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Psychophysics of time perception and intertemporal choice models

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  • Takahashi, Taiki
  • Oono, Hidemi
  • Radford, Mark H.B.

Abstract

Intertemporal choice and psychophysics of time perception have been attracting attention in econophysics and neuroeconomics. Several models have been proposed for intertemporal choice: exponential discounting, general hyperbolic discounting (exponential discounting with logarithmic time perception of the Weber–Fechner law, a q-exponential discount model based on Tsallis’s statistics), simple hyperbolic discounting, and Stevens’ power law–exponential discounting (exponential discounting with Stevens’ power time perception). In order to examine the fitness of the models for behavioral data, we estimated the parameters and AICc (Akaike Information Criterion with small sample correction) of the intertemporal choice models by assessing the points of subjective equality (indifference points) at seven delays. Our results have shown that the orders of the goodness-of-fit for both group and individual data were [Weber–Fechner discounting (general hyperbola) > Stevens’ power law discounting > Simple hyperbolic discounting > Exponential discounting], indicating that human time perception in intertemporal choice may follow the Weber–Fechner law. Indications of the results for neuropsychopharmacological treatments of addiction and biophysical processing underlying temporal discounting and time perception are discussed.

Suggested Citation

  • Takahashi, Taiki & Oono, Hidemi & Radford, Mark H.B., 2008. "Psychophysics of time perception and intertemporal choice models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 2066-2074.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:8:p:2066-2074
    DOI: 10.1016/j.physa.2007.11.047
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    References listed on IDEAS

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    1. Gustav Feichtinger & Cars Hommes & Alexandra Milik, 1997. "Chaotic consumption patterns in a simple2-D addiction model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 147-173.
    2. Cajueiro, Daniel O., 2006. "A note on the relevance of the q-exponential function in the context of intertemporal choices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 385-388.
    3. Takahashi, Taiki, 2007. "A comparison of intertemporal choices for oneself versus someone else based on Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 637-644.
    4. Takahashi, Taiki & Oono, Hidemi & Radford, Mark H.B., 2007. "Empirical estimation of consistency parameter in intertemporal choice based on Tsallis’ statistics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 381(C), pages 338-342.
    5. Read, Daniel, 2001. "Is Time-Discounting Hyperbolic or Subadditive?," Journal of Risk and Uncertainty, Springer, vol. 23(1), pages 5-32, July.
    6. Myerson, Joel & Green, Leonard & Scott Hanson, J. & Holt, Daniel D. & Estle, Sara J., 2003. "Discounting delayed and probabilistic rewards: Processes and traits," Journal of Economic Psychology, Elsevier, vol. 24(5), pages 619-635, October.
    7. 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.
    8. Becker, Gary S & Murphy, Kevin M, 1988. "A Theory of Rational Addiction," Journal of Political Economy, University of Chicago Press, vol. 96(4), pages 675-700, August.
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