On the Existence and Characterization of Markovian Equilibrium in Models with Simple Non-paternalistic Altruism
This paper presents results on existence and characterization of Markov equilibrium for a broad class of models with intergenerational altruism frequently used in the macroeconomic literature. In these models, parents are assumed to have a simple non-paternalistic utility, as each generation derives utility from its own consumption and the utility of the next generation. Models with simple nonpaternalistic altruism are widely used (Barro , Barro and Becker, Loury ), but results establishing existence and characterizations of equilibrium are surprisingly few and incomplete. Most important is the seminal work of Ray  demonstrating the existence of an indirect utility function and a saving policy such that it is optimal for each generation to follow that particular policy, providing its descendants use the same policy, and that the indirect utility function is the same for all generations. In addition, the optimal saving policy is shown to be an increasing function of current endowments. Ray focuses on existence, and there is no characterization of the set of equilibria, no indications on how to compute them, and no conditions under which the equilibrium can be shown to be unique. This paper addresses these concerns.
|Date of creation:|
|Date of revision:|
|Contact details of provider:|| Postal: Box 873806, Tempe, AZ 85287-3806|
Phone: (480) 965-5514
Fax: (480) 965-0748
Web page: http://repec.wpcarey.asu.edu/RePEc/asu/
More information through EDIRC
References listed on IDEAS
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.:
- Robert J. Barro & Gary S. Becker, .
"Fertility Choice in a Model of Economic Growth,"
University of Chicago - Population Research Center
88-8, Chicago - Population Research Center.
- Olivier F. Morand & Kevin L. Reffett, 2001.
"Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies,"
2001-02, University of Connecticut, Department of Economics.
- Morand, Olivier F. & Reffett, Kevin L., 2003. "Existence and uniqueness of equilibrium in nonoptimal unbounded infinite horizon economies," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1351-1373, September.
- Olivier F. Morand & Kevin L. Reffett, 2002. "Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies," Tinbergen Institute Discussion Papers 02-085/2, Tinbergen Institute.
- Barro, Robert J., 1974.
"Are Government Bonds Net Wealth?,"
3451399, Harvard University Department of Economics.
- Ray, Debraj, 1987. "Nonpaternalistic intergenerational altruism," Journal of Economic Theory, Elsevier, vol. 41(1), pages 112-132, February.
- Sundaram, Rangarajan K., 1989. "Perfect equilibrium in non-randomized strategies in a class of symmetric dynamic games," Journal of Economic Theory, Elsevier, vol. 47(1), pages 153-177, February.
- Coleman, Wilbur John, II, 1991.
"Equilibrium in a Production Economy with an Income Tax,"
Econometric Society, vol. 59(4), pages 1091-1104, July.
- Wilbur John Coleman, 1989. "Equilibrium in a production economy with an income tax," International Finance Discussion Papers 366, Board of Governors of the Federal Reserve System (U.S.).
- Datta, Manjira & Mirman, Leonard J. & Reffett, Kevin L., 2002.
"Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor,"
Journal of Economic Theory,
Elsevier, vol. 103(2), pages 377-410, April.
- Manjira Datta & Leonard Mirman & Kevin Reffett, . "Existence and Uniqueness of Equilibrium in Distorted Dynamic Economies with Capital and Labor," Working Papers 2132846, Department of Economics, W. P. Carey School of Business, Arizona State University.
- Loury, Glenn C, 1981. "Intergenerational Transfers and the Distribution of Earnings," Econometrica, Econometric Society, vol. 49(4), pages 843-67, June.
When requesting a correction, please mention this item's handle: RePEc:asu:wpaper:2133478. 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: (Steve Salik)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.