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Non-hyperbolic time inconsistency

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Author Info

  • Bleichrodt, Han
  • Rohde, Kirsten I.M.
  • Wakker, Peter P.

Abstract

The commonly used hyperbolic and quasi-hyperbolic discount functions have been developed to accommodate decreasing impatience, which is the prevailing empirical finding in intertemporal choice, in particular for aggregate behavior. However, these discount functions do not have the flexibility to accommodate increasing impatience or strongly decreasing impatience. This lack of flexibility is particularly disconcerting for fitting data at the individual level, where various patterns of increasing impatience and strongly decreasing impatience will occur for a significant fraction of subjects. This paper presents discount functions with constant absolute (CADI) or constant relative (CRDI) decreasing impatience that can accommodate any degree of decreasing or increasing impatience. In particular, they are sufficiently flexible for analyses at the individual level. The CADI and CRDI discount functions are the analogs of the well-known CARA and CRRA utility functions for decision under risk.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 66 (2009)
Issue (Month): 1 (May)
Pages: 27-38

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Handle: RePEc:eee:gamebe:v:66:y:2009:i:1:p:27-38

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Web page: http://www.elsevier.com/locate/inca/622836

Related research

Keywords: Hyperbolic discounting CADI discounting CRDI discounting Decreasing impatience Time preference;

References

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  1. Fishburn, Peter C & Rubinstein, Ariel, 1982. "Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(3), pages 677-94, October.
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  8. Barsky, Robert B, et al, 1997. "Preference Parameters and Behavioral Heterogeneity: An Experimental Approach in the Health and Retirement Study," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 537-79, May.
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Citations

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Cited by:
  1. Rützler, Daniela & Sutter, Matthias & Kocher, Martin G. & Trautmann, Stefan T., 2011. "Impatience and Uncertainty: Experimental Decisions Predict Adolescents' Field Behavior," Annual Conference 2011 (Frankfurt, Main): The Order of the World Economy - Lessons from the Crisis 48720, Verein für Socialpolitik / German Economic Association.
  2. Han Bleichrodt & Rogier J. D. Potter van Loon & Kirsten I. M. Rohde & Peter P. Wakker, 2013. "A Criticism of Doyle's survey of time preference: A correction regarding the CRDI and CADI families," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 8(5), pages 630-631, September.
  3. Wojciech Rybicki, 2012. "Discounting and ideas of intergenerational equity and sustainability," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 1, pages 63-84.
  4. André Lapied & Olivier Renault, 2012. "An Investigation of Time Consistency for Subjective Discontinued Utility," AMSE Working Papers 1210, Aix-Marseille School of Economics, Marseille, France.
  5. Gerber, Anke & Rohde, Kirsten I.M., 2010. "Risk and preference reversals in intertemporal choice," Journal of Economic Behavior & Organization, Elsevier, vol. 76(3), pages 654-668, December.
  6. Eike B. Kroll & Bodo Vogt, 2008. "Loss Aversion for time: An experimental investigation of time preferences," FEMM Working Papers 08027, Otto-von-Guericke University Magdeburg, Faculty of Economics and Management.
  7. Mohammed Abdellaoui & Olivier l'Haridon & Corina Paraschiv, 2013. "Do Couples Discount Future Consequences Less than Individuals?," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201320, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  8. André Lapied & Olivier Renault, 2012. "A subjective discounted utility model," Economics Bulletin, AccessEcon, vol. 32(2), pages 1171-1179.
  9. Thomas Epper & Helga Fehr-Duda & Renate Schubert, 2011. "Energy-Using Durables: The Role of Time Discounting in Investment Decisions," IED Working paper 11-16, IED Institute for Environmental Decisions, ETH Zurich.
  10. Hammond, Peter J & Zank, Horst, 2013. "Rationality and Dynamic Consistency under Risk and Uncertainty," The Warwick Economics Research Paper Series (TWERPS) 1033, University of Warwick, Department of Economics.
  11. de-Paz, Albert & Marín-Solano, Jesús & Navas, Jorge, 2013. "A consumption–investment problem with heterogeneous discounting," Mathematical Social Sciences, Elsevier, vol. 66(3), pages 221-232.
  12. John R. Doyle, 2013. "Survey of time preference, delay discounting models," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 8(2), pages 116-135, March.
  13. Laurent Denant-Boèmont & Enrico Diecidue & Olivier L'Haridon, 2013. "Patience and Time Consistency in Collective Decisions," Economics Working Paper Archive (University of Rennes 1 & University of Caen) 201329, Center for Research in Economics and Management (CREM), University of Rennes 1, University of Caen and CNRS.
  14. Mohammed Abdellaoui & Han Bleichrodt & Olivier l’Haridon, 2013. "Sign-dependence in intertemporal choice," Journal of Risk and Uncertainty, Springer, vol. 47(3), pages 225-253, December.
  15. Anke Gerber & Kirsten I.M. Rohde, 2009. "Eliciting Discount Functions when Baseline Consumption changes over Time," Tinbergen Institute Discussion Papers 09-103/1, Tinbergen Institute, revised 24 Feb 2010.

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