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Endogenous lifetime, accidental bequests and economic growth

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  • Fanti, Luciano
  • Gori, Luca
  • Tramontana, Fabio

Abstract

his paper introduces unintentional bequests in a closed economy overlapping generations model à la Chakraborty (2004). We show that poverty traps due to scarce public investments in health can exist. However, and most important, the existence of unintentional bequests makes the health tax rate to play a prominent role in determining the stability conditions of the equilibrium in rich economies. Indeed, non-monotonic dynamics, Neimark-Sacker bifurcations and deterministic chaos can occur depending on the size of the public health system.

Suggested Citation

  • Fanti, Luciano & Gori, Luca & Tramontana, Fabio, 2011. "Endogenous lifetime, accidental bequests and economic growth," MPRA Paper 34647, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:34647
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    1. Mikhail Golosov & Larry E. Jones & Michèle Tertilt, 2007. "Efficiency with Endogenous Population Growth," Econometrica, Econometric Society, vol. 75(4), pages 1039-1071, July.
    2. Oded Galor & Omer Moav, 2000. "Natural Selection and the Origin of economic Growth," Working Papers 2000-18, Brown University, Department of Economics.
    3. Kraay, Aart & Raddatz, Claudio, 2007. "Poverty traps, aid, and growth," Journal of Development Economics, Elsevier, vol. 82(2), pages 315-347, March.
    4. 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.
    5. de la Croix, David & Licandro, Omar, 1999. "Life expectancy and endogenous growth," Economics Letters, Elsevier, vol. 65(2), pages 255-263, November.
    6. 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.
    7. 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, February.
    8. de la Croix, David & Ponthiere, Gregory, 2010. "On the Golden Rule of capital accumulation under endogenous longevity," Mathematical Social Sciences, Elsevier, vol. 59(2), pages 227-238, March.
    9. Shankha Chakraborty & Mausumi Das, 2005. "Mortality, Human Capital and Persistent Inequality," Journal of Economic Growth, Springer, vol. 10(2), pages 159-192, June.
    10. Oded_Galor, 2004. "From Stagnation to Growth:Unified Growth Theory," Working Papers 2004-15, Brown University, Department of Economics.
    11. Michel, Philippe & de la Croix, David, 2000. "Myopic and perfect foresight in the OLG model," Economics Letters, Elsevier, vol. 67(1), pages 53-60, April.
    12. Luciano Fanti & Luca Gori, 2012. "Endogenous Lifetime in an Overlapping-Generations Small Open Economy," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 68(2), pages 121-152, June.
    13. Oded Galor & Omer Moav, 2002. "Natural Selection and the Origin of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 117(4), pages 1133-1191.
    14. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    15. Bhattacharya, Joydeep & Qiao, Xue, 2005. "Public and Private Expenditures on Health in a Growth Model," Staff General Research Papers Archive 12378, Iowa State University, Department of Economics.
    16. Pierre Pestieau & Gregory Ponthiere & Motohiro Sato, 2008. "Longevity, Health Spending, and Pay-as-you-Go Pensions," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 64(1), pages 1-18, March.
    17. Oded Galor, 2011. "Unified Growth Theory and Comparative Development," Rivista di Politica Economica, SIPI Spa, issue 2, pages 9-21, April-Jun.
    18. Omer Moav, 2005. "Cheap Children and the Persistence of Poverty," Economic Journal, Royal Economic Society, vol. 115(500), pages 88-110, January.
    19. Tamara Fioroni, 2010. "Optimal savings and health spending over the life cycle," The European Journal of Health Economics, Springer;Deutsche Gesellschaft für Gesundheitsökonomie (DGGÖ), vol. 11(4), pages 355-365, August.
    20. 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.
    21. de la Croix, David & Doepke, Matthias, 2004. "Public versus private education when differential fertility matters," Journal of Development Economics, Elsevier, vol. 73(2), pages 607-629, April.
    22. M. R. Rosenzweig & Stark, O. (ed.), 1997. "Handbook of Population and Family Economics," Handbook of Population and Family Economics, Elsevier, edition 1, volume 1, number 1.
    23. Medio,Alfredo & Gallo,Giampaolo, 1995. "Chaotic Dynamics," Cambridge Books, Cambridge University Press, number 9780521484619.
    24. Helle Bunzel & Xue Qiao, 2005. "Endogenous lifetime and economic growth revisited," Economics Bulletin, AccessEcon, vol. 15(8), pages 1-8.
    25. David de la Croix & Matthias Doepke, 2003. "Inequality and Growth: Why Differential Fertility Matters," American Economic Review, American Economic Association, vol. 93(4), pages 1091-1113, September.
    26. Luciano Fanti & Luca Gori, 2012. "Fertility and PAYG pensions in the overlapping generations model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(3), pages 955-961, July.
    27. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151.
    28. Oded Galor and David N. Weil, 1998. "From Malthusian Stagnation to Modern Growth," Working Papers 98-26, Brown University, Department of Economics.
    29. Altonji, Joseph G & Hayashi, Fumio & Kotlikoff, Laurence J, 1997. "Parental Altruism and Inter Vivos Transfers: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1121-1166, December.
    30. Galor, Oded, 2005. "From Stagnation to Growth: Unified Growth Theory," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 4, pages 171-293, Elsevier.
    31. 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.
    32. Gary S. Becker & Robert J. Barro, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(1), pages 1-25.
    33. Fogel, Robert W, 1994. "Economic Growth, Population Theory, and Physiology: The Bearing of Long-Term Processes on the Making of Economic Policy," American Economic Review, American Economic Association, vol. 84(3), pages 369-395, June.
    34. Alessandro Cigno & Martin Werding, 2007. "Children and Pensions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033690, December.
    35. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    36. Luciano Fanti & Luca Gori, 2014. "Endogenous fertility, endogenous lifetime and economic growth: the role of child policies," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(2), pages 529-564, April.
    37. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
    38. Dimitrios Varvarigos & Intan Zakaria, 2013. "Endogenous fertility in a growth model with public and private health expenditures," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(1), pages 67-85, January.
    39. 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, February.
    40. 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.
    41. Barro, Robert J & Becker, Gary S, 1989. "Fertility Choice in a Model of Economic Growth," Econometrica, Econometric Society, vol. 57(2), pages 481-501, March.
    42. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    43. Alessandro Cigno, 2007. "Low fertility in Europe: Is the pension system the victim or the culprit? Introduction by Alessandro Cigno," CESifo Forum, ifo Institute - Leibniz Institute for Economic Research at the University of Munich, vol. 8(03), pages 37-42, October.
    44. David N. Weil & Oded Galor, 1999. "From Malthusian Stagnation to Modern Growth," American Economic Review, American Economic Association, vol. 89(2), pages 150-154, May.
    45. 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.
    46. Tito Boeri & Axel Börsch-Supan & Guido Tabellini, 2001. "Would you like to shrink the welfare state? A survey of European citizens," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 16(32), pages 08-50.
    47. 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.
    48. Hubbard, R Glenn & Judd, Kenneth L, 1987. "Social Security and Individual Welfare: Precautionary Saving, Borrowing Constraints, and the Payroll Tax," American Economic Review, American Economic Association, vol. 77(4), pages 630-646, September.
    49. Tito Boeri & Axel Boersch-Supan & Guido Tabellini, 2002. "Pension Reforms and the Opinions of European Citizens," American Economic Review, American Economic Association, vol. 92(2), pages 396-401, May.
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    More about this item

    Keywords

    Accidental bequests; Endogenous lifetime; Health; OLG model;
    All these keywords.

    JEL classification:

    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • J18 - Labor and Demographic Economics - - Demographic Economics - - - Public Policy
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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