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Complementarities, costly investment and multiple equilibria in a one-sector endogenous growth model

机译:一部门内生增长模型中的互补性,昂贵的投资和多重均衡

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摘要

In this paper we develop a multiple equilibria one-sector R&D-based growth model, in which the key aspects are the assumption of complementarities between capitalgoods in the production function and the assumption of costly investment in capital.This second assumption is new to the R&D-based literature.The equilibrium solutions are obtained when the Preferences curve, which mirrorsconsumers’ savings decisions, and the Technology curve, which represents equilibriaon the production side, cross. The combination of the two key assumptions producesa non-linear Technology curve, which consequently crosses the Preferences curve morethan once, thus generating multiple equilibria. A numerical solutions exercise obtainstwo equilibria. Application of the stability under learning criterion allows for theidentification of the two equilibria as stable. Expectations can lead the economy toeither the equilibrium characterised by high-growth and high-interest rates, or to theequilibrium characterised by low-growth and low-interest rates.Hence, with this model, we wish to contribute to endogenous growth literature byproviding a mechanism to explain how an economy can experience multiple equilibriasituations.
机译:在本文中,我们建立了一个基于多均衡,一部门研发的增长模型,其中关键方面是生产功能中的资本货物之间的互补性假设和资本中的昂贵投资的假设。第二个假设对于研发而言是新的。基于基础的文献。当反映消费者储蓄决策的``偏好''曲线与代表生产方均衡的``技术''曲线交叉时,便获得了均衡解。这两个关键假设的组合产生了一条非线性的技术曲线,因此它与偏好曲线的交叉不止一次,因此产生了多个均衡。数值求解练习获得两个平衡点。在学习准则下应用稳定性允许将两个平衡确定为稳定。期望可以使经济达到以高增长和高利率​​为特征的均衡,或以低增长和低利率为特征的均衡。因此,我们希望借助这种模型,通过提供一种机制为内生增长文献做出贡献解释经济如何经历多种均衡。

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