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Efficient Intertemporal Allocations with Recursive Utility

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Author Info
Bernard Dumas
Raman Uppal
Tan Wang
Abstract

In 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.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number 0231.

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Date of creation: Apr 1998
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Handle: RePEc:nbr:nberte:0231

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Find related papers by JEL classification:
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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  1. Weil, Philippe, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, MIT Press, vol. 105(1), pages 29-42, February. [Downloadable!] (restricted)
  2. Svensson, Lars E. O., 1989. "Portfolio choice with non-expected utility in continuous time," Economics Letters, Elsevier, vol. 30(4), pages 313-317, October. [Downloadable!] (restricted)
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  3. Constantinides, George M, 1982. "Intertemporal Asset Pricing with Heterogeneous Consumers and without Demand Aggregation," Journal of Business, University of Chicago Press, vol. 55(2), pages 253-67, April. [Downloadable!] (restricted)
  4. Tjalling C. Koopmans, 1959. "Stationary Ordinal Utility and Impatience," Cowles Foundation Discussion Papers 81, Cowles Foundation, Yale University. [Downloadable!]
  5. Lucas, Robert Jr. & Stokey, Nancy L., 1984. "Optimal growth with many consumers," Journal of Economic Theory, Elsevier, vol. 32(1), pages 139-171, February. [Downloadable!] (restricted)
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  6. Mas-Colell, Andreu, 1986. "The Price Equilibrium Existence Problem in Topological Vector Lattice s," Econometrica, Econometric Society, vol. 54(5), pages 1039-53, September. [Downloadable!] (restricted)
  7. 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. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
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