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Efficient Intertemporal Allocations with Recursive Utility

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  • 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.

Suggested Citation

  • Bernard Dumas & Raman Uppal & Tan Wang, 1998. "Efficient Intertemporal Allocations with Recursive Utility," NBER Technical Working Papers 0231, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberte:0231
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Karen K. Lewis, 2011. "Global Asset Pricing," NBER Working Papers 17261, National Bureau of Economic Research, Inc.
    2. Anderson, Evan W., 2005. "The dynamics of risk-sensitive allocations," Journal of Economic Theory, Elsevier, vol. 125(2), pages 93-150, December.
    3. Peter Klibanoff & Emre Ozdenoren, 2007. "Subjective recursive expected utility," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 49-87.
    4. Dumas, Bernard & Harvey, Campbell R. & Ruiz, Pierre, 2003. "Are correlations of stock returns justified by subsequent changes in national outputs?," Journal of International Money and Finance, Elsevier, vol. 22(6), pages 777-811, November.
    5. Karen K. Lewis, 2011. "Global asset pricing," Globalization and Monetary Policy Institute Working Paper 88, Federal Reserve Bank of Dallas.
    6. Baker, Steven D. & Hollifield, Burton & Osambela, Emilio, 2016. "Disagreement, speculation, and aggregate investment," Journal of Financial Economics, Elsevier, vol. 119(1), pages 210-225.
    7. Hansen, Lars Peter & Sargent, Thomas J., 2012. "Three types of ambiguity," Journal of Monetary Economics, Elsevier, pages 422-445.
    8. 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.
    9. 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.
    10. 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.
    11. Felix Kubler & Karl Schmedders, 2010. "Non-parametric counterfactual analysis in dynamic general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 181-200.
    12. Buss, Adrian & Uppal, Raman & Vilkov, Grigory, 2014. "Asset prices in general equilibrium with recursive utility and illiquidity induced by transactions costs," SAFE Working Paper Series 41, Research Center SAFE - Sustainable Architecture for Finance in Europe, Goethe University Frankfurt.
    13. Jules H. van Binsbergen & Wouter Hueskes & Ralph Koijen & Evert B. Vrugt, 2011. "Equity Yields," NBER Working Papers 17416, National Bureau of Economic Research, Inc.
    14. Costis Skiadas, 2015. "Dynamic choice with constant source-dependent relative risk aversion," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), pages 393-422.
    15. Bernard Dumas & Pascal Maenhout, 2002. "A Central-Planning Approach to Dynamic Incomplete-Market Equilibrium," Levine's Working Paper Archive 391749000000000523, David K. Levine.
    16. Cadenillas, Abel & Cvitanic, Jaksa & Zapatero, Fernando, 2007. "Optimal risk-sharing with effort and project choice," Journal of Economic Theory, Elsevier, vol. 133(1), pages 403-440, March.
    17. Indrajit Mitra & Leonid Kogan, 2014. "Accuracy Verification for Numerical Solutions of Equilibrium Models," 2014 Meeting Papers 423, Society for Economic Dynamics.
    18. Roche, Herve, 2003. "Stochastic growth: a duality approach," Journal of Economic Theory, Elsevier, vol. 113(1), pages 131-143, November.
    19. Luis A. Alcala, 2016. "On the time consistency of collective preferences," Papers 1607.02688, arXiv.org, revised Jul 2016.

    More about this item

    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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