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污染约束下可耗竭资源最优消费模型研究
Study on the optimal depletion model of exhaustible resources under pollution constraint
假设完全竞争市场条件下, 运用最优控制理论, 以社会福利最大化为目标, 将污染因素充分体现在效用函数及约束条件中,构建了污染约束下可耗竭资源最优消费模型并给出具体解析解. 结果表明: 消费函数是初始资源储量与初始污染存量比值及初始污染存量与初始资本投入比值的减函数; 在一定条件下, 消费量最大值与其初始值比值是贴现值的减函数, 该比值也是初始资源储量与初始资本投入比值及初始污染存量与初始资本投入比值的增函数. 由此得出结论: 污染的初始值较高会使得消费减少, 遏制经济的增长, 这说明从居民消费角度看, 经济增长与治理污染并不相悖, 而是相辅相成的. 该结论对促进我国增加治理污染的投入有积极的作用.
With assumption of the completely competitive markets, adopting optimal control theory, aiming at maximal social welfare, and indicating the pollution factors fully in utility function and constraint conditions, the optimal depletion model of exhaustible resources under pollution constraint was established, and the specific analytical solution was presented. The results show that: the consumption function is a decreasing function of the initial stock of resources and the initial stock of pollution ratio, and the initial stock of pollution and the initial stock of capital ratio. Under certain conditions, the consumption peak to the initial consumption is a decreasing function of the discounted value, it is also an increasing function of the initial stock of resources and the initial stock of pollution ratio, and the initial stock of pollution and the initial stock of capital ratio. Consequently, the conclusion is achieved that: high initial value of pollution can lead to reduced consumption and rein in economic growth, which also means that from the household's consuming point of view, the relationship between economic growth and pollution is not absolutely contradictive but complementary each other. The conclusion has the positive effect on promoting China's government to increase the investment in pollution control.
可耗竭资源 / 最优控制 / 最优消费模型 / 污染约束 {{custom_keyword}} /
exhaustible resources / the optimal control / the optimal depletion model / pollution constraints {{custom_keyword}} /
[1] Hotelling H. The economics of exhaustible resources[J].Journal of Political Economy, 1931, 39(2): 137-175.
[2] Dasgupta P, Heal G. The optimal depletion of exhaustible resources[J]. The Review of Economic Studies, 1974, 41: 3-28.
[3] Solow R M. Intergenerational equity and exhaustible resources[J]. The Review of Economic Studies, 1974, 41: 29-45.
[4] Stiglitz J. Growth with exhaustible natural resources: Efficient and optimal growth paths[J]. The Review of Economic Studies, 1974, 41: 123-137.
[5] 杨海生.矿产资源及不确定条件下的最优开发[D].广州: 中山大学, 2006. Yang Haisheng. Mineral resources and the optimal exploration under uncertainty[D]. Guangzhou: Sun Yat-Sen University, 2006.
[6] Benchekroun H, Withagen C. The optimal depletion of exhaustible resources: A complete characterization[J]. Resource and Energy Economics, 2011, 33(3): 612-636.
[7] Forster B A. Optimal consumption planning in a polluted environment[J]. The Economic Record, 1973, 49(4): 534-545.
[8] Plourde C G. A model of waste accumulation and disposal[J]. Canadian Journal of Economics, 1972, 5(1): 119-125.
[9] López R. The environment as a factor of production: The effects of trade liberalization[J]. Journal of Environmental Economics and Management, 1994, 27(2): 163-184.
[10] Stokey N L. Are there limits to growth?[J]. International Economic Review, 1998, 39(1): 1-31.
[11] Copeland B, Taylor S. Trade, growth, and the environment[J]. Journal of Economic Literature, 2004, 42: 7-71.
[12] Arrow K, Dasgupta P, Goulder L H, et al. Sustainability and the measurement of wealth[R]. NBER Working Paper No.16599, 2010.
[13] Acemoglu D P, Aghion L B, Hemous D. The environment and directed technological change[J]. American Economic Review, 2012, 102: 131-166.
[14] Kamien M I, Schwartz N L. The role of common property resources in optimal planning models with exhaustible resources[M]//Smith V K, Krutilla J V. Explorations in Natural Resource Economics. The Johns Hopkins University Press, Baltimore, MD: for Resources for the Future, 1982.
[15] KrautKraemer J A. Optimal growth, resource amenities, and the preservation of natural environments[J]. Review of Economic Studies, 1985, 52(1): 153-169.
[16] Lyon K S, Lee D M. Nonrenewable resource extractions with a pollution side effect: A comparative dynamic analysis[J]. Natural Resource Modeling, 2004, 17(4): 377-392.
[17] Silva S, Soares I, Afonso O. Economic and environmental effects under resource scarcity and substitution between renewable and non-renewable resources[J]. Energy Policy, 2013, 54: 113-124.
[18] 张金锁.矿物资源资产估价方法研究[D].西安: 西安交通大学, 2001. Zhang Jinsuo. Research on the method of valuation of mineral resource assets[D]. Xi'an: Xi'an Jiaotong University, 2001.
[19] 魏晓平.矿产资源最适耗竭经济分析[J].中国管理科学, 2002, 10(5): 78-81. Wei Xiaoping. Economic analysis of the optimal depletion of mineral resources[J].Chinese Journal of Management Science, 2002, 10(5): 78-81.
[20] 杨海生, 贾佳, 周永章.不确定条件下环境政策的时机选择[J]. 数量经济技术经济研究, 2006, 23(1): 69-76. Yang Haisheng, Jia Jia, Zhou Yongzhang. The timing chosen of environmental policy under uncertainty[J]. The Journal of Quantitative & Technical Economics, 2006, 23(1): 69-76.
[21] 葛世龙, 周德群, 陈洪涛.储量不确定对可耗竭资源优化开采的影响研究[J]. 中国管理科学, 2008, 16(6): 137-141. Ge Shilong, Zhou Dequn, Chen Hongtao. The effects of mining reserves to optimization exploration of exhaustible resource under uncertainty[J]. Chinese Journal of Management Science, 2008, 16(6): 137-141.
[22] 王喜莲, 陈亚军.煤炭开采的环境影响及模型探讨——以榆林为例[J]. 能源技术与管理, 2007(5): 94-96. Wang Xilian, Chen Yajun. The environmental impact of coal mining and modeling —— Taking Yulin as an example[J]. Energy Technology and Management, 2007(5): 94-96.
[23] 王海建.耗竭性资源、R&D 与内生经济增长模型[J].系统工程理论方法应用, 1999(3): 38-42. Wang Haijian. Exhaustible resources, R&D and endogenous growth model[J]. Systems Engineering —— Theory Methodology Applications, 1999(3): 38-42.
[24] 彭水军. 自然资源耗竭与经济可持续增长: 基于四部门内生增长模型分析[J].管理工程学报, 2007, 21(4): 417-421. Peng Shuijun. Natural resource depletion and sustainable economic growth based on a four-sector endogenous growth model[J]. Journal of Industrial Engineering & Engineering Management, 2007, 21(4): 417-421.
[25] 于渤, 黎永亮, 迟春洁.考虑能源耗竭, 污染治理的经济可持续增长内生模型[J]. 管理科学学报, 2006, 9(4): 12-17.Yu Bo, Li Yongliang, Chi Chunjie. Endogenous model with exhaustible energy, pollution abatement spending and sustain-able growth induced[J]. Journal of Management Science, 2006, 9(4):12-17.
[26] 许士春, 何正霞, 魏晓平.资源消费、污染控制下经济可持续最优增长路径[J]. 管理科学学报, 2010, 13(1): 20-30.Xu Shichun, He Zhengxia, Wei Xiaoping. The sustainable economic growth path under natural resource depletion and pollution controlling[J]. Journal of Management Science, 2010, 13(1): 20-30.
[27] Lucas R E. On the mechanics of economic development[J].Journal of Monetary Economics, 1988, 22(1): 3-42.
[28] Boucekkine R, Ruiz-Tamarit J. Special functions of the study of economics dynamics: The case of the Lucas-Uzawa model[J].Journal of Mathematical Economics, 2008, 44(1): 33-54.
[29] Boucekkine R, Martinez B, Ruiz-Tamarit J. Global dynamics and imbalance effects in the Lucas-Uzawa model[J].International Journal of Economic Theory, 2008, 4(4): 503-518.
[30] Perez-Barahona A. Nonrenewable energy resources as input for physical capital accumulation: A new approach[J].Macroeconomic Dynamics, 2011, 15(1): 1-30.
[31] d'Arge R C. Essay on economic growth and environmental quality[J]. Swedish Journal of Economics, 1971, 73(1): 25-41.
[32] Smith V L. Control theory applied to natural and environmental resources: An exposition[J]. Journal of Environmental Economics and Management, 1977, 4(1): 1-24.
[33] Forster B A. Optimal pollution control with a nonconstant exponential rate of decay[J]. Journal of Environmental Economics and Management, 1975, 2(1): 1-6.
[34] Forster B A. Optimal energy use in a polluted environment[J]. Journal of Environmental Economics and Management, 1980, 7(4): 321-333.
国家自然科学基金(71273206, 71273207); 陕西省(高校)哲学社会科学重点研究基地科学研究计划项目(12JZ018); 陕西省特色学科建设项目
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