{"title":"Effects of wariness on economic growth in overlapping generations models","authors":"Hai Ha Pham , Ngoc-Sang Pham","doi":"10.1016/j.jmateco.2024.103060","DOIUrl":null,"url":null,"abstract":"<div><div>We introduce the notion of wariness, defined as a concern for the lowest lifetime utility, in overlapping generations models and explore its effects on economic growth. In an exogenous growth model, under standard assumptions, we prove that the capital stock converges to a steady state. We then explore conditions under which this steady state is increasing (or decreasing) in the wariness level. We also provide a necessary and sufficient condition for the dynamic efficiency of the intertemporal equilibrium. In endogenous growth models (à la Romer (1986) or à la Barro (1990)), we show that the growth rate of capital stock per capita in the economy with wariness is lower (higher, respectively) than that in the economy without wariness if and only if the capital return is high (low, respectively).</div></div>","PeriodicalId":50145,"journal":{"name":"Journal of Mathematical Economics","volume":"115 ","pages":"Article 103060"},"PeriodicalIF":1.0000,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304406824001204","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
引用次数: 0
Abstract
We introduce the notion of wariness, defined as a concern for the lowest lifetime utility, in overlapping generations models and explore its effects on economic growth. In an exogenous growth model, under standard assumptions, we prove that the capital stock converges to a steady state. We then explore conditions under which this steady state is increasing (or decreasing) in the wariness level. We also provide a necessary and sufficient condition for the dynamic efficiency of the intertemporal equilibrium. In endogenous growth models (à la Romer (1986) or à la Barro (1990)), we show that the growth rate of capital stock per capita in the economy with wariness is lower (higher, respectively) than that in the economy without wariness if and only if the capital return is high (low, respectively).
我们在世代重叠模型中引入了 "戒心 "这一概念,并探讨了它对经济增长的影响。"戒心 "的定义是对终生最低效用的关注。在一个外生增长模型中,根据标准假设,我们证明资本存量会趋于稳定状态。然后,我们探讨了该稳态随战备水平的增加(或减少)而增加(或减少)的条件。我们还为跨期均衡的动态效率提供了必要条件和充分条件。在内生增长模型(à la Romer (1986) 或 à la Barro (1990))中,我们表明,如果且只有当资本回报率高(分别为低)时,有戒备的经济中的人均资本存量增长率才会低于(分别为高)无戒备的经济中的人均资本存量增长率。
期刊介绍:
The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.