کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7374868 | 1480065 | 2018 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The amount-based deformation of the q-exponential discount function: A joint analysis of delay and magnitude effects
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The amount-based deformation of the q-exponential discount function: A joint analysis of delay and magnitude effects The amount-based deformation of the q-exponential discount function: A joint analysis of delay and magnitude effects](/preview/png/7374868.png)
چکیده انگلیسی
The magnitude effect is one of the main anomalies shown by people in the context of intertemporal choice. Thus, the main objective of this paper is to provide a general procedure to obtain a general discount function able to explain this paradox. By this methodology, we will to mathematically deform time in a discount function, more specifically to multiply the variable “time” by a certain power of the reward amount. However, in most cases, the existing literature presents some ad hoc discounting models to describe a unique anomaly. In order to solve this limitation, we will apply the former methodology to the q-exponential discount function introduced by Cajueiro (2006). In this way, we will obtain a mathematical setting able to jointly explain the delay and the magnitude effects, depending on the values of parameters q and α involved in the model. Moreover, another advantage of this amount-based q-exponential function is its convergence to the time-deformed exponential, hyperbolic and linear discounting, depending on the value of q in the joint interval (ââ,1)âª(1,+â).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 508, 15 October 2018, Pages 788-796
Journal: Physica A: Statistical Mechanics and its Applications - Volume 508, 15 October 2018, Pages 788-796
نویسندگان
Salvador Cruz Rambaud, Isabel MarÃa Parra Oller, MarÃa del Carmen Valls MartÃnez,