2013
DOI: 10.4236/am.2013.43066
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The <i>q</i>-Exponential Social Discounting Functions of Gain and Loss

Abstract: Social discounting has been attracting attention in behavioral psychology, econophysics, and neuroeconomics. Several mathematical models have been proposed for social discounting; exponential discounting, hyperbolic discounting, a q-exponential discounting model based on Tsallis' statistics. In order to experimentally examine the mathematical characteristics of the q-exponential social discounting models for gain and loss in humans, we estimated the parameters of the q-exponential social discounting models by … Show more

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Cited by 15 publications
(30 citation statements)
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“…Whereas previous research suggested the usefulness of the q -exponential model ( Takahashi, 2013 ), the present research indicated the usefulness of the hyperbolic with exponent model cross-culturally. This result advances our understanding of a generalized mathematical model accounting for social discounting behaviors.…”
Section: Discussioncontrasting
confidence: 93%
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“…Whereas previous research suggested the usefulness of the q -exponential model ( Takahashi, 2013 ), the present research indicated the usefulness of the hyperbolic with exponent model cross-culturally. This result advances our understanding of a generalized mathematical model accounting for social discounting behaviors.…”
Section: Discussioncontrasting
confidence: 93%
“…To verify the validity of the current finding, the usefulness of the hyperbolic with exponent model should be examined further in the future. That said, we should hasten to add that consistent with the findings by Takahashi (2013) , the hyperbolic with exponent model and the q -exponential model in this research suggest interpersonal inconsistency in social discounting regardless of cultures and frames, which is an important feature for understanding the nature of an individual’s social choice.…”
Section: Discussionsupporting
confidence: 79%
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“…Building on his 2010 paper, Takahashi [23] tentatively asserts that q-exponential interpersonal discounting functions are the most appropriate to interpersonal discounting.…”
Section: Overview Of Interpersonal Discounting Researchmentioning
confidence: 99%