Learning to Perfect Manipulation: Implications for Fertility, Savings, and Old-Age Social Security
In this paper we consider an overlapping generations model with endogenous fertility and two-sided altruism and show the limitations of applying commonly used open loop Nash equilibrium in characterizing equilibrium transfers from parents to children in the form of bequest, and transfers from children to parents as voluntary old-age support. Since in our model children are concerned with parents' old-age consumption, agents have incentives to save less for old age and to have more children so as to strategically induce their children to transfer more old-age support. We formulate such strategic behavior within a sequential multi-stage game and introduce a notion of learning equilibrium to characterize equilibrium manipulative behavior and then study the consequences of such strategic manipulations on private intergenerational transfers, fertility and savings decisions, and on Pareto optimality of equilibrium allocation. We show that the learning equilibrium notion of the paper simplifies computation of subgame perfect equilibrium, subgame perfect equilibrium is the long-run outcome of dynamic learning equilibrium paths (this aids in selecting, sometimes, a unique equilibrium among multiple subgame perfect equilibria), and an open-loop Nash equilibrium involves "incredible" threats from children. We provide an alternative explanation for the existence of publicly provided social security program and examine its role to correct distortions created by strategic manipulation.
|Date of creation:||28 May 1997|
|Date of revision:|
|Note:||Type of Document - pdf/pstscript; prepared on IBM PC ; to print on PostScript; pages: 25 ; figures: included. Not published. Posted for your comments.|
|Contact details of provider:|| Web page: http://econwpa.repec.org|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kohlberg, Elon, 1976. "A model of economic growth with altruism between generations," Journal of Economic Theory, Elsevier, vol. 13(1), pages 1-13, August.
- Diamond, P. A., 1977. "A framework for social security analysis," Journal of Public Economics, Elsevier, vol. 8(3), pages 275-298, December.
- Lakshmi Kanta Raut, 1992.
"Effect of Social Security on Fertility and Savings: An Overlapping Generations Model,"
Indian Economic Review,
Department of Economics, Delhi School of Economics, vol. 27(1), pages 25-43, July.
- L. K. Raut, . "Effects of Social Security on Fertility and Saving: An Overlapping Generations Model," University of Chicago - Population Research Center 87-13, Chicago - Population Research Center.
- Diamond, P. A. & Mirrlees, J. A., 1978.
"A model of social insurance with variable retirement,"
Journal of Public Economics,
Elsevier, vol. 10(3), pages 295-336, December.
- P. A. Diamond & J. A. Mirrlees, 1977. "A Model of Social Insurance With Variable Retirement," Working papers 210, Massachusetts Institute of Technology (MIT), Department of Economics.
- Gary S. Becker & Robert J. Barro, 1988.
"A Reformulation of the Economic Theory of Fertility,"
The Quarterly Journal of Economics,
Oxford University Press, vol. 103(1), pages 1-25.
- Gary S. Becker & Robert J. Barro, 1986. "A Reformulation of the Economic Theory of Fertility," NBER Working Papers 1793, National Bureau of Economic Research, Inc.
- Gary S. Becker & Robert J. Barro, . "A Reformulation of the Economic Theory of Fertility," University of Chicago - Population Research Center 85-11, Chicago - Population Research Center.
- Barro, Robert J., 1974.
"Are Government Bonds Net Wealth?,"
3451399, Harvard University Department of Economics.
- Shleifer, Andrei & Summers, Lawrence H. & Bernheim, B. Douglas, 1986.
"The Strategic Bequest Motive,"
3721794, Harvard University Department of Economics.
- Bernheim, B Douglas & Shleifer, Andrei & Summers, Lawrence H, 1985. "The Strategic Bequest Motive," Journal of Political Economy, University of Chicago Press, vol. 93(6), pages 1045-76, December.
- Bernheim, B Douglas & Shleifer, Andrei & Summers, Lawrence H, 1986. "The Strategic Bequest Motive," Journal of Labor Economics, University of Chicago Press, vol. 4(3), pages S151-82, July.
- Hansson, Ingemar & Stuart, Charles, 1989. "Social Security as Trade among Living Generations," American Economic Review, American Economic Association, vol. 79(5), pages 1182-95, December.
- Nishimura, K. & Zhang, J., 1990.
"Pay-As-You-Go Public Pensions With Endogenous Fertility,"
202, Australian National University - Department of Economics.
- Nishimura, Kazuo & Zhang, Junsen, 1992. "Pay-as-you-go public pensions with endogenous fertility," Journal of Public Economics, Elsevier, vol. 48(2), pages 239-258, July.
- Gary S. Becker, 1974.
"A Theory of Social Interactions,"
NBER Working Papers
0042, National Bureau of Economic Research, Inc.
- Pollak, Robert A, 1988. "Tied Transfers and Paternalistic Preferences," American Economic Review, American Economic Association, vol. 78(2), pages 240-44, May.
- Raut, L. K., 1990. "Capital accumulation, income distribution and endogenous fertility in an overlapping generations general equilibrium model," Journal of Development Economics, Elsevier, vol. 34(1-2), pages 123-150, November.
- Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467.
- Browning, Edgar K, 1975. "Why the Social Insurance Budget Is Too Large in a Democracy," Economic Inquiry, Western Economic Association International, vol. 13(3), pages 373-88, September.
- Veall, Michael R., 1986. "Public pensions as optimal social contracts," Journal of Public Economics, Elsevier, vol. 31(2), pages 237-251, November.
When requesting a correction, please mention this item's handle: RePEc:wpa:wuwpla:9705003. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (EconWPA)
If references are entirely missing, you can add them using this form.