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成本约束下不可再生资源开采微分对策问题研究

Research on "Oligopoly Extraction of a Nonrenewable Natural Resource Under The Restriction of Cost Based on Differential Game
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摘要 研究开采成本等重要因素对不可再生资源开采的影响.假定有N个厂商对不可再生资源进行开采,其面临的市场需求价格弹性为常数,开采成本是开采量的线性函数.利用微分对策理论,分析该寡头市场中各个厂商的均衡开采策略.研究表明,开采成本对是否开采、开采速度、结束时点等有重要影响.同时,本文还与某些经典论文进行了简要比较. This article analyzes the effects of several important facters (e.g. extracting cost) to the oligopoly extraction rate of a nonrenewable natural resource. We asume that there are N firms extracting the resource of constant elasticity and a linear extracting cost function. We acquire the each firm's feedback equilibrium strategy of this oligopoly market model based on differential game. And we get the conclusions that the extracting cost has a crucial effect to the entry and exit decisions, the extracting rate and the terminal point. At last, we get a brief comparation to some classic papers.
作者 张荣 翟铭坤
出处 《数学的实践与认识》 CSCD 北大核心 2012年第1期52-58,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(71071172)
关键词 不可再生资源 开采成本 微分对策 闭环纳什均衡 nonrenewable natural resource extracting cost differential game feedbackNash equilibrium
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