IDEAS home Printed from https://ideas.repec.org/a/spr/jopoec/v38y2025i3d10.1007_s00148-025-01113-3.html
   My bibliography  Save this article

On the role of social security systems in a non-unitary discounting model

Author

Listed:
  • Hongzi Liu

    (Osaka University)

  • Ryo Sakamoto

    (Keio University)

Abstract

A sustainable welfare system is an issue of considerable concern in an era of low population growth. To address this problem, we develop a two-period overlapping generations model in which agents discount their future utility from consumption and leisure at different rates. Using this model, we demonstrate how time inconsistency emerges and investigate the welfare effects of social security systems. We show that when agents discount utility from consumption more than that from leisure, introducing a positive social security policy can achieve Pareto improvement even when the interest rate is higher than the population growth rate. Importantly, a social security system not only mitigates welfare loss because of dynamic inefficiency by allowing for intergenerational income transfers but also alleviates it because of the presence of time-inconsistent behavior by serving as a commitment device.

Suggested Citation

  • Hongzi Liu & Ryo Sakamoto, 2025. "On the role of social security systems in a non-unitary discounting model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 38(3), pages 1-21, September.
  • Handle: RePEc:spr:jopoec:v:38:y:2025:i:3:d:10.1007_s00148-025-01113-3
    DOI: 10.1007/s00148-025-01113-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00148-025-01113-3
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00148-025-01113-3?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Krusell, Per & Kuruscu, Burhanettin & Smith, Anthony Jr., 2002. "Equilibrium Welfare and Government Policy with Quasi-geometric Discounting," Journal of Economic Theory, Elsevier, vol. 105(1), pages 42-72, July.
    2. Shinsuke Ikeda & Takeshi Ojima, 2021. "Tempting goods, self-control fatigue, and time preference in consumer dynamics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(4), pages 1171-1216, November.
    3. Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
    4. Hans Fehr & Wenche Irén Sterkeby & Øystein Thøgersen, 2003. "Social security reforms and early retirement," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(2), pages 345-361, May.
    5. Jan Bonenkamp & Lex Meijdam & Eduard Ponds & Ed Westerhout, 2017. "Ageing-driven pension reforms," Journal of Population Economics, Springer;European Society for Population Economics, vol. 30(3), pages 953-976, July.
    6. Shinichi Nishiyama & Kent Smetters, 2007. "Does Social Security Privatization Produce Efficiency Gains?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 122(4), pages 1677-1719.
    7. Dilip Soman & George Ainslie & Shane Frederick & Xiuping Li & John Lynch & Page Moreau & Andrew Mitchell & Daniel Read & Alan Sawyer & Yaacov Trope & Klaus Wertenbroch & Gal Zauberman, 2005. "The Psychology of Intertemporal Discounting: Why are Distant Events Valued Differently from Proximal Ones?," Marketing Letters, Springer, vol. 16(3), pages 347-360, December.
    8. Torben Andersen & Joydeep Bhattacharya, 2011. "On myopia as rationale for social security," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 47(1), pages 135-158, May.
    9. Per Krusell & Anthony A. Smith, Jr., 2003. "Consumption--Savings Decisions with Quasi--Geometric Discounting," Econometrica, Econometric Society, vol. 71(1), pages 365-375, January.
    10. Torben M. ANDERSEN & Joydeep BHATTACHARYA & Marias H. GESTSSON, 2021. "Pareto-improving transition to fully funded pensions under myopia," JODE - Journal of Demographic Economics, Cambridge University Press, vol. 87(2), pages 169-212, June.
    11. Ayşe İmrohoroğlu & Selahattin İmrohoroğlu & Douglas H. Joines, 2003. "Time-Inconsistent Preferences and Social Security," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 118(2), pages 745-784.
    12. Futagami, Koichi & Maeda, Daiki, 2023. "Naïve agents with non-unitary discounting rate in a monetary economy," Journal of Macroeconomics, Elsevier, vol. 78(C).
    13. Ubfal, Diego, 2016. "How general are time preferences? Eliciting good-specific discount rates," Journal of Development Economics, Elsevier, vol. 118(C), pages 150-170.
    14. Bucciol, Alessandro, 2011. "A Note On Social Security Welfare With Self-Control Problems," Macroeconomic Dynamics, Cambridge University Press, vol. 15(4), pages 579-594, September.
    15. Toshiki Tamai, 2023. "Social security, economic growth, and social welfare in an overlapping generation model with idiosyncratic TFP shock and heterogeneous workers," Journal of Population Economics, Springer;European Society for Population Economics, vol. 36(3), pages 1829-1862, July.
    16. Ryoji Ohdoi & Koichi Futagami, 2021. "Welfare implications of non-unitary time discounting," Theory and Decision, Springer, vol. 90(1), pages 85-115, February.
    17. Arthur E. Attema & Han Bleichrodt & Olivier L’Haridon & Patrick Peretti-Watel & Valérie Seror, 2018. "Discounting health and money: New evidence using a more robust method," Journal of Risk and Uncertainty, Springer, vol. 56(2), pages 117-140, April.
    18. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    19. Hans Fehr & Christian Habermann & Fabian Kindermann, 2008. "Social Security with Rational and Hyperbolic Consumers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 11(4), pages 884-903, October.
    20. Jia Cao & Minghao Li, 2022. "Hyperbolic discounting in an intergenerational model with altruistic parents," Journal of Population Economics, Springer;European Society for Population Economics, vol. 35(3), pages 989-1005, July.
    21. Christoph Merkle & Philipp Schreiber & Martin Weber, 2024. "Inconsistent Retirement Timing," Journal of Human Resources, University of Wisconsin Press, vol. 59(3), pages 929-974.
    22. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    23. Hu, Sheng Cheng, 1979. "Social Security, the Supply of Labor, and Capital Accumulation," American Economic Review, American Economic Association, vol. 69(3), pages 274-283, June.
    24. Soman, Dilip, 2004. "The effect of time delay on multi-attribute choice," Journal of Economic Psychology, Elsevier, vol. 25(2), pages 153-175, April.
    25. Faruk Gul & Wolfgang Pesendorfer, 2001. "Temptation and Self-Control," Econometrica, Econometric Society, vol. 69(6), pages 1403-1435, November.
    26. Diamond, Peter & Koszegi, Botond, 2003. "Quasi-hyperbolic discounting and retirement," Journal of Public Economics, Elsevier, vol. 87(9-10), pages 1839-1872, September.
    27. Breyer, Friedrich & Straub, Martin, 1993. "Welfare effects of unfunded pension systems when labor supply is endogenous," Journal of Public Economics, Elsevier, vol. 50(1), pages 77-91, January.
    28. Giam Cipriani, 2014. "Population aging and PAYG pensions in the OLG model," Journal of Population Economics, Springer;European Society for Population Economics, vol. 27(1), pages 251-256, January.
    29. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    30. Kotlikoff, Laurence J, 1979. "Testing the Theory of Social Security and Life Cycle Accumulation," American Economic Review, American Economic Association, vol. 69(3), pages 396-410, June.
    31. Berthold U. Wigger, 1999. "Pay-as-you-go financed public pensions in a model of endogenous growth and fertility," Journal of Population Economics, Springer;European Society for Population Economics, vol. 12(4), pages 625-640.
    32. Matthias Schön, 2023. "Demographic change and the rate of return in pay-as-you-go pension systems," Journal of Population Economics, Springer;European Society for Population Economics, vol. 36(3), pages 1799-1827, July.
    33. Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 114(4), pages 1125-1152.
    34. Shiyu Li & Shuanglin Lin, 2024. "Social security reforms, capital accumulation, and welfare: A notional defined contribution system vs a modified PAYG system," Journal of Population Economics, Springer;European Society for Population Economics, vol. 37(1), pages 1-34, March.
    35. Rodrigo Cerda, 2005. "On social security financial crisis," Journal of Population Economics, Springer;European Society for Population Economics, vol. 18(3), pages 509-517, September.
    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. Takeo Hori & Koichi Futagami, 2019. "A Non‐unitary Discount Rate Model," Economica, London School of Economics and Political Science, vol. 86(341), pages 139-165, January.
    2. Tyrowicz, Joanna, 2020. "Are incentivized old-age savings schemes effective under incomplete rationality?," VfS Annual Conference 2020 (Virtual Conference): Gender Economics 224526, Verein für Socialpolitik / German Economic Association.
    3. repec:rim:rimwps:20-06 is not listed on IDEAS
    4. Futagami, Koichi & Maeda, Daiki, 2023. "Naïve agents with non-unitary discounting rate in a monetary economy," Journal of Macroeconomics, Elsevier, vol. 78(C).
    5. Pier-André Bouchard St-Amant & Jean-Denis Garon, 2015. "Optimal redistributive pensions and the cost of self-control," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 22(5), pages 723-740, October.
    6. Ryoji Ohdoi & Koichi Futagami, 2021. "Welfare implications of non-unitary time discounting," Theory and Decision, Springer, vol. 90(1), pages 85-115, February.
    7. Kumru, Cagri S. & Tran, Chung, 2012. "Temptation and social security in a dynastic framework," European Economic Review, Elsevier, vol. 56(7), pages 1422-1445.
    8. Minwook Kang, 2019. "Pareto-improving tax policies under hyperbolic discounting," International Tax and Public Finance, Springer;International Institute of Public Finance, vol. 26(3), pages 618-660, June.
    9. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self Control, Revealed Preferences and Consumption Choice," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 7(2), pages 243-264, April.
    10. Kumru, Çagri S. & Thanopoulos, Athanasios C., 2008. "Social security and self control preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 757-778, March.
    11. Salanie, Francois & Treich, Nicolas, 2006. "Over-savings and hyperbolic discounting," European Economic Review, Elsevier, vol. 50(6), pages 1557-1570, August.
    12. Erin Cottle Hunt & Frank N. Caliendo, 2022. "Social security and risk sharing: A survey of four decades of economic analysis," Journal of Economic Surveys, Wiley Blackwell, vol. 36(5), pages 1591-1609, December.
    13. Torben M. Andersen & Joydeep Bhattacharya, 2021. "Why mandate young borrowers to contribute to their retirement accounts?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(1), pages 115-149, February.
    14. Jianjun Miao, 2008. "Option exercise with temptation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 34(3), pages 473-501, March.
    15. Tran, Chung, 2018. "Temptation and taxation with elastic labor," Economic Modelling, Elsevier, vol. 70(C), pages 351-369.
    16. Shiyu Li & Shuanglin Lin, 2024. "Social security reforms, capital accumulation, and welfare: A notional defined contribution system vs a modified PAYG system," Journal of Population Economics, Springer;European Society for Population Economics, vol. 37(1), pages 1-34, March.
    17. Kumru, Cagri S. & Thanopoulos, Athanasios C., 2011. "Social security reform with self-control preferences," Journal of Public Economics, Elsevier, vol. 95(7-8), pages 886-899, August.
    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. Agah R. Turan, 2019. "Intentional time inconsistency," Theory and Decision, Springer, vol. 86(1), pages 41-64, February.
    20. Guo, Nick L. & Caliendo, Frank N., 2014. "Time-inconsistent preferences and time-inconsistent policies," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 102-108.
    21. Alessandro Bucciol, 2007. "Life-Cycle Models, Economic Puzzles and Temptation Preferences," Giornale degli Economisti, GDE (Giornale degli Economisti e Annali di Economia), Bocconi University, vol. 66(1), pages 115-144, March.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    JEL classification:

    • E6 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook
    • E71 - Macroeconomics and Monetary Economics - - Macro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on the Macro Economy
    • H55 - Public Economics - - National Government Expenditures and Related Policies - - - Social Security and Public Pensions

    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:spr:jopoec:v:38:y:2025:i:3:d:10.1007_s00148-025-01113-3. 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.