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The Dynamics of Inequality and Social Security in General Equilibrium

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  • Song, Zheng
Abstract
This paper analyzes the dynamic politico-economic equilibrium of a model where repeated voting on social security and the evolution of household characteristics in general equilibrium are mutually affected over time. In particular, we incorporate within-cohort heterogeneity in a two-period Overlapping-Generation model to capture the intra-generational redistributive effect of social security transfers. Political decision-making is represented by a probabilistic voting à la Lindbeck and Weibull (1987). We analytically characterize the Markov perfect equilibrium, in which social security tax rates are shown to be increasing in wealth inequality. The dynamic interaction between inequality and social security leads to growing social security programs. We also perform some normative analysis, showing that the politico-economic equilibrium outcomes are fundamentally different from the Ramsey allocation.

Suggested Citation

  • Song, Zheng, 2008. "The Dynamics of Inequality and Social Security in General Equilibrium," MPRA Paper 10365, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:10365
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    Cited by:

    1. Ono, Tetsuo & Uchida, Yuki, 2016. "Pensions, education, and growth: A positive analysis," Journal of Macroeconomics, Elsevier, vol. 48(C), pages 127-143.
    2. Uchida, Yuki & Ono, Tetsuo, 2022. "Politics of Public Education and Pension Reform with Endogenous Fertility," MPRA Paper 112748, University Library of Munich, Germany.
    3. Joanna Tyrowicz & Krzysztof Makarski & Marcin Bielecki, 2018. "Inequality in an OLG economy with heterogeneous cohorts and pension systems," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 16(4), pages 583-606, December.
    4. Wang, Min & Zhao, Jinhua & Bhattacharya, Joydeep, 2015. "Optimal health and environmental policies in a pollution-growth nexus," Journal of Environmental Economics and Management, Elsevier, vol. 71(C), pages 160-179.
    5. Zheng Song & Kjetil Storesletten & Fabrizio Zilibotti, 2012. "Rotten Parents and Disciplined Children: A Politico‐Economic Theory of Public Expenditure and Debt," Econometrica, Econometric Society, vol. 80(6), pages 2785-2803, November.
    6. Tetsuo Ono, 2015. "Public education and social security: a political economy approach," Economics of Governance, Springer, vol. 16(1), pages 1-25, February.
    7. Andreas Bachmann & Kaspar W thrich, 2013. "Evaluating pay-as-you-go social security systems," Diskussionsschriften dp1310, Universitaet Bern, Departement Volkswirtschaft.
    8. Ryo Arawatari & Tetsuo Ono, 2015. "A Political Economy Model of Earnings Mobility and Redistribution Policy," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 17(3), pages 346-382, June.
    9. Ryo Arawatari & Tetsuo Ono, 2011. "A Political Economy Theory of Government Debt and Social Security," Discussion Papers in Economics and Business 11-33, Osaka University, Graduate School of Economics.
    10. Tetsuo Ono, 2014. "Intergenerational Politics, Government Debt and Economic Growth," Discussion Papers in Economics and Business 14-23, Osaka University, Graduate School of Economics.
    11. Katagiri, Mitsuru & Konishi, Hideki & Ueda, Kozo, 2020. "Aging and deflation from a fiscal perspective," Journal of Monetary Economics, Elsevier, vol. 111(C), pages 1-15.
    12. Ryo Arawatari & Tetsuo Ono, 2008. "Aging, Inequality and Social Security," Discussion Papers in Economics and Business 08-19, Osaka University, Graduate School of Economics.
    13. Tetsuo Ono, 2014. "Economic Growth and the Politics of Intergenerational Redistribution," Discussion Papers in Economics and Business 14-17, Osaka University, Graduate School of Economics.
    14. Zheng Song & Kjetil Storesletten & Fabrizio Zilibotti, 2012. "Rotten Parents and Disciplined Children: A Politico‐Economic Theory of Public Expenditure and Debt," Econometrica, Econometric Society, vol. 80(6), pages 2785-2803, November.
    15. Kaiji Chen & Zheng Song, 2014. "Markovian Social Security in Unequal Societies," Scandinavian Journal of Economics, Wiley Blackwell, vol. 116(4), pages 982-1011, October.
    16. Arai, Real & Naito, Katsuyuki & Ono, Tetsuo, 2018. "Intergenerational policies, public debt, and economic growth: A politico-economic analysis," Journal of Public Economics, Elsevier, vol. 166(C), pages 39-52.
    17. Lopez-Velasco, Armando R., 2022. "Social security as Markov equilibrium in OLG models: Clarifications and some new insights," Economics Letters, Elsevier, vol. 217(C).
    18. Joanna Tyrowicz & Krzysztof Makarski & Marcin Bielecki, 2016. "Reforming retirement age in DB and DC pension systems in an aging OLG economy with heterogenous agents," IZA Journal of Labor Policy, Springer;Forschungsinstitut zur Zukunft der Arbeit GmbH (IZA), vol. 5(1), pages 1-36, December.
    19. Kuhle, Wolfgang, 2012. "Dynamic efficiency and the two-part golden rule with heterogeneous agents," Journal of Macroeconomics, Elsevier, vol. 34(4), pages 992-1006.
    20. Ono, Tetsuo, 2019. "Growth, Unemployment, And Fiscal Policy: A Political Economy Analysis," Macroeconomic Dynamics, Cambridge University Press, vol. 23(8), pages 3099-3139, December.
    21. Bishnu, Monisankar & Wang, Min, 2017. "The political intergenerational welfare state," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 93-110.
    22. Arnaud Goussebaïle, 2024. "Democratic Climate Policies with Overlapping Generations," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 87(5), pages 1249-1273, May.
    23. Gustavo de Souza, 2022. "On Political and Economic Determinants of Redistribution: Economic Gains, Ideological Gains, or Institutions?," Working Paper Series WP 2022-47, Federal Reserve Bank of Chicago.
    24. Monisankar Bishnu & Min Wang, 2013. "The Political intergenerational welfare state: A Unified framework," Discussion Papers 13-08, Indian Statistical Institute, Delhi.
    25. Lopez-Velasco, Armando R., 2024. "Markov equilibrium of social security: An analytic solution under CRRA utility and the future of social security," Economic Modelling, Elsevier, vol. 132(C).

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    More about this item

    JEL classification:

    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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