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Discounting under disagreement

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  • Geoffrey Heal
  • Antony Millner

Abstract

A group of time consistent agents has access to a common productive resource stock whose output provides their consumption needs. The agents disagree about the appropriate pure rate of time preference to use when choosing a consumption policy, and thus delegate the management of the resource to a social planner who allocates consumption efficiently across individuals and over time. We show that the planner's optimal policy is equivalent to that of a representative agent with a time varying rate of impatience. The representative agent's time preferences depend on the distribution of time preferences in the group, on the agents' tolerance for consumption uctuations, and on the productivity of the resource. The representative agent's rate of impatience coincides with that of the individual with the lowest rate of impatience in the long run, and under plausible conditions, is monotonically declining. In the work-horse case of iso-elastic felicity functions, and Gamma distributed rates of impatience, analytic solutions are possible, and the representative agent has hyperbolic time preferences. We thus provide a normative justification for the use of declining rates of time preference in dynamic welfare analysis.

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Paper provided by Grantham Research Institute on Climate Change and the Environment in its series Grantham Research Institute on Climate Change and the Environment Working Papers with number 112.

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Date of creation: Apr 2013
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Handle: RePEc:lsg:lsgwps:wp112

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  1. Diego Nocetti & Elyès Jouini & Clotilde Napp, 2008. "Properties of the Social Discount Rate in a Benthamite Framework with Heterogeneous Degrees of Impatience," Management Science, INFORMS, vol. 54(10), pages 1822-1826, October.
  2. Martin L. Weitzman, 2009. "Risk-Adjusted Gamma Discounting," NBER Working Papers 15588, National Bureau of Economic Research, Inc.
  3. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
  4. Elyès Jouini & Jean-Michel Marin & Clotilde Napp, 2010. "Discounting and Divergence of Opinion," Post-Print halshs-00176636, HAL.
  5. William D. Nordhaus, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 686-702, September.
  6. Karp, Larry S, 2004. "Global warming and hyperbolic discounting," CUDARE Working Paper Series 0934R, University of California at Berkeley, Department of Agricultural and Resource Economics and Policy.
  7. Chiaki Hara, 2009. "Heterogeneous Impatience in a Continuous-Time Model," KIER Working Papers 665, Kyoto University, Institute of Economic Research.
  8. Laibson, David I., 1997. "Golden Eggs and Hyperbolic Discounting," Scholarly Articles 4481499, Harvard University Department of Economics.
  9. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-88.
  10. Weitzman, Martin L., 1998. "Why the Far-Distant Future Should Be Discounted at Its Lowest Possible Rate," Journal of Environmental Economics and Management, Elsevier, vol. 36(3), pages 201-208, November.
  11. Martin L. Weitzman, 2007. "A Review of the Stern Review on the Economics of Climate Change," Journal of Economic Literature, American Economic Association, vol. 45(3), pages 703-724, September.
  12. Martin L. Weitzman, 1998. "Gamma Discounting," Harvard Institute of Economic Research Working Papers 1843, Harvard - Institute of Economic Research.
  13. Joseph Farrell and Eric Maskin., 1987. "Renegotiation in Repeated Games," Economics Working Papers 8759, University of California at Berkeley.
  14. Napp, Clotilde & Marin, Jean-Michel & Jouini, Elyès, 2010. "Discounting and Divergence of Opinion," Economics Papers from University Paris Dauphine 123456789/2326, Paris Dauphine University.
  15. 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.
  16. Loewenstein, George & Prelec, Drazen, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, MIT Press, vol. 107(2), pages 573-97, May.
  17. Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November.
  18. Yvan Lengwiler, 2005. "Heterogeneous Patience and the Term Structure of Real Interest Rates," American Economic Review, American Economic Association, vol. 95(3), pages 890-896, June.
  19. Heal, Geoffrey, 2005. "Intertemporal Welfare Economics and the Environment," Handbook of Environmental Economics, in: K. G. Mäler & J. R. Vincent (ed.), Handbook of Environmental Economics, edition 1, volume 3, chapter 21, pages 1105-1145 Elsevier.
  20. Ben Groom & Cameron Hepburn & Phoebe Koundouri & David Pearce, 2005. "Declining Discount Rates: The Long and the Short of it," Environmental & Resource Economics, European Association of Environmental and Resource Economists, vol. 32(4), pages 445-493, December.
  21. Partha Dasgupta, 2008. "Discounting climate change," Journal of Risk and Uncertainty, Springer, vol. 37(2), pages 141-169, December.
  22. Kocherlakota, Narayana R., 1996. "Reconsideration-Proofness: A Refinement for Infinite Horizon Time Inconsistency," Games and Economic Behavior, Elsevier, vol. 15(1), pages 33-54, July.
  23. Christian Gollier & Richard Zeckhauser, 2005. "Aggregation of Heterogeneous Time Preferences," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 878-896, August.
  24. Becker, Robert A, 1980. "On the Long-Run Steady State in a Simple Dynamic Model of Equilibrium with Heterogeneous Households," The Quarterly Journal of Economics, MIT Press, vol. 95(2), pages 375-82, September.
  25. Li, Chuan-Zhong & Lofgren, Karl-Gustaf, 2000. "Renewable Resources and Economic Sustainability: A Dynamic Analysis with Heterogeneous Time Preferences," Journal of Environmental Economics and Management, Elsevier, vol. 40(3), pages 236-250, November.
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