A Tsallis-like effective exponential delay discounting model and its implications

TL;DR

This paper introduces a new exponential delay discounting model that accounts for impulsivity fluctuations, linking it to the Tsallis distribution and providing insights into social system behaviors.

Contribution

It presents a novel exponential model of delay discounting that is dual to the Tsallis model, relating parameters to impulsivity's mean and variance.

Findings

Model relates impulsivity fluctuations to delay discounting behavior.

Establishes a connection between the model parameters and impulsivity statistics.

Provides a new perspective on the origin of Tsallis distribution in social systems.

Abstract

We propose an effective exponential model of delay discounting considering fluctuation in impulsivity. This model is seen to be dual to the two-parameter Tsallis model of delay discounting proposed by Takahashi in 2007. We demonstrate that the parameters of the model can be related to the mean and the variance of impulsivity. Our findings provide an intuitive way to explore the origin of the Tsallis distribution in a social system.