Hopf bifurcation in an overlapping generations resource economy with endogenous population growth rate

References

Accinelli, E., and J. G. Brida. 2005. “Re-Formulation of the Solow Economic Growth Model with the Richards Population Growth Law.” EconWPA at WUSTL 0508006.10.2139/ssrn.881518Suche in Google Scholar

Antoci, A., and M. Sodini. 2009. “Indeterminacy, Bifurcations and Chaos in an Overlapping Generations Model with Negative Environmental Externalities.” Chaos, Solitons and Fractals 42: 1439–1450.10.1016/j.chaos.2009.03.055Suche in Google Scholar

Arrow, K., B. Bolin, R. Costanza, P. Dasgupta, C. Folke, C. S. Holling, B. Jansson, S. Levin, K. Maler, C. Perrings, and D. Pimentel. 1995. “Economic Growth, Carrying Capacity, and the Environment.” Science 268: 520–521.10.1126/science.268.5210.520Suche in Google Scholar

Asea, Patrick K., and Paul J. Zak. 1999. “Time-to-Build and Cycles.” Journal of Economic Dynamics and Control 23: 1155–1175.10.3386/t0211Suche in Google Scholar

Azariadis, Costas. 1993. Intertemporal Macroeconomics. Cambridge: Blackwell.Suche in Google Scholar

Benhabib, J., and R. E. A. Farmer. 1999. “Indeterminacy and Sunspots in Macroeconomics.” In Handbook of Macroeconomics, edited by J. Taylor and M. Woodford, 387–448. Vol. 1, North-Holland, Amsterdam.10.1016/S1574-0048(99)01009-5Suche in Google Scholar

Beverton, R. J. H., and S. J. Holt. 1957. “On the Dynamics of Exploited Fish Populations.” Fishery Investigations 19: 1–533.10.1007/978-94-011-2106-4Suche in Google Scholar

Brianzoni, S., C. Mammana, and E. Michetti. 2007. “Complex Dynamics in the Neoclassical Growth Model with Differential Savings and Non-Constant Labor Force Growth.” Studies in Nonlinear Dynamics and Econometrics 11 (3): 1–17.10.2202/1558-3708.1407Suche in Google Scholar

Capasso, Vincenzo, Ralf Engbers, Davide La Torre. 2012. “Population Dynamics in a Spatial Solow Model with a Convex-Concave Production Function.” In Mathematical and Statistical Methods for Actuarial Sciences and Finance, 61–68. Springer.10.1007/978-88-470-2342-0_8Suche in Google Scholar

Dasgupta, P., and G. Heal. 1979. Economic Theory and Exhaustible Resources. Cambridge: Cambridge University Press.10.1017/CBO9780511628375Suche in Google Scholar

de la Croix, D., and P. Michel. 2002. A Theory of Economic Growth: Dynamics and Policy in Overlapping Generations. Cambridge University Press.10.1017/CBO9780511606434Suche in Google Scholar

Faria, J. R. 2004. “Economic Growth with a Realistic Population Growth Rate.” Political Economy Working Paper 05/04.Suche in Google Scholar

Farmer, Karl. 2000. “Intergenerational Natural – Capital Equality in an Overlapping – Generations Model with Logistic Regeneration.” Journal of Economics 72 (2): 129–152.10.1007/BF01676980Suche in Google Scholar

Golosov, M., L. E. Jones, and M. Tertilt. 2007. “Efficiency with Endogenous Population Growth.” Econometrica 75 (4): 1039–1071.10.3386/w10231Suche in Google Scholar

Grandmont, Jean-Michel., and G. Laroque. 1990. “Stability, Expectations and Predetermined Variables.” In Essays in Honor of Edmond Malinvaud, vol. 1, Microeconomics, edited by P. Champsaur. Cambridge: MIT Press.Suche in Google Scholar

Grandmont, J.-M., P. Pintus, and R. de Vilder. 1998. “Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles.” Journal of Economic Theory 80: 14–59.10.1006/jeth.1997.2383Suche in Google Scholar

Kemp, M., and N. Van Long. 1979. “The Under-Exploitation of Natural Resources: A Model with Overlapping Generations.” Economic Record 55: 214–221.10.1111/j.1475-4932.1979.tb02223.xSuche in Google Scholar

Kind, Christoph. 1999. “Remarks on the Economic Interpretation of Hopf Bifurcations.” Economic Letters 62: 147–154.10.1016/S0165-1765(98)00224-9Suche in Google Scholar

Koskela, E., M. Ollikainen, and M. Puhakka. 2002. “Renewable Resources in an Overlapping Generations Economy without Capital.” Journal of Environmental Economics and Management 43: 497–517.10.1006/jeem.2001.1231Suche in Google Scholar

Koskela, E., M. Ollikainen, and M. Puhakka. 2008. “Saddles and Bifurcations in an Overlapping Generations Economy with a Renewable Resource.” Finnish Economic Papers 21 (1): 3–21.10.2139/ssrn.263791Suche in Google Scholar

Michel, P., and B. Wigniolle. 2007. “On Efficient Child Making.” Economic Theory 31: 307–326.10.1007/s00199-006-0099-1Suche in Google Scholar

Mourmouras, A. 1991. “Competitive Equilibria and Sustainable Growth in a Life–Cycle Model with Natural Resources.” Scandinavian Journal of Economics 93 (4): 585–591.10.2307/3440232Suche in Google Scholar

Schtickzelle, M., and P. F. Verhulst. 1981. “La première découverte de la Function Logistique.” Population 3: 541–556.10.2307/1532620Suche in Google Scholar

Seegmuller, T., and A. Verchère. 2007. “A Note on Indeterminacy in Overlapping Generations Economies with Environment and Endogenous Labor Supply.” Macroeconomic Dynamics 11: 423–429.Suche in Google Scholar

Smith, J. M. 1974. Models in Ecology. Cambridge: Cambridge University Press.Suche in Google Scholar

Valente, Simone. 2008. “Sustainable Development, Renewable Resources and Technological Progress.” Environmental and Resource Economics 30: 115–125.10.1007/s10640-004-2377-3Suche in Google Scholar

Wen, G., D. Xu, and X. Han. 2002. “On Creation of Hopf Bifurcations in Discrete-Time Nonlinear Systems.” Chaos 12 (2): 350–355.10.1063/1.1480915Suche in Google Scholar PubMed

Willis, R. J. 1987. “Externalities and Population.” In Population Growth and Economic Development: Issues and Evidence, edited by G. Johnson and R. D. Lee, 661–702. Madison, WI: University of Wisconsin Press.Suche in Google Scholar

Yüksel, M. K. 2011. “Capital Dependent Population Growth Induces Cycles.” Chaos, Solitons and Fractals 44: 759–763.10.1016/j.chaos.2011.06.010Suche in Google Scholar