Applications of Pontryagin’s Maximum Principle to Economics

Applications of Pontryagin’s Maximum Principle to Economics
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庞特里亚金极大值原理在经济学中的应用

DOI:
10.1007/978-3-642-46196-5_12
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发表时间:
1968
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影响因子:
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通讯作者:
Karl Shell
Karl Shell
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文献类型:
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作者:
Karl Shell

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第一讲用线性目标泛函的单部门模型说明消费最优增长问题。经济学强调对作为社会需求价格的基本变量的解释和某些“精确收费公路定理”的证明。数学,数学上强调的问题,应用最大值原理需要研究动力系统与非唯一流。第二讲:两部门模型。非线性目标泛函。“不精确收费公路定理”。
Lecture I The problem of consumtion-optimal growth illustrated by the one-sector model with linear objective functional. Economic emphasis on the interpretation of a~ ti liary variables as social demand prices and proof of certain" exact turnpike theorems". Math, ematical emphasis on problems where application of the Maximum Principle requires the study of dynamical systems with nonunique flows. Lecture II: The two-sector model. The nonlinear objective functional." Inexact turnpike theorems".