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A Tsallis-like effective exponential delay discounting model and its implications

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  • Bhattacharyya, Trambak
  • Shukla, Shanu
  • Pandey, Ranu

Abstract

We propose an effective exponential model of delay discounting considering fluctuation in impulsivity. This model is seen to be dual to the two-parameter Tsallis model of delay discounting proposed by Takahashi in 2007 (Ref. Takahashi, 2007). We demonstrate that the parameters of the model can be related to the mean and the variance of impulsivity. Our findings provide an intuitive way to explore the origin of the Tsallis distribution in a social system.

Suggested Citation

  • Bhattacharyya, Trambak & Shukla, Shanu & Pandey, Ranu, 2022. "A Tsallis-like effective exponential delay discounting model and its implications," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s037843712200543x
    DOI: 10.1016/j.physa.2022.127836
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    References listed on IDEAS

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    1. V. I. Yukalov & D. Sornette, 2009. "Physics of risk and uncertainty in quantum decision making," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(4), pages 533-548, October.
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    4. 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.
    5. West, B.J. & Grigolini, P., 2010. "A psychophysical model of decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3580-3587.
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    Cited by:

    1. Yoshioka, Hidekazu & Yoshioka, Yumi, 2024. "Generalized divergences for statistical evaluation of uncertainty in long-memory processes," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).

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