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Indeterminacy and nonlinear dynamics in an OLG growth model with endogenous labour supply and inherited tastes

机译:具有内生劳动力供给和遗传品味的OLG增长模型中的不确定性和非线性动力学

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摘要

This study analyses the dynamics of a two-dimensional overlapping generations economy with endogenous labour supply à la Reichlin (1986) and aspirations, i.e. effective consumption by individuals of the current generation depends on the standard of living (based on consumption experience) of those that belong to the previous generation. We show that the relative importance of aspirations in utility is responsible for the existence of either one (normalised) steady state or two steady states. In particular, when the relative degree of aspiration is fairly high, the supply of labour becomes higher than those corresponding to the normalised steady state because individuals want to increase the amount of time spent at work when they are young in order to increase consumption possibilities when they are old, since the relative importance of past consumption is high in such a case. As regards local stability, the normalised steady state can be determinate or indeterminate and can undergo either a transcritical bifurcation or supercritical flip bifurcation depending on the intensity of the taste externality. Moreover, some interesting global dynamic properties emerge: indeed, when the relative importance of aspirations is strong enough, cyclical or quasi-cyclical behaviour and/or coexistence of attractors may occur. In particular, this last phenomena may cause global indeterminacy even if the stationary equilibria are locally determinate.
机译:这项研究分析了具有内生劳动力供给的二维重叠世代经济的动态(la Reichlin,1986年)和理想,即当前一代人的有效消费取决于那些人的生活水平(基于消费经验)。属于上一代。我们表明,愿望在效用中的相对重要性是导致一个(标准化)稳态或两个稳态存在的原因。特别是,当相对抽吸程度很高时,劳动力供给变得高于对应于正常稳态的劳动力供给,因为个人希望增加年轻时在工作上花费的时间,以便增加消费时的可能性。它们很老,因为在这种情况下过去消费的相对重要性很高。关于局部稳定性,归一化的稳态可以是确定的或不确定的,并且取决于味道外部性的强度,可以经历跨临界分叉或超临界翻转叉分叉。此外,还出现了一些有趣的全局动态特性:实际上,当愿望的相对重要性足够强时​​,可能会发生周期性或准周期性行为和/或吸引子共存。特别是,即使静态平衡是局部确定的,后一种现象也可能导致全局不确定性。

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  • 作者

    Gori Luca; Sodini Mauro;

  • 作者单位
  • 年度 2012
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  • 原文格式 PDF
  • 正文语种 {"code":"en","name":"English","id":9}
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