The *q*-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 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.

Keywords

Social Discounting; Altruism; Neuroeconomics; Econophysics; Sociophysics; Tsallis’ Statistics

Social Discounting; Altruism; Neuroeconomics; Econophysics; Sociophysics; Tsallis’ Statistics

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.

T. Takahashi, "The

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