IDEAS home Printed from https://ideas.repec.org/a/kap/compec/v38y2011i3p261-275.html
   My bibliography  Save this article

Nonlinear Dynamics in an OLG Growth Model with Young and Old Age Labour Supply: The Role of Public Health Expenditure

Author

Listed:
  • Luca Gori
  • Mauro Sodini

Abstract

This paper analyses the dynamics of a two-dimensional overlapping generations model with young and old age labour supply. It is shown that the public provision of health investments, which, in turn, affects the demand for material consumption, may represent a source of local indeterminacy, nonlinear dynamics and multiplicity of equilibria. Furthermore, global indeterminacy may also occur because of the co-existence of two attractors with tangled basins of attraction.
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • 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, Springer;Society for Computational Economics, vol. 38(3), pages 261-275, October.
    • Handle: RePEc:kap:compec:v:38:y:2011:i:3:p:261-275
    DOI: 10.1007/s10614-011-9283-x
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10614-011-9283-x
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s10614-011-9283-x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kraay, Aart & Raddatz, Claudio, 2007. "Poverty traps, aid, and growth," Journal of Development Economics, Elsevier, vol. 82(2), pages 315-347, March.
    2. Hartwig, Jochen, 2008. "What drives health care expenditure?--Baumol's model of 'unbalanced growth' revisited," Journal of Health Economics, Elsevier, vol. 27(3), pages 603-623, May.
    3. Antoci, Angelo & Galeotti, Marcello & Russu, Paolo, 2011. "Poverty trap and global indeterminacy in a growth model with open-access natural resources," Journal of Economic Theory, Elsevier, vol. 146(2), pages 569-591, March.
    4. Potrafke, Niklas, 2010. "The growth of public health expenditures in OECD countries: Do government ideology and electoral motives matter?," Journal of Health Economics, Elsevier, vol. 29(6), pages 797-810, December.
    5. Duranton, Gilles, 2001. "Endogenous labor supply, growth and overlapping generations," Journal of Economic Behavior & Organization, Elsevier, vol. 44(3), pages 295-314, March.
    6. Antoci, Angelo & Sodini, Mauro, 2009. "Indeterminacy, bifurcations and chaos in an overlapping generations model with negative environmental externalities," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1439-1450.
    7. Philippe Michel & Pierre Pestieau, 2013. "Social Security And Early Retirement In An Overlapping-Generations Growth Model," Annals of Economics and Finance, Society for AEF, vol. 14(2), pages 723-737, November.
    8. Grandmont, Jean-Michel, 1985. "On Endogenous Competitive Business Cycles," Econometrica, Econometric Society, vol. 53(5), pages 995-1045, September.
    9. Orlando Gomes, 2008. "Decentralized Allocation of Human Capital and Nonlinear Growth," Computational Economics, Springer;Society for Computational Economics, vol. 31(1), pages 45-75, February.
    10. Douglas Gollin, 2002. "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.
    11. 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.
    12. C. Nourry & A. Venditti, 2006. "Overlapping Generations Model with Endogenous Labor Supply: General Formulation," Journal of Optimization Theory and Applications, Springer, vol. 128(2), pages 355-377, February.
    13. Viscusi, W Kip & Evans, William N, 1990. "Utility Functions That Depend on Health Status: Estimates and Economic Implications," American Economic Review, American Economic Association, vol. 80(3), pages 353-374, June.
    14. 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.
    15. Antonio Ladrón-de-Guevara & Salvador Ortigueira & Manuel S. Santos, 1999. "A Two-Sector Model of Endogenous Growth with Leisure," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(3), pages 609-631.
    16. Nourry, Carine, 2001. "Stability of equilibria in the overlapping generations model with endogenous labor supply," Journal of Economic Dynamics and Control, Elsevier, vol. 25(10), pages 1647-1663, October.
    17. Baltagi, Badi H. & Moscone, Francesco, 2010. "Health care expenditure and income in the OECD reconsidered: Evidence from panel data," Economic Modelling, Elsevier, vol. 27(4), pages 804-811, July.
    18. Heijdra, Ben J. & Romp, Ward E., 2009. "Retirement, pensions, and ageing," Journal of Public Economics, Elsevier, vol. 93(3-4), pages 586-604, April.
    19. Farmer, Roger E. A., 1986. "Deficits and cycles," Journal of Economic Theory, Elsevier, vol. 40(1), pages 77-88, October.
    20. Yokoo, Masanori, 2000. "Chaotic dynamics in a two-dimensional overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 909-934, June.
    21. Bloom, David E. & Canning, David & Mansfield, Richard K. & Moore, Michael, 2007. "Demographic change, social security systems, and savings," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 92-114, January.
    22. Salvador Ortigueira, 2000. "A dynamic analysis of an endogenous growth model with leisure," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 16(1), pages 43-62.
    23. Robert E. Hall & Charles I. Jones, 2007. "The Value of Life and the Rise in Health Spending," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(1), pages 39-72.
    24. Domeij David & Johannesson Magnus, 2006. "Consumption and Health," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-30, May.
    25. Reichlin, Pietro, 1986. "Equilibrium cycles in an overlapping generations economy with production," Journal of Economic Theory, Elsevier, vol. 40(1), pages 89-102, October.
    26. Cremer, Helmuth & Lozachmeur, Jean-Marie & Pestieau, Pierre, 2004. "Social security, retirement age and optimal income taxation," Journal of Public Economics, Elsevier, vol. 88(11), pages 2259-2281, September.
    27. Rosa Aísa & Fernando Pueyo & Marcos Sanso, 2012. "Life expectancy and labor supply of the elderly," Journal of Population Economics, Springer;European Society for Population Economics, vol. 25(2), pages 545-568, January.
    28. Cazzavillan, Guido, 2001. "Indeterminacy and Endogenous Fluctuations with Arbitrarily Small Externalities," Journal of Economic Theory, Elsevier, vol. 101(1), pages 133-157, November.
    29. Laitner, John, 2007. "Comment on: David Bloom, David Canning, Rick Mansfield, and Michael Moore's "Demographic change, social security systems, and savings"," Journal of Monetary Economics, Elsevier, vol. 54(1), pages 115-117, January.
    30. 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.
    31. Galor, Oded & Weil, David N, 1996. "The Gender Gap, Fertility, and Growth," American Economic Review, American Economic Association, vol. 86(3), pages 374-387, June.
    32. Charles I. Jones, 2005. "The Shape of Production Functions and the Direction of Technical Change," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 120(2), pages 517-549.
    33. Gaumont, D. & Leonard, D., 2010. "Human capital, externalities and growth in an overlapping generations model," Research in Economics, Elsevier, vol. 64(3), pages 186-200, September.
    34. Frances Cairncross, 2007. "Age, health and wealth," Nature, Nature, vol. 448(7156), pages 875-876, August.
    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. Kiminori Matsuyama, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(2), pages 617-650.
    37. Sloan, Frank A. & Kip Viscusi, W. & Chesson, Harrell W. & Conover, Christopher J. & Whetten-Goldstein, Kathryn, 1998. "Alternative approaches to valuing intangible health losses: the evidence for multiple sclerosis1," Journal of Health Economics, Elsevier, vol. 17(4), pages 475-497, August.
    38. de Vilder, Robin, 1996. "Complicated Endogenous Business Cycles under Gross Substitutability," Journal of Economic Theory, Elsevier, vol. 71(2), pages 416-442, November.
    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. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    41. Chakraborty, Shankha, 2004. "Endogenous lifetime and economic growth," Journal of Economic Theory, Elsevier, vol. 116(1), pages 119-137, May.
    42. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
    43. Bertrand Crettez & Patricia Le Maitre, 2002. "Optimal age of retirement and population growth," Journal of Population Economics, Springer;European Society for Population Economics, vol. 15(4), pages 737-755.
    44. Cazzavillan, Guido & Lloyd-Braga, Teresa & Pintus, Patrick A., 1998. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Journal of Economic Theory, Elsevier, vol. 80(1), pages 60-107, May.
    45. David Blake & Les Mayhew, 2006. "On The Sustainability of the UK State Pension System in the Light of Population Ageing and Declining Fertility," Economic Journal, Royal Economic Society, vol. 116(512), pages 286-305, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, 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. Stefania Basiglio & Noemi Oggero, 2020. "The Effects of Pension Information on Individuals’ Economic Outcomes: A Survey," Economies, MDPI, vol. 8(3), pages 1-16, August.
    4. Chunzheng Cao & Yahui Wang & Jian Qing Shi & Jinguan Lin, 2018. "Measurement Error Models for Replicated Data Under Asymmetric Heavy-Tailed Distributions," Computational Economics, Springer;Society for Computational Economics, vol. 52(2), pages 531-553, August.

    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. Potrafke, Niklas, 2010. "The growth of public health expenditures in OECD countries: Do government ideology and electoral motives matter?," Journal of Health Economics, Elsevier, vol. 29(6), pages 797-810, December.
    2. Luca Gori & Mauro Sodini, 2014. "Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 159-179, April.
    3. 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.
    4. 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.
    5. 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.
    6. Fanti, Luciano & Gori, Luca, 2010. "Public expenditure on health and private old-age insurance in an OLG growth model with endogenous fertility: chaotic cycles under perfect foresight," MPRA Paper 23697, University Library of Munich, Germany.
    7. Luciano Fanti & Luca Gori & Fabio Tramontana, 2014. "Endogenous lifetime, accidental bequests and economic growth," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(1), pages 81-98, April.
    8. 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.
    9. Guido Cazzavillan & Patrick A. Pintus, 2006. "Endogenous business cycles and dynamic inefficiency," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3‐4), pages 279-294, September.
    10. Maik T. Schneider & Ralph Winkler, 2021. "Growth and Welfare under Endogenous Lifetimes," Scandinavian Journal of Economics, Wiley Blackwell, vol. 123(4), pages 1339-1384, October.
    11. Cazzavillan, Guido & Lloyd-Braga, Teresa & Pintus, Patrick A., 1998. "Multiple Steady States and Endogenous Fluctuations with Increasing Returns to Scale in Production," Journal of Economic Theory, Elsevier, vol. 80(1), pages 60-107, May.
    12. 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.
    13. Hashimoto, Ken-ichi & Im, Ryonghun & Kunieda, Takuma & Shibata, Akihisa, 2022. "Financial destabilization," Journal of Mathematical Economics, Elsevier, vol. 103(C).
    14. P. Pintus, 2000. "Indeterminacy and Expectations-Driven Fluctuations when Factor Utilization is Variable," THEMA Working Papers 2000-33, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise.
    15. Luciano Fanti & Luca Gori, 2010. "A two-sector overlapping generations economy: economic growth and multiple equilibria," Discussion Papers 2010/100, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
    16. Seegmuller, Thomas, 2008. "Taste For Variety And Endogenous Fluctuations In A Monopolistic Competition Model," Macroeconomic Dynamics, Cambridge University Press, vol. 12(4), pages 561-577, September.
    17. Lloyd-Braga, Teresa & Nourry, Carine & Venditti, Alain, 2007. "Indeterminacy in dynamic models: When Diamond meets Ramsey," Journal of Economic Theory, Elsevier, vol. 134(1), pages 513-536, May.
    18. Fanti, Luciano & Gori, Luca, 2010. "Complex equilibrium dynamics in a simple OLG model of neoclassical growth with endogenous retirement age and public pensions," MPRA Paper 23694, University Library of Munich, Germany.
    19. Pintus, Patrick & Sands, Duncan & de Vilder, Robin, 2000. "On the transition from local regular to global irregular fluctuations," Journal of Economic Dynamics and Control, Elsevier, vol. 24(2), pages 247-272, February.
    20. Anna Agliari & George Vachadze, 2011. "Homoclinic and Heteroclinic Bifurcations in an Overlapping Generations Model with Credit Market Imperfection," Computational Economics, Springer;Society for Computational Economics, vol. 38(3), pages 241-260, October.

    More about this item

    Keywords

    Chaos; Labour supply; OLG model; Public health expenditure; C62; C68; I18; J22; O41;
    All these keywords.

    JEL classification:

    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • J22 - Labor and Demographic Economics - - Demand and Supply of Labor - - - Time Allocation and Labor Supply
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

    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:kap:compec:v:38:y:2011:i:3:p:261-275. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.