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The <i>q</i>-Exponential Social Discounting Functions of Gain and Loss

The <i>q</i>-Exponential Social Discounting Functions of Gain and Loss

作     者:Taiki Takahashi 

作者机构:Hokkaido University Sapporo Japan 

出 版 物:《Applied Mathematics》 (应用数学(英文))

年 卷 期:2013年第4卷第3期

页      面:445-448页

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主  题:Social Discounting Altruism Neuroeconomics Econophysics Sociophysics Tsallis’ Statistics 

摘      要: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.

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