AM  Vol.4 No.3 , March 2013
The q-Exponential Social Discounting Functions of Gain and Loss
Author(s) Taiki Takahashi*
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 assessing the points of subjective equality (indifference points) at seven social distances. We observed that gain was more steeply social-discounted than loss. Usefulness of the q-exponential social discounting model in social physics, econophysics, and cultural neuroeconomics are discussed.


Cite this paper
T. Takahashi, "The q-Exponential Social Discounting Functions of Gain and Loss," Applied Mathematics, Vol. 4 No. 3, 2013, pp. 445-448. doi: 10.4236/am.2013.43066.
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