A mathematical model of delay discounting with trait and state impulsivity
| Autor: | Shukla, Shanu, Bhattacharyya, Trambak |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Existing mathematical models of delay discounting consider impulsivity as a mono-dimensional entity. However, the present article derives a novel mathematical model of delay discounting involving its bi-dimensional characteristic. This new mathematical model, named the Extended Effective Exponential Model or E$^3$M, considers impulsivity as a variable represented by two positive and fluctuating quantities: trait and state impulsivity. To derive the model, the superstatistics method, which has been used to describe fluctuating physical systems like a thermal plasma, has been adapted. The model successfully describes the results of the existing studies used in the paper and indicates a dominance of the state dimension among the participants of the studies. Comment: 12 pages, 13 figures |
| Databáze: | arXiv |
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