Non-hyperbolic time inconsistency

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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.

References (28)

  • Gary Gigliotti et al.

    Analysis of intertemporal choice: A new framework and experimental results

    Theory Dec.

    (2004)
  • Glenn W. Harrison et al.

    Estimating individual discount rates in Denmark: A field experiment

    Amer. Econ. Rev.

    (2002)
  • Charles M. Harvey

    Value functions for infinite-period planning

    Manage. Sci.

    (1986)
  • Charles M. Harvey

    Proportional discounting of future costs and benefits

    Math. Operations Res.

    (1995)
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    Han Bleichrodt's research was made possible through a VICI research grant, and Kirsten Rohde's research through a VENI research grant, both from the Netherlands Organization for Scientific Research (NWO).

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