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Public health spending, old-age productivity and economic growth: Chaotic cycles under perfect foresight

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  • Fanti, Luciano
  • Gori, Luca

Abstract

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 perfectly foresighted. Interestingly, (i) the equilibrium dynamics shows rather complicated phenomena such as a multiplicity of bubblings depending on the size of the public health system, and (ii) the higher the degree of thriftiness, the likelier an economy is exposed to endogenous fluctuations because the need to save when young to support consumption when old is reduced.

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  • 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(1-2), pages 137-151, April.
    • Handle: RePEc:eee:jeborg:v:78:y:2011:i:1-2:p:137-151
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    3. Kontogiannis, Nikolaos & Litina, Anastasia & Varvarigos, Dimitrios, 2019. "Occupation-induced status, social norms, and economic growth," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 348-360.
    4. Xiao, Bowen & Fan, Ying & Guo, Xiaodan & Xiang, Lin, 2022. "Re-evaluating environmental tax: An intergenerational perspective on health, education and retirement," Energy Economics, Elsevier, vol. 110(C).
    5. Giorgio Fabbri & Marie-Louise Leroux & Paolo Melindi-Ghidi & Willem Sas, 2024. "Conditioning public pensions on health: effects on capital accumulation and welfare," Journal of Population Economics, Springer;European Society for Population Economics, vol. 37(2), pages 1-21, June.
    6. 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.
    7. 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.
    8. Cavalli, F. & Chen, H.-J. & Li, M.-C. & Naimzada, A. & Pecora, N., 2023. "Heterogeneous expectations and equilibria selection in an evolutionary overlapping generations model," Journal of Mathematical Economics, Elsevier, vol. 104(C).
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    10. Makoto Hirono, 2020. "Transitional dynamics of the R&D growth model with public education," Metroeconomica, Wiley Blackwell, vol. 71(4), pages 662-675, November.
    11. Pablo Garcia Sanchez & Luca Marchiori & Olivier Pierrard, 2024. "Healthy aging and capital accumulation," BCL working papers 189, Central Bank of Luxembourg.
    12. Luca Marchiori & Olivier Pierrard, 2023. "Health subsidies, prevention and welfare," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 25(6), pages 1304-1336, December.
    13. Wei-Bin, ZHANG, 2015. "Economic Oscillations With Endogenous Population, Human Capital And Wealth," Annals of Spiru Haret University, Economic Series, Universitatea Spiru Haret, vol. 6(2), pages 9-26.
    14. Srivastava, Nikhil & Tripe, David & Yuen, Mui Kuen, 2023. "Healthcare expenditure and bank deposits," Finance Research Letters, Elsevier, vol. 58(PC).
    15. Fu, Min & Gu, Liqin & Zhen, Zaili & Sun, Mei & Tian, Lixin, 2020. "Optimal carbon tax income distribution and health welfare spillover effect based on health factors," Applied Energy, Elsevier, vol. 276(C).
    16. Cao Dong & Wang Lin & Wang Shouyang, 2017. "Fold Bifurcation Caused by Pollution Emission in an OLG Economy," Journal of Systems Science and Information, De Gruyter, vol. 5(4), pages 302-309, August.
    17. Dimitrios Varvarigos, 2013. "Endogenous Cycles and Human Capital," Discussion Papers in Economics 13/18, Division of Economics, School of Business, University of Leicester.
    18. 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.

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    More about this item

    Keywords

    Old-age labour productivity OLG model Perfect foresight Public health expenditure;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • I18 - Health, Education, and Welfare - - Health - - - Government Policy; Regulation; Public Health
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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