs.

Stiglitz, J.E., Sen, S., Fitoussi, J.P. (2010). Mismeasuring Our Lives The New Press.

UN Comprehensive Assessment of the Fresh Water Resources (1997).

World Bank (2012). World Bank Data, (accessed: 03.01.2015).

World Commission on Forests and Sustainable Development (1999).

ISSN 2300-1240 (print)
ISSN 2300-3065 (online)

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