Abstract: It is very significant to enhance the cumulated output for solving the contravention between resource lack and resource low efficiency extraction. On the basis of increasing cost with cumulated output, which is a new assumption, the paper, after modifying the Hotelling model and using the optimal control method, researches the relation between ad valorem tax and cumulated output of exhaustible resources under monopoly. It is shown that the cumulated output of monopoly is lower than the cumulated output under perfect competition when the ad valorem tax rate equals zero. And the cumulated output of monopoly decreases further more when the ad valorem tax rate is more than zero. However, the cumulated output of monopoly increases when the ad valorem tax rate is less than zero.

Key words: exhaustible resources, cumulated output, optimal control method, ad valorem tax

摘要： 提高可耗竭性资源累积开采量对解决我国资源短缺和资源开采效率低下并存的问题具有重要的意义。在增加了开采成本随累积开采量递增的假设下,本文首先对Hotelling模型做了改进。其次,运用最优控制方法,以完全竞争市场为比较基准,本文研究了垄断市场下从价税与累积开采量之间的关系。研究发现:第一,当从价税税率为零时,垄断市场下的累积开采量低于完全竞争市场下的累积开采量。第二,当从价税税率大于零时,征收从价税进一步降低了垄断市场下的累积开采量。第三,当从价税税率小于零时,征收从价税有利于提高垄断市场下的累积开采量。

关键词: 可耗竭性资源, 累积开采量, 最优控制, 从价税