IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/34647.html
   My bibliography  Save this paper

Endogenous lifetime, accidental bequests and economic growth

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/34647/1/MPRA_paper_34647.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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, 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.
    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. 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.
    8. Shankha Chakraborty & Mausumi Das, 2005. "Mortality, Human Capital and Persistent Inequality," Journal of Economic Growth, Springer, vol. 10(2), pages 159-192, June.
    9. 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.
    10. 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.
    11. 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.
    12. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    13. 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.
    14. 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.
    15. Oded Galor, 2011. "Unified Growth Theory and Comparative Development," Rivista di Politica Economica, SIPI Spa, issue 2, pages 9-21, April-Jun.
    16. Omer Moav, 2005. "Cheap Children and the Persistence of Poverty," Economic Journal, Royal Economic Society, vol. 115(500), pages 88-110, January.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. Medio,Alfredo & Gallo,Giampaolo, 1995. "Chaotic Dynamics," Cambridge Books, Cambridge University Press, number 9780521484619, October.
    22. Helle Bunzel & Xue Qiao, 2005. "Endogenous lifetime and economic growth revisited," Economics Bulletin, AccessEcon, vol. 15(8), pages 1-8.
    23. 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.
    24. 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.
    25. de la Croix,David & Michel,Philippe, 2002. "A Theory of Economic Growth," Cambridge Books, Cambridge University Press, number 9780521001151, October.
    26. 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.
    27. 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.
    28. 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.
    29. 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.
    30. 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.
    31. Alessandro Cigno & Martin Werding, 2007. "Children and Pensions," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033690, April.
    32. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    33. 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.
    34. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-791, September.
    35. 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.
    36. 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.
    37. 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.
    38. 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.
    39. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    40. 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.
    41. 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.
    42. 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.
    43. 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.
    44. 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.
    45. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Luciano Fanti & Luca Gori, 2012. "Public Expenditure on Health and Private Old-Age Insurance in an OLG Growth Model with Endogenous Fertility: Chaotic Dynamics Under Perfect Foresight," Computational Economics, Springer;Society for Computational Economics, vol. 40(4), pages 333-353, December.
    3. Gori, Luca & Sodini, Mauro, 2020. "Endogenous labour supply, endogenous lifetime and economic development," Structural Change and Economic Dynamics, Elsevier, vol. 52(C), pages 238-259.
    4. Fanti, Luciano & Gori, Luca, 2012. "PAYG pensions, tax-cum-subsidy and A-Pareto efficiency," Research in Economics, Elsevier, vol. 66(1), pages 65-71.
    5. Pierre Pestieau & Gregory Ponthiere, 2012. "The Public Economics of Increasing Longevity," Hacienda Pública Española / Review of Public Economics, IEF, vol. 200(1), pages 41-74, March.
    6. David de la Croix & Omar Licandro, 2013. "The Child is Father Of the Man: Implications for the Demographic Transition," Economic Journal, Royal Economic Society, vol. 123(567), pages 236-261, March.
    7. Paolo Melindi-Ghidi & Willem Sas, 2015. "Invest as you go: how public health investment keeps pension systems healthy," Working Papers of Department of Economics, Leuven 502095, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
    8. Luca GORI & Enrico LUPI & Piero MANFREDI & Mauro SODINI, 2020. "A Contribution to the Theory of Economic Development and the Demographic Transition: Fertility Reversal under the HIV Epidemic," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 86(2), pages 125-155, June.
    9. Daishin Yasui, 2012. "Adult Longevity and Growth Takeoff," Discussion Papers 1218, Graduate School of Economics, Kobe University.
    10. Gori, Luca & Sodini, Mauro, 2021. "A Contribution To The Theory Of Fertility And Economic Development," Macroeconomic Dynamics, Cambridge University Press, vol. 25(3), pages 753-775, April.
    11. Larry E. Jones & Alice Schoonbroodt & Michèle Tertilt, 2010. "Fertility Theories: Can They Explain the Negative Fertility-Income Relationship?," NBER Chapters, in: Demography and the Economy, pages 43-100, National Bureau of Economic Research, Inc.
    12. Ponthiere, Gregory, 2011. "Existence and stability of overconsumption equilibria," Economic Modelling, Elsevier, vol. 28(1), pages 74-90.
    13. Fanti, Luciano & Gori, Luca, 2011. "Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1), pages 137-151.
    14. Luciano Fanti, 2009. "Longevity, fertility and Demographic Transition in an OLG model," Economics Bulletin, AccessEcon, vol. 29(1), pages 347-356.
    15. Luciano Fanti & Luca Gori, 2013. "Fertility-related pensions and cyclical instability," Journal of Population Economics, Springer;European Society for Population Economics, vol. 26(3), pages 1209-1232, July.
    16. Strulik, Holger, 2008. "Geography, health, and the pace of demo-economic development," Journal of Development Economics, Elsevier, vol. 86(1), pages 61-75, April.
    17. Wei-Bin Zhang, 2014. "Endogenous population with human and physical capital accumulation," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 61(3), pages 231-252, September.
    18. Bloom, David E. & Canning, David & Kotschy, Rainer & Prettner, Klaus & Schünemann, Johannes, 2024. "Health and economic growth: Reconciling the micro and macro evidence," World Development, Elsevier, vol. 178(C).
    19. Sunde, Uwe & Cervellati, Matteo, 2007. "Human Capital, Mortality and Fertility: A Unified Theory of the Economic and Demographic Transition," CEPR Discussion Papers 6384, C.E.P.R. Discussion Papers.
    20. Thibault, Emmanuel & Ponthieres, Grégory, 2023. "Life Expectancy, Income and Long-Term Care: The Preston Curve Reexamined," TSE Working Papers 23-1474, Toulouse School of Economics (TSE).

    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

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:34647. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.