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On the Implications of Two-way Altruism in Human-Capital-Based OLG Model

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  • Aoki, Takaaki

Abstract

This article summarizes some propositions regarding economic dynamics and implications of two-way altruism, on the basis of the human-capital-based OLG model of Ehrlich and Lui (1991) and Ehrlich and Kim (2007) with application of a modified, fertility-endogenized definition of linearly separable two-way altruism examined by Abel (1987) and Altig and Davis (1993). Some properties in both a transition process and a steady state, and the effect of unfunded social security on an equilibrium path are also discussed. My calibration results and analyses show that (1) the combination of altruism toward parents and children is crucial for determining a threshold level of initial human capital and productivity in a transition process (stagnant to growth or growth to stagnant), and the generation’s attained utility, (2) dynamic consistency might not necessarily be the best choice to overpass the stumbling block against growth regime, (3) in this human-capital-based OLG model, a regular recursive induction approach might still cause inefficiency in terms of an ex-post Pareto optimality criterion as of two periods later, even if strategic effects for after children (two generations later) are appropriately taken account of, and (4) unfunded social security tax, which involves actuarially fair insurance as well as certainty premium transfer, does affect critical values for a regime change as well as dynamic equilibrium paths and corresponding subsequent life strategies, even in two-way altruistic economy.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 12492.

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Date of creation: Apr 2008
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Handle: RePEc:pra:mprapa:12492

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Keywords: Two way altruism; Dynamic consistency; Dynamic efficiency; Unfunded social security; Human capital; Fertility; Overlapping generation model;

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  1. Becker, Gary S & Barro, Robert J, 1988. "A Reformulation of the Economic Theory of Fertility," The Quarterly Journal of Economics, MIT Press, vol. 103(1), pages 1-25, February.
  2. K Blackburn & G P Cipriani, 2002. "Intergenerational Transfers and Demographic Transition," The School of Economics Discussion Paper Series 0218, Economics, The University of Manchester.
  3. Abel, Andrew B, 1987. "Operative Gift and Bequest Motives," American Economic Review, American Economic Association, vol. 77(5), pages 1037-47, December.
  4. David Altig & Steve J. Davis, 1991. "Borrowing Constraints and Two-Sided Altruism With an Application to Social Security," NBER Working Papers 3913, National Bureau of Economic Research, Inc.
  5. Cigno, Alessandro & Rosati, Furio C., 1996. "Jointly determined saving and fertility behaviour: Theory, and estimates for Germany, Italy, UK and USA," European Economic Review, Elsevier, vol. 40(8), pages 1561-1589, November.
  6. Isaac Ehrlich & Jinyoung Kim, 2007. "Social Security and Demographic Trends: Theory and Evidence from the International Experience," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(1), pages 55-77, January.
  7. Becker, Gary S & Murphy, Kevin M, 1988. "The Family and the State," Journal of Law and Economics, University of Chicago Press, vol. 31(1), pages 1-18, April.
  8. Kimball, Miles S., 1987. "Making sense of two-sided altruism," Journal of Monetary Economics, Elsevier, vol. 20(2), pages 301-326, September.
  9. Abel, Andrew B, 1985. "Precautionary Saving and Accidental Bequests," American Economic Review, American Economic Association, vol. 75(4), pages 777-91, September.
  10. Aoki, Takaaki, 2006. "Some Propositions on Intergenerational Risk Sharing, Social Security and Self-Insurance," MPRA Paper 11684, University Library of Munich, Germany.
  11. Michele Boldrin & Mariacristina De Nardi & Larry E. Jones, 2005. "Fertility and Social Security," NBER Working Papers 11146, National Bureau of Economic Research, Inc.
  12. Miki Kohara & Fumio Ohtake, 2006. "Altruism and the Care of Elderly Parents: Evidence from Japanese Families," ISER Discussion Paper 0670, Institute of Social and Economic Research, Osaka University.
  13. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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