Dynamic choices of hyperbolic consumers: the continuous time case
This paper characterizes the set of differentiable subgame perfect equilibria in a continuous time intertemporal decision optimization problem with non-constant discounting. The idea of an infinitesimal self is formalized and the equilibrium characterization takes the form of an integral equation (IE) which is reminiscent of the Hamilton-Jacobi-Bellman equation. Beginning with a local existence proof of IE, we analyze some equilibria of the consumption saving problem. We then use the equation IE to suggest a critical indeterminacy in the Ramsey growth model with non-constant discounting
|Date of creation:||03 Dec 2006|
|Contact details of provider:|| Postal: Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA|
Web page: http://www.EconomicDynamics.org/
More information through EDIRC
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.:
- Per Krusell & Anthony A. Smith, Jr., 2003.
"Consumption--Savings Decisions with Quasi--Geometric Discounting,"
Econometric Society, vol. 71(1), pages 365-375, January.
- Per Krusell & Anthony A. Smith, Jr., "undated". "Consumption-Savings Decisions with Quasi-Geometric Discounting," GSIA Working Papers 2001-05, Carnegie Mellon University, Tepper School of Business.
- Per Krusell & Anthony A Smith, Jr., 2001. "Consumption Savings Decisions with Quasi-Geometric Discounting," NajEcon Working Paper Reviews 625018000000000251, www.najecon.org.
- Per Krusell & Anthony A Smith, Jr., 2001. "Consumption Savings Decisions with Quasi-Geometric Discounting," Levine's Working Paper Archive 625018000000000251, David K. Levine.
- Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers.
- R. A. Pollak, 1968. "Consistent Planning," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 201-208.
- Robert J. Barro, 2013. "Inflation and Economic Growth," Annals of Economics and Finance, Society for AEF, vol. 14(1), pages 121-144, May.
- Robert J. Barro, 1995. "Inflation and Economic Growth," NBER Working Papers 5326, National Bureau of Economic Research, Inc.
- Robert J. Barro, 2012. "Inflation and Economic Growth," CEMA Working Papers 568, China Economics and Management Academy, Central University of Finance and Economics.
- Ted O'Donoghue & Matthew Rabin, 1996. "Doing It Now or Later," Discussion Papers 1172, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- O'Donoghue, Ted & Rabin, Matthew, 1997. "Doing It Now or Later," Department of Economics, Working Paper Series qt7t44m5b0, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
- Ted O'Donoghue and Matthew Rabin ., 1997. "Doing It Now or Later," Economics Working Papers 97-253, University of California at Berkeley.
- Laibson, David, 1998. "Life-cycle consumption and hyperbolic discount functions," European Economic Review, Elsevier, vol. 42(3-5), pages 861-871, May.
- Erzo G. J. Luttmer & Thomas Mariotti, 2003. "Subjective Discounting in an Exchange Economy," Journal of Political Economy, University of Chicago Press, vol. 111(5), pages 959-989, October.
- 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.
- George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 573-597.
- Xavier Sala-I-Martin, 1997. "Transfers, Social Safety Nets, and Economic Growth," IMF Staff Papers, Palgrave Macmillan, vol. 44(1), pages 81-102, March.
- Xavier Sala-i-Martin, 1995. "Transfers, social safety nets and economic growth," Economics Working Papers 139, Department of Economics and Business, Universitat Pompeu Fabra.
- Robert J. Barro, 1999. "Ramsey Meets Laibson in the Neoclassical Growth Model," The Quarterly Journal of Economics, Oxford University Press, vol. 114(4), pages 1125-1152.
- David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
- Laibson, David I., 1997. "Golden Eggs and Hyperbolic Discounting," Scholarly Articles 4481499, Harvard University Department of Economics.
- E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," Review of Economic Studies, Oxford University Press, vol. 35(2), pages 185-199.
- Arthur J. Robson & Philip J. Reny, 2002. "Existence of subgame perfect equilibrium with public randomization: A short proof," Economics Bulletin, AccessEcon, vol. 3(24), pages 1-8.
- Harris, Christopher & Reny, Philip & Robson, Arthur, 1995. "The Existence of Subgame-Perfect Equilibrium in Continuous Games with Almost Perfect Information: A Case for Public Randomization," Econometrica, Econometric Society, vol. 63(3), pages 507-544, May. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:red:sed006:822. 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: (Christian Zimmermann)
If references are entirely missing, you can add them using this form.