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作 者:李婧雅 费为银[1] 梁勇[1] LI Jingya;FEI Weiyin;LIANG Yong(School of Mathematics,Physics and Finance,Anhui Polytechnic University,Wuhu 241000,China)
机构地区:[1]安徽工程大学数理与金融学院,安徽芜湖241000
出 处:《安徽工程大学学报》2024年第2期71-77,共7页Journal of Anhui Polytechnic University
基 金:国家自然科学基金资助项目(62273003)。
摘 要:全球变暖导致自然灾害频发,绿色技术水平影响社会最优资源配置。首先建立考虑绿色技术水平、碳减排、气候灾害等的动态模型,利用动态优化理论推导出价值函数满足的哈密尔顿-雅克比-贝尔曼(HJB)方程。通过数值模拟找到了在已有的资本累积和资源约束下使得代表性家庭预期效用最大化的最优资源配置策略,并且得出结论:绿色技术的进步虽然对投资和公司价值有负面影响,也使得经济增长增速减缓,但是它降低了碳减排成本和减灾成本,同时刺激了消费,使社会总消费增加。Global warming leads to frequent natural disasters,and the level of green technology affects the optimal allocation of social resources.Firstly,a dynamic model considering the level of green technology,carbon emission reduction,climate disasters and so on is established.The Hamilton-Jacobi-Bellman(HJB)equation for the value function is derived using dynamic optimization theory.Through numerical simulation,the optimal resource allocation that maximizes the expected utility of representative family in the social planner problem is found.It is concluded that although the progress of green technology has a slight negative impact on investment and company value and also slows down economic growth,it reduces the cost of carbon emission reduction and mitigation spending.It also stimulates consumption and total social consumption increases.
分 类 号:O211.6[理学—概率论与数理统计] F830.9[理学—数学]
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