Optimal Consumption Planning in a Polluted Environment
Optimal Consumption Planning in a Polluted Environment
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污染环境下的最优消费规划
DOI：
10.1111/j.1475-4932.1973.tb01954.x
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发表时间：
1973
期刊：
影响因子：
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通讯作者：
B. A. Forster
中科院分区：
文献类型：
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作者：
B. A. Forster
本文的目的是探讨污染和最佳经济活动的核心问题。Keeler、Spence和Zeckhauser [3]、Plourde [4]和Smith [5]最近讨论了这一问题。本文件在精神上最接近普劳德。我们将扩展该文件的工作，以审查与限制相坐标的控制问题。这个问题很重要，因为它提出了所有污染都被清理的情况。我们希望在没有增长和生产决策问题的情况下，把重点放在消费与污染的权衡上。社会从消费中获得效用，但在消费产出中产生污染。通过将产出用于污染控制，可以减少污染量。中央计划者的问题是确定最优消费计划。该模型在第1节中正式介绍。第2节使用庞特里亚金最大值原理来推导最优解。在第3节中，我们考虑模型参数的变化对平衡值的影响。第4节重新审视了第2节的问题，但改变了污染的效用函数。第五节讨论。
The purpose of this paper is to examine the central issues of pollution and optimal economic activity. Bspects of this problem hare been discussed recently by Keeler, Spence and Zeckhauser [3], Plourde [4], and Smith [5]. The present paper is closest in spirit to Plourde. We shall extend the work of that paper to examine the control problem with restricted phase co-ordinates. This problem is important since it sets out the case where all of the pollution is cleaned up. We want to focus mlely on the consumption-pollution trade-off in the absence of problems of growth and production decisions. The society derives utility from consumption but in consuming output pollution is generated. By devoting output to pollution control, the amount of pollution may be reduced. The problem for the central planner is to determine the optimal consumption plan. The model is presented formally in Section 1. Pontryagin's Maximum Principle is used in Section 2 to derive the optimal solution. In Section 3 we consider the effects on equilibrium values of changes in the parameters of the model. Section 4 reexamines the problem of Section 2 but with a change in the &utility function of pollution. Section 5 BumzI18pize9 the discussion.