{"title":"替代弹性、长期增长和收敛速度:总体框架","authors":"Manuel A. Gómez","doi":"10.1111/ijet.12408","DOIUrl":null,"url":null,"abstract":"<p>This paper studies the effect of factor substitution on long-run growth and the convergence speed in the one-sector endogenous-growth model. We consider a general production function that encompasses the most commonly used specifications as particular cases. For two economies with the same initial conditions and parameter values, including the baseline elasticity of substitution (EOS), the one with the higher asymptotic EOS has the higher long-run growth and convergence speed. If the asymptotic EOS is a nondecreasing function of its baseline value, an increase in the baseline EOS entails a higher long-run growth and convergence speed.</p>","PeriodicalId":44551,"journal":{"name":"International Journal of Economic Theory","volume":"20 3","pages":"352-370"},"PeriodicalIF":0.5000,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Elasticity of substitution, long-run growth, and convergence speed: A general framework\",\"authors\":\"Manuel A. Gómez\",\"doi\":\"10.1111/ijet.12408\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper studies the effect of factor substitution on long-run growth and the convergence speed in the one-sector endogenous-growth model. We consider a general production function that encompasses the most commonly used specifications as particular cases. For two economies with the same initial conditions and parameter values, including the baseline elasticity of substitution (EOS), the one with the higher asymptotic EOS has the higher long-run growth and convergence speed. If the asymptotic EOS is a nondecreasing function of its baseline value, an increase in the baseline EOS entails a higher long-run growth and convergence speed.</p>\",\"PeriodicalId\":44551,\"journal\":{\"name\":\"International Journal of Economic Theory\",\"volume\":\"20 3\",\"pages\":\"352-370\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-06-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Economic Theory\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1111/ijet.12408\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Economic Theory","FirstCategoryId":"96","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1111/ijet.12408","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了要素替代对一部门内生增长模型中长期增长和收敛速度的影响。我们考虑了一个一般生产函数,其中包含了最常用的特定情况。对于初始条件和参数值(包括基线替代弹性(EOS))相同的两个经济体来说,渐近 EOS 越高的经济体的长期增长和收敛速度越快。如果渐近替代弹性是其基线值的非递减函数,则基线替代弹性的增加会带来更高的长期增长和收敛速度。
Elasticity of substitution, long-run growth, and convergence speed: A general framework
This paper studies the effect of factor substitution on long-run growth and the convergence speed in the one-sector endogenous-growth model. We consider a general production function that encompasses the most commonly used specifications as particular cases. For two economies with the same initial conditions and parameter values, including the baseline elasticity of substitution (EOS), the one with the higher asymptotic EOS has the higher long-run growth and convergence speed. If the asymptotic EOS is a nondecreasing function of its baseline value, an increase in the baseline EOS entails a higher long-run growth and convergence speed.