Modeling the inconsistency in intertemporal choice: the generalized Weibull discount function and its extension |
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Authors: | Salvador Cruz Rambaud Isabel González Fernández " target="_blank">Viviana Ventre |
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Institution: | 1.Departamento de Economía y Empresa,Universidad de Almería,Almería,Spain;2.Dipartimento di Matematica e Fisica,Università della Campania “Luigi Vanvitelli”,Caserta,Italy |
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Abstract: | The aim of this paper is to obtain the family of the so-called generalized Weibull discount functions, introduced by Takeuchi (Game Econ Behav 71:456–478, 2011), by deforming the q-exponential discount function by means of the Stevens’ “power” law. The obtained discount functions exhibit different degrees of inconsistency and so they can be classified according to the value of their characteristic deforming parameters. Moreover, we extend the construction of the generalized Weibull discount function starting from any discount function instead of the q-exponential discounting. In any case, the value of the parameter \(\theta \) of these new discount functions is extended from (0, 1] to the union of the intervals \((-\,\infty ,0) \cup (0,+\,\infty )\). |
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