Abstract
Intertemporal choice has drawn attention in econophysics and neuroeconomics. Both impulsivity and inconsistency in intertemporal choice can be parametrized with a Tsallis’s statistics-based q -exponential discount model. Although a recent neuroeconomic study has proposed a dual-self discounting model (a generalized quasi-hyperbolic discounting), no study to date has examined the relationship between the q -exponential and quasi-hyperbolic models. We empirically estimated the inconsistency parameter 1 − q in the q -exponential discount function and the parameter of an internal conflict between dual selves in intertemporal choice by humans. We observed that (i) the inconsistency parameter in the q -exponential model is positively related to a conflict between selves within a subject and (ii) q -exponential discounting better fits group data, while quasi-hyperbolic discounting better fits individual data. Our results indicate that (i) inconsistent intertemporal decision-makers may experience strong internal conflict during intertemporal choice behavior, and (ii) the q -exponential and the quasi-hyperbolic discount models should respectively be utilized for group and individual data. The usefulness of the q -exponential and the quasi-hyperbolic in studies of addiction and economic behavior is discussed.
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