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Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight

  • Luciano Fanti

    ()

  • Luca Gori

    ()

This study analyses the dynamics of an economy with overlapping generations, endogenous population (fertility and adult mortality), logarithmic preferences and Cobb–Douglas technology. We show that the public provision of health investments and the existence of a private system of old-age insurance (i.e., transfers from children to parents) may cause the birth and death of multiple (three) steady states, deterministic chaos and bubbling phenomena when individuals have perfect foresight. Interestingly, however, we show that periodic dynamics (cycles) or complex dynamics (chaos) and global stability of the economy can endogenously be reconciled in the model, because the rise either in public health investments or transfers from young to old people can have the potential to smooth and ultimately suppress endogenous fluctuations in the cases of existence of both a single steady state or multiple steady states. Copyright Springer Science+Business Media New York 2012

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File URL: http://hdl.handle.net/10.1007/s10614-012-9326-y
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Article provided by Society for Computational Economics in its journal Computational Economics.

Volume (Year): 40 (2012)
Issue (Month): 4 (December)
Pages: 333-353

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Handle: RePEc:kap:compec:v:40:y:2012:i:4:p:333-353
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  1. Oded Galor, 2004. "From Stagnation to Growth: Unified Growth Theory," GE, Growth, Math methods 0409003, EconWPA.
  2. Neher, Philip A, 1971. "Peasants, Procreation, and Pensions," American Economic Review, American Economic Association, vol. 61(3), pages 380-89, June.
  3. Benhabib, J. & Farmer, R.E.A, 1991. "Indeterminacy and Increasing Returns," Papers 165, Cambridge - Risk, Information & Quantity Signals.
  4. Luca Gori & Mauro Sodini, 2011. "Nonlinear Dynamics in an OLG Growth Model with Young and Old Age Labour Supply: The Role of Public Health Expenditure," Computational Economics, Society for Computational Economics, vol. 38(3), pages 261-275, October.
  5. David N. Weil & Oded Galor, 2000. "Population, Technology, and Growth: From Malthusian Stagnation to the Demographic Transition and Beyond," American Economic Review, American Economic Association, vol. 90(4), pages 806-828, September.
  6. David de la CROIX & Pierre PESTIEAU & Gregory PONTHIERE, 2009. "How Powerful is Demography? The Serendipity Theorem Revisited," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2009040, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  7. David De La Croix & Grégory Ponthière, 2008. "On the Golden Rule of capital accumulation under endogenous longevity," PSE Working Papers halshs-00586242, HAL.
  8. Timothy J. Kehoe & David K. Levine, 1990. "The Economics of Indeterminacy in Overlapping Generations Models," Levine's Working Paper Archive 2193, David K. Levine.
  9. Galor, Oded & Weil, David, 1995. "The Gender Gap, Fertility and Growth," CEPR Discussion Papers 1157, C.E.P.R. Discussion Papers.
  10. Oded Galor, 2010. "The 2008 Lawrence R. Klein Lecture-Comparative Economic Development: Insights From Unified Growth Theory," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(1), pages 1-44, 02.
  11. Benhabib, Jess & Farmer, Roger E.A., 1999. "Indeterminacy and sunspots in macroeconomics," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 6, pages 387-448 Elsevier.
  12. Dirk Niepelt & Martín Gonzalez-Eiras, 2011. "Ageing, Government Budgets, Retirement, and Growth," Working Papers 11.06, Swiss National Bank, Study Center Gerzensee.
  13. Benhabib, Jess & Wen, Yi, 2004. "Indeterminacy, aggregate demand, and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 503-530, April.
  14. repec:cup:cbooks:9780521004886 is not listed on IDEAS
  15. Jensen, Eric R, 1990. "An Econometric Analysis of the Old-Age Security Motive for Childbearing," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 953-68, November.
  16. Michel, Philippe & de la Croix, David, 1999. "Myopic and perfect foresight in the OLG model," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1999014, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
  17. Chakraborty, Shankha & Papageorgiou, Chris & Pérez Sebastián, Fidel, 2010. "Diseases, infection dynamics, and development," Journal of Monetary Economics, Elsevier, vol. 57(7), pages 859-872, October.
  18. repec:cup:cbooks:9780521001151 is not listed on IDEAS
  19. Bhattacharya, Joydeep & Qiao, Xue, 2005. "Public and Private Expenditures on Health in a Growth Model," Staff General Research Papers 12378, Iowa State University, Department of Economics.
  20. Berthold U. Wigger, 1999. "Pay-as-you-go financed public pensions in a model of endogenous growth and fertility," Journal of Population Economics, Springer, vol. 12(4), pages 625-640.
  21. Junxi Zhang, 1999. "Environmental sustainability, nonlinear dynamics and chaos," Economic Theory, Springer, vol. 14(2), pages 489-500.
  22. Grandmont, Jean-Michel & Pintus, Patrick & de Vilder, Robin, 1998. "Capital-Labor Substitution and Competitive Nonlinear Endogenous Business Cycles," Journal of Economic Theory, Elsevier, vol. 80(1), pages 14-59, May.
  23. Galor, Oded & Ryder, Harl E., 1989. "Existence, uniqueness, and stability of equilibrium in an overlapping-generations model with productive capital," Journal of Economic Theory, Elsevier, vol. 49(2), pages 360-375, December.
  24. Luciano Fanti & Luca Spataro, 2007. "Poverty traps and intergenerational transfers," Discussion Papers 2007/66, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  25. Bental, Benjamin, 1989. "The Old Age Security Hypothesis and Optimal Population Growth," Journal of Population Economics, Springer, vol. 1(4), pages 285-301.
  26. David, DE LA CROIX, 2008. "On the Golden Rule of capital accumulation under endogenous longevity," Discussion Papers (ECON - Département des Sciences Economiques) 2008032, Université catholique de Louvain, Département des Sciences Economiques.
  27. Junsen Zhang & Junxi Zhang, 1998. "Social Security, Intergenerational Transfers, and Endogenous Growth," Canadian Journal of Economics, Canadian Economics Association, vol. 31(5), pages 1225-1241, November.
  28. Tamara Fioroni, 2010. "Optimal savings and health spending over the life cycle," The European Journal of Health Economics, Springer, vol. 11(4), pages 355-365, August.
  29. Shankha Chakraborty, 2002. "Endogenous Lifetime and Economic Growth," University of Oregon Economics Department Working Papers 2002-03, University of Oregon Economics Department, revised 26 Jan 2002.
  30. Dahan, M & Tsiddon, D, 1996. "Demographic Transition, Income Distribution and Economic Growth," Papers 42-96, Tel Aviv - the Sackler Institute of Economic Studies.
  31. Chen, Hung-Ju & Li, Ming-Chia & Lin, Yung-Ju, 2008. "Chaotic dynamics in an overlapping generations model with myopic and adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 48-56, July.
  32. Douglas Gollin, 2001. "Getting Income Shares Right," Department of Economics Working Papers 2001-11, Department of Economics, Williams College.
  33. Antoci, Angelo & Sodini, Mauro, 2009. "Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities," MPRA Paper 13750, University Library of Munich, Germany.
  34. Zhang, Jie & Zhang, Junsen & Lee, Ronald, 2003. "Rising longevity, education, savings, and growth," Journal of Development Economics, Elsevier, vol. 70(1), pages 83-101, February.
  35. Matteo Cervellati & Uwe Sunde, 2011. "Life expectancy and economic growth: the role of the demographic transition," Journal of Economic Growth, Springer, vol. 16(2), pages 99-133, June.
  36. Raut, L K & Srinivasan, T N, 1994. "Dynamics of Endogenous Growth," Economic Theory, Springer, vol. 4(5), pages 777-90, August.
  37. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
  38. Morand, Olivier F, 1999. " Endogenous Fertility, Income Distribution, and Growth," Journal of Economic Growth, Springer, vol. 4(3), pages 331-49, September.
  39. Luciano Fanti & Luca Gori, 2009. "Endogenous lifetime in an overlapping generations small open economy," Discussion Papers 2009/92, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
  40. van Groezen, Bas & Leers, Theo & Meijdam, Lex, 2003. "Social security and endogenous fertility: pensions and child allowances as siamese twins," Journal of Public Economics, Elsevier, vol. 87(2), pages 233-251, February.
  41. Cervellati, Matteo & Sunde, Uwe, 2011. "Life expectancy and economic growth: The role of the demographic transition," Munich Reprints in Economics 20078, University of Munich, Department of Economics.
  42. Fanti, Luciano & Gori, Luca, 2010. "Child policy solutions for the unemployment problem," Economics Letters, Elsevier, vol. 109(3), pages 147-149, December.
  43. Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
  44. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-91, September.
  45. Rupa Chakrabarti, 1999. "Endogenous fertility and growth in a model with old age support," Economic Theory, Springer, vol. 13(2), pages 393-416.
  46. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
  47. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
  48. Bas Groezen & Lex Meijdam, 2008. "Growing old and staying young: population policy in an ageing closed economy," Journal of Population Economics, Springer, vol. 21(3), pages 573-588, July.
  49. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
  50. Eckstein, Zvi & Stern, Steven & Wolpin, Kenneth I, 1988. "Fertility Choice, Land, and the Malthusian Hypothesis," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(2), pages 353-61, May.
  51. Matteo Cervellati & Uwe Sunde, 2005. "Human Capital Formation, Life Expectancy, and the Process of Development," American Economic Review, American Economic Association, vol. 95(5), pages 1653-1672, December.
  52. Zhang, Junsen & Zhang, Jie & Lee, Ronald, 2001. "Mortality decline and long-run economic growth," Journal of Public Economics, Elsevier, vol. 80(3), pages 485-507, June.
  53. Katz, Eliakim & Stark, Oded, 1986. "On fertility, migration and remittances in LDCs," World Development, Elsevier, vol. 14(1), pages 133-135, January.
  54. Michael C.M. Leung & Yong Wang, 2010. "Endogenous Health Care, Life Expectancy And Economic Growth," Pacific Economic Review, Wiley Blackwell, vol. 15(1), pages 11-31, 02.
  55. Ehrlich, Isaac, 2000. "Uncertain lifetime, life protection, and the value of life saving," Journal of Health Economics, Elsevier, vol. 19(3), pages 341-367, May.
  56. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
  57. Ehrlich, Isaac & Lui, Francis T, 1991. "Intergenerational Trade, Longevity, and Economic Growth," Journal of Political Economy, University of Chicago Press, vol. 99(5), pages 1029-59, October.
  58. Fanti, Luciano & Gori, Luca, 2009. "Population and neoclassical economic growth: A new child policy perspective," Economics Letters, Elsevier, vol. 104(1), pages 27-30, July.
  59. Blackburn, Keith & Cipriani, Giam Pietro, 2002. "A model of longevity, fertility and growth," Journal of Economic Dynamics and Control, Elsevier, vol. 26(2), pages 187-204, February.
  60. repec:cup:cbooks:9780521808781 is not listed on IDEAS
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