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Public education and social security: a political economy approach

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Abstract

This study presents an overlapping-generations model with altruism towards children. We characterize a Markov-perfect political equilibrium of voting over two policy issues, public education for the young and social security for the old. The model potentially generates two types of political equilibria, one favoring public education and the other favoring social security. One equilibrium is selected by the government to maximize its objective. It is shown that (i) longevity affects equilibrium selection and relevant policy choices; and (ii) private education as an alternative to public education and a Markov-perfect political equilibrium can generate the two types of equilibria.

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Notes

  1. There are two aspects of population aging: an increase in longevity, which is basically out of the control of individuals, and a decline in fertility rates, which is the outcome of individual decision-making. The current study focuses on the former aspect to examine the effect of an exogenous change in the demographic structure on education and social security policies via voting.

  2. Given the assumption of identical individuals within a generation, we ignore intragenerational political conflict in the present study. Instead, we focus on the conflict between generations.

  3. This assumption is unusual in the literature, but it enables us to demonstrate the intergenerational conflict over the two policy issues (i.e., public education for the young and social security for the old) in a tractable manner.

  4. In general, private education serves as a substitute and a complement to public education (Glomm and Kaganovich 2003; Bearse et al. 2005). The latter role is not included in the present analysis.

  5. An explicit microfoundation for this model is explained in Persson and Tabellini (2000, Chapter 3) and Acemoglu and Robinson (2005, Appendix). Song et al. (2012, Appendix B) show the process of deriving the political objective function in an overlapping generations framework.

  6. The condition \(z_{t}>0\) becomes

    $$\begin{aligned} z_{t}>0\Leftrightarrow h_{t}>\left( \frac{1-\gamma }{p\theta \delta }+1\right) e_{t}+pb_{t}\Leftrightarrow 1>\frac{p(1-\theta )}{1+p\left( (1-\theta )+\delta \right) }. \end{aligned}$$

    The last inequality holds for any set of parameters.

  7. Using this direct calculation, we have

    $$\begin{aligned} V_{t,z>0}^{m}&\gtreqless V_{t,z=>0}^{m}\Leftrightarrow (1+p\delta )\ln \frac{1+p\delta }{1+p\theta \delta }+p\delta \ln \theta \gtreqless p\delta \ln (1-\gamma )\\&\Leftrightarrow \ln \left( \frac{1+p\delta }{1+p\theta \delta }\right) ^{(1+p\delta )}+\ln \left( \theta \right) ^{p\delta }\gtreqless \ln (1-\gamma )^{p\delta }\\&\Leftrightarrow \left( \frac{1+p\delta }{1+p\theta \delta }\right) ^{(1+p\delta )}\left( \theta \right) ^{p\delta }\gtreqless (1-\gamma )^{p\delta }\\&\Leftrightarrow \left( \frac{1+p\delta }{1+p\theta \delta }\right) ^{(1+p\delta )/p\delta }\theta \gtreqless 1-\gamma . \end{aligned}$$

    Using the definition of \(\phi (p)\) in the text, we obtain (9).

  8. An exception is Chile with a 42.1 % share. The share is 24.2 % in Canada, which can plausibly be included in the group of Anglo-Saxon countries.

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Correspondence to Tetsuo Ono.

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The author would like to thank the referee for useful comments and suggestions, and Yuki Uchida for his research assistance. This work was supported in part by a Grant-in-Aid for Scientific Research (C) from the Ministry of Education, Science, and Culture of Japan No. 24530346.

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Ono, T. Public education and social security: a political economy approach. Econ Gov 16, 1–25 (2015). https://doi.org/10.1007/s10101-014-0149-2

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