Efficient Intertemporal Allocations with Recursive Utility
AbstractIn this article, our objective is to determine efficient allocations in economies with multiple agents having recursive utility functions. Our main result is to show that in a multiagent economy, the problem of determining efficient allocations can be characterized in terms of a single value function (that of a social planner), rather than multiple functions (one for each investor), as has been proposed thus far (Duffie, Geoffard and Skiadas (1994)). We then show how the single value function can be identified using the familiar technique of stochastic dynamic programming. We achieve these goals by first extending to a stochastic environment Geoffard's (1996) concept of variational utility and his result that variational utility is equivalent to recursive utility, and then using these results to characterize allocations in a multiagent setting.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0231.
Date of creation: Apr 1998
Date of revision:
Contact details of provider:
Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
Web page: http://www.nber.org
More information through EDIRC
Other versions of this item:
- Dumas, Bernard & Uppal, Raman & Wang, Tan, 2000. "Efficient Intertemporal Allocations with Recursive Utility," Journal of Economic Theory, Elsevier, vol. 93(2), pages 240-259, August.
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
This paper has been announced in the following NEP Reports:
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.:
- Epstein, Larry G, 1987. "The Global Stability of Efficient Intertemporal Allocations," Econometrica, Econometric Society, vol. 55(2), pages 329-55, March.
- Costis Skiadas, 1998. "Recursive utility and preferences for information," Economic Theory, Springer, vol. 12(2), pages 293-312.
- Svensson, L.E.O., 1988.
"Portfolio Choice With Non-Expected Utility In Continuous Time,"
423, Stockholm - International Economic Studies.
- Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October.
- Lucas, Robert Jr. & Stokey, Nancy L., 1984.
"Optimal growth with many consumers,"
Journal of Economic Theory,
Elsevier, vol. 32(1), pages 139-171, February.
- Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation for Research in Economics, Yale University.
- Geoffard, Pierre-Yves, 1996. "Discounting and Optimizing: Capital Accumulation Problems as Variational Minmax Problems," Journal of Economic Theory, Elsevier, vol. 69(1), pages 53-70, April.
- Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," The Journal of Business, University of Chicago Press, vol. 55(2), pages 253-67, April.
- Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February.
- Duffie, Darrell & Epstein, Larry G, 1992. "Stochastic Differential Utility," Econometrica, Econometric Society, vol. 60(2), pages 353-94, March.
- N. El Karoui & S. Peng & M. C. Quenez, 1997. "Backward Stochastic Differential Equations in Finance," Mathematical Finance, Wiley Blackwell, vol. 7(1), pages 1-71.
- Dana, Rose-Anne & Van, Cuong Le, 1991. "Optimal growth and Pareto optimality," Journal of Mathematical Economics, Elsevier, vol. 20(2), pages 155-180.
- Duffie, Darrel & Lions, Pierre-Louis, 1992. "PDE solutions of stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 577-606.
- Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
- Duffie, Darrell & Epstein, Larry G, 1992. "Asset Pricing with Stochastic Differential Utility," Review of Financial Studies, Society for Financial Studies, vol. 5(3), pages 411-36.
- David M Kreps & Evan L Porteus, 1978.
"Temporal Resolution of Uncertainty and Dynamic Choice Theory,"
Levine's Working Paper Archive
625018000000000009, David K. Levine.
- Kreps, David M & Porteus, Evan L, 1978. "Temporal Resolution of Uncertainty and Dynamic Choice Theory," Econometrica, Econometric Society, vol. 46(1), pages 185-200, January.
- Kan Rui, 1995. "Structure of Pareto Optima When Agents Have Stochastic Recursive Preferences," Journal of Economic Theory, Elsevier, vol. 66(2), pages 626-631, August.
- Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-53, September.
- Duffie, Darrell & Geoffard, Pierre-Yves & Skiadas, Costis, 1994. "Efficient and equilibrium allocations with stochastic differential utility," Journal of Mathematical Economics, Elsevier, vol. 23(2), pages 133-146, March.
- Peter Klibanoff & Emre Ozdenoren, 2007. "Subjective recursive expected utility," Economic Theory, Springer, vol. 30(1), pages 49-87, January.
- Roche, Hervé, 2011. "Asset prices in an exchange economy when agents have heterogeneous homothetic recursive preferences and no risk free bond is available," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 80-96, January.
- Hansen, Lars Peter & Sargent, Thomas J., 2012.
"Three types of ambiguity,"
Journal of Monetary Economics,
Elsevier, vol. 59(5), pages 422-445.
- Anderson, Evan W., 2005. "The dynamics of risk-sensitive allocations," Journal of Economic Theory, Elsevier, vol. 125(2), pages 93-150, December.
- Felix Kubler & Karl Schmedders, 2010.
"Non-parametric counterfactual analysis in dynamic general equilibrium,"
Springer, vol. 45(1), pages 181-200, October.
- Felix KUBLER & Karl SCHMEDDERS, . "Non-parametric counterfactual analysis in dynamic general equilibrium," Swiss Finance Institute Research Paper Series 09-05, Swiss Finance Institute.
- Felix Kubler & Karl Schmedders, 2007. "Non-parametric counterfactual analysis in dynamic general equilibrium," PIER Working Paper Archive 07-027, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- Epstein, Larry G. & Miao, Jianjun, 2003.
"A two-person dynamic equilibrium under ambiguity,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 27(7), pages 1253-1288, May.
- Karen K. Lewis, 2011. "Global asset pricing," Globalization and Monetary Policy Institute Working Paper 88, Federal Reserve Bank of Dallas.
- Roche, Herve, 2003. "Stochastic growth: a duality approach," Journal of Economic Theory, Elsevier, vol. 113(1), pages 131-143, November.
- Isaenko, Sergei, 2008. "The term structure of interest rates in a pure exchange economy where investors have heterogeneous recursive preferences," The Quarterly Review of Economics and Finance, Elsevier, vol. 48(3), pages 457-481, August.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().
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.