The authors present their recently developed complete version of the Pontryagin maximum principle for a class of infinite-horizon optimal control problems arising in economics. The main distinguishing feature of the result is that the adjoint variable is explicitly specified by a formula analogous to the Cauchy formula for solutions of linear differential systems. In certain situations this formula implies the ‘standard’ transversality conditions at infinity. Moreover, it can serve as an alternative to them. Examples demonstrate the advantages of the proposed version of the maximum principle. In particular, its applications are considered to Halkin’s example, to Ramsey’s optimal economic growth model, and to a basic model for optimal extraction of a non-renewable resource. Also presented is an economic interpretation of the characterization obtained for the adjoint variable. Bibliography: 62 titles.

中文翻译：

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经济学中无限水平最优控制问题的最大原理的另一种观点

作者介绍了他们最近开发的庞特里亚金极大值原理的完整版本，用于经济学中出现的一类无限水平最优控制问题。结果的主要区别在于，伴随变量由类似于线性微分系统解的柯西公式的公式明确指定。在某些情况下，该公式表示无穷大的“标准”横向条件。而且，它可以替代它们。实例证明了建议的最大原理版本的优点。特别是，将其应用程序视为哈尔金（Halkin）的示例，拉姆齐（Ramsey）的最佳经济增长模型以及不可再生资源的最佳提取的基本模型。还介绍了对伴随变量获得的特征的经济解释。参考书目：62种。