Fanti, Luciano and Gori, Luca (2010): Public health spending, old-age productivity and economic growth: chaotic cycles under perfect foresight.
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This paper analyses the dynamics of a double Cobb-Douglas economy with overlapping generations and public health investments that affect the supply of efficient labour of the old-aged. It is shown that the positive steady state of the economy is unique. Moreover, we provide necessary and sufficient conditions for the emergence of endogenous deterministic complex cycles when individuals are perfect foresighted. Interestingly, the equilibrium dynamics shows rather complicated phenomena such as a multiplicity of period-bubbling.
|Item Type:||MPRA Paper|
|Original Title:||Public health spending, old-age productivity and economic growth: chaotic cycles under perfect foresight|
|English Title:||Public health spending, old-age productivity and economic growth: chaotic cycles under perfect foresight|
|Keywords:||OLG model; Productivity; Perfect foresight; Public health expenditure|
|Subjects:||O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models
I - Health, Education, and Welfare > I1 - Health > I18 - Government Policy ; Regulation ; Public Health
C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium
|Depositing User:||Luca Gori|
|Date Deposited:||12. Mar 2010 14:19|
|Last Modified:||12. Feb 2013 00:42|
Aloi, M., Dixon, H.D., Lloyd-Braga, T., 2000. Endogenous fluctuations in an open economy with increasing returns to scale. Journal of Economic Dynamics and Control 24, 97–125.
Benhabib, J., Day, R.H., 1982. A characterization of erratic dynamics in the overlapping generations model. Journal of Economic Dynamics and Control 4, 37–55.
Bhattacharya, J., Qiao, X., 2007. Public and private expenditures on health in a growth model. Journal of Economic Dynamics and Control 31, 2519–2535.
Bier, M., Bountis, T.C., 1984. Remerging Feigenbaum trees in dynamical systems. Physical Letters A 104, 239–244.
Blackburn, K., Cipriani, G.P., 2002. A model of longevity, fertility and growth. Journal of Economic Dynamics and Control 26, 187–204.
Blackburn, K., Issa, H., 2002. Endogenous life expectancy in a simple model of growth. Centre for Growth and Business Cycle Research, School of Economic Studies, University of Manchester, Working Paper no. 13, available at http://www.ses.man.ac.uk/cgbcr/discussi.htm.
Cazzavillan, G., 1996. Public spending, endogenous growth, and endogenous fluctuations. Journal of Economic Theory 71, 394–415.
Chakraborty, S., 2004. Endogenous lifetime and economic growth. Journal of Economic Theory 116, 119–137.
Chen, H.J., Li, M.C., Lin, Y.J., 2008, Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations, Journal of Economic Behavior and Organization 67, 48–56.
de la Croix, D., and Michel, P., 2002. A Theory of Economic Growth. Dynamics and Policy in Overlapping Generations. Cambridge University Press, Cambridge.
de la Croix, D., Michel, P., 2007. Education and growth with endogenous debt constraints. Economic Theory 33, 509–530.
de la Croix, D., Ponthiere, G., 2009. On the Golden Rule of capital accumulation under endogenous longevity. Mathematical Social Sciences, doi:10.1016/j.mathsocsci.2009.07.007.
Diamond, P.A., 1965. National debt in a neoclassical growth model. American Economic Review 55, 1126–1150.
Farmer, R.E., 1986. Deficits and cycles. Journal of Economic Theory 40, 77–86.
Galor, O., Ryder, H.E., 1989. Existence, uniqueness, and stability of equilibrium in an overlapping generations model with productive capital. Journal of Economic Theory 49, 360–375.
Global Trade Analysis Project database (GTAP) 2005. Purdue University, https://www.gtap.agecon.purdue.edu/.
Goodwin, R.M., 1967. A growth cycle. In Feinstein, C.H., (Ed.), Socialism, Capitalism and Economic Growth. Cambridge University Press, Cambridge.
Grandmont, J.M., 1985. On endogenous competitive business cycles. Econometrica 53, 995–1045.
Grossman, M., 1972. The demand for health: a theoretical and empirical investigation. NBER Occasional Paper no. 119, Columbia University Press.
Hicks, J.R., 1937. Mr. Keynes and the classics: a suggested interpretation. Econometrica 5, 147–159.
Kehoe, P.J., Perri, F., 2002. International business cycles with endogenous incomplete markets. Econometrica 70, 907–928.
Leung, M.C.M., Wang, Y., 2010. Endogenous health care, life expectancy and economic growth. Pacific Economic Review 15, 11–31.
Li, T.Y., Yorke, J.A., 1975. Period three implies chaos. American Mathematical Monthly 82, 985–992.
Lines M., 2001, The dynamics of capital accumulation in an overlapping generations model, Structural Change and Economic Dynamics 12, 75–89.
Long, J.B., Plosser, C.I., 1983. Real business cycles. Journal of Political Economy 91, 39–69.
Longo, M., Valori, V., 2001. Existence and stability of equilibria in OLG models under adaptive expectations. DiMaD Working Paper (Quaderni del Dipartimento di Matematica per le Decisioni), Università degli Studi di Firenze.
Medio, A., Negroni, G., 1996. Chaotic dynamics in overlapping generations models with production. In Nonlinear Dynamics and Economics, Barnett, W., et al. (Eds.), Cambridge University Press, Cambridge.
Michel, P., de la Croix, D., 2000. Myopic and perfect foresight in the OLG model. Economics Letters 67, 53–60.
Mitra, T., 2001. A sufficient condition for topological chaos with an application to a model of endogenous growth. Journal of Economic Theory 96, 133–152.
Reichlin, P., 1986. Equilibrium cycles in an overlapping generations economy with production. Journal of Economic Theory 40, 89–102.
Stone, L., 1993. Period-doubling reversals and chaos in simple ecological models. Nature 365, 617–620.
Strulik, H., 2004. Economic growth and stagnation with endogenous health and fertility. Journal of Population Economics 17, 433–453.
Strulik, H., 2008. Geography, health, and the pace of demo-economic development. Journal of Development Economics 86, 61–75.
Wagener, A., 2003. Equilibrium dynamics with different types of pay-as-you-go pension schemes. Economics Bulletin 8, 1–12.
Wendner, R., 2003. Existence, uniqueness, and stability of equilibrium in an OLG economy. Economic Theory 23, 165–174.
Yokoo, M., 2000. Chaotic dynamics in a two-dimensional overlapping generations model. Journal of Economic Dynamics and Control 24, 909–934.
Žamac, J., 2007. Pension design when fertility fluctuates: The role of education and capital mobility. Journal of Public Economics 91, 619–639.