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Borrowing constraints and two-sided altruism with an application to social security

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  • Altig, David
  • Davis, Steven J.

Abstract

We develop the implications of borrowing constraints and two-sided altruism in an overlapping generations framework with agents who live three periods. Our analysis identifies six equilibrium patterns of intertemporal and intergenerational linkages in the no-loan economy, one of which corresponds to the traditional lifecycle model, and one of which corresponds to Barro's dynastic model. Novel linkage patterns involve parent-to-child transfers early in the life cycle, child-to-parent gifts late in the life cycle, or both. Capital accumulation behavior and the consequences of fiscal policy interventions depend, often critically, on which linkage patterns prevails. We show how unfunded social security interventions can significantly depress aggregate capital accumulation, even when every generation is linked to its successor generation by altruistic transfers. We also derive a non-Ricardian neutrality result for gift-motive economies that holds whether or not borrowing constraints bind and whether or not parent and child are connected by an operative altruism motive at all points in the life cycle.
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Suggested Citation

  • Altig, David & Davis, Steven J., 1993. "Borrowing constraints and two-sided altruism with an application to social security," Journal of Economic Dynamics and Control, Elsevier, vol. 17(3), pages 467-494, May.
  • Handle: RePEc:eee:dyncon:v:17:y:1993:i:3:p:467-494
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    Cited by:

    1. Takaaki Aoki & Kazuo Nishimura, 2017. "Global convergence in an overlapping generations model with two-sided altruism," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1205-1220, November.
    2. Yang, Zaigui, 2009. "Urban public pension, replacement rates and population growth rate in China," Insurance: Mathematics and Economics, Elsevier, vol. 45(2), pages 230-235, October.
    3. Zhao, Weimin & Chen, Na, 2024. "Does old-age security promote rural residents' consumption? A decomposition based on contribution and replacement rates," Economic Analysis and Policy, Elsevier, vol. 82(C), pages 817-830.
    4. Jean Mercier Y Thier, 2004. "Regular Distributive Social Systems," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(1), pages 109-143, February.
    5. Yih-chyi Chuang & Chen-Yeng Chao, 2001. "Educational choice, wage determination, and rates of return to education in Taiwan," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 7(4), pages 479-504, November.
    6. Arrondel, Luc & Masson, Andre, 2006. "Altruism, exchange or indirect reciprocity: what do the data on family transfers show?," Handbook on the Economics of Giving, Reciprocity and Altruism, in: S. Kolm & Jean Mercier Ythier (ed.), Handbook of the Economics of Giving, Altruism and Reciprocity, edition 1, volume 1, chapter 14, pages 971-1053, Elsevier.
    7. Julian Kozlowski & Diego Daruich, 2016. "Explaining Income Inequality and Intergenerational Mobility: The Role of Fertility and Family Transfers," 2016 Meeting Papers 665, Society for Economic Dynamics.
    8. Luisa Fuster, 1999. "Is Altruism Important for Understanding the Long-Run Effects of Social Security?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(3), pages 616-637, July.
    9. Altig, David & Davis, Steven J, 1992. "The Timing of Intergenerational Transfers, Tax Policy, and Aggregate Savings," American Economic Review, American Economic Association, vol. 82(5), pages 1199-1220, December.
    10. Corina Boar, 2020. "Dynastic Precautionary Savings," NBER Working Papers 26635, National Bureau of Economic Research, Inc.
    11. Aoki, Takaaki, 2008. "On the Implications of Two-way Altruism in Human-Capital-Based OLG Model," MPRA Paper 12492, University Library of Munich, Germany.
    12. Barczyk, Daniel, 2016. "Ricardian equivalence revisited: Deficits, gifts and bequests," Journal of Economic Dynamics and Control, Elsevier, vol. 63(C), pages 1-24.
    13. Seiler, Edward J., 1999. "Intergenerational Transfers, Borrowing Constraints and Household Size," Working Papers 232813, Hebrew University of Jerusalem, Center for Agricultural Economic Research.
    14. Yang, Fang, 2013. "Social security reform with impure intergenerational altruism," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 52-67.
    15. Thierry Chauveau & Rahim Loufir, 1993. "Retraites et évolutions démographiques en France - Seconde partie : la transition," Revue de l'OFCE, Programme National Persée, vol. 47(1), pages 117-160.
    16. Aoki Takaaki, 2011. "On the Implications of Two-Sided Altruism in Human Capital Based OLG Model," Asian Journal of Law and Economics, De Gruyter, vol. 2(2), pages 1-40, July.
    17. Diego Daruich & Julian Kozlowski, 2020. "Explaining Intergenerational Mobility: The Role of Fertility and Family Transfers," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 220-245, April.
    18. Kunio Tsuyuhara, 2014. "A Welfare Analysis of Child Labor Restriction: Intergenerational Perspectives," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 39(3), pages 15-33, September.
    19. Daniel Barczyk, 2013. "Deficits, Gifts, and Bequests," 2013 Meeting Papers 25, Society for Economic Dynamics.
    20. Bhattacharya, Subhra K. & Das, Mausumi & Tomar, Priya, 2025. "Time or money? Induced altruism and provision of old-age care," Economic Modelling, Elsevier, vol. 149(C).
    21. Jason Winfree & Philip Watson, 2021. "Buy Local and Social Interaction," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(4), pages 1454-1477, August.

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