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T. Takahashi, “Tsallis’s Non-Extensive Free Energy as a Subjective Value of an Uncertain Reward,” Physica A: Statistical Mechanics and Its Applications, Vol. 388, No. 5, 2009, pp.715-719.

has been cited by the following article:

• TITLE: The q-Exponential Social Discounting Functions of Gain and Loss

  AUTHORS: Taiki Takahashi

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

  JOURNAL NAME: Applied Mathematics, Vol.4 No.3, March 21, 2013

  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.