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A note on the non-convexity problem in some shopping-time and human-capital models

机译:关于某些购物时间和人力资源模型中的非凸性问题的注释

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摘要

Several works in the shopping-time and in the human-capital literature, due to the non-concavity of the underlying Hamiltonian, use first-order conditions in dynamic optimization to characterize necessity, but not sufficiency, in intertemporal problems. This note selects some works in these two areas and shows that optimality can be characterized, and some results quantitatively improved, by means of an application of Arrow's [Arrow, K. J., 1968. Applications of control theory to economic growth. In: Dantzig, G.B., Veinott Jr., A.F. (Eds.), Mathematics of the Decisions Sciences. American Mathematical Society, Providence, RI] sufficiency theorem.
机译:由于底层哈密顿量的不凹性,购物时间和人力资本文献中的几篇作品在动态优化中使用一阶条件来描述跨期问题的必要性,但不能满足需求。本说明选择了这两个领域的一些工作,并表明可以通过应用Arrow的[Arrow,K. J.,1968.控制理论在经济增长中的应用]来表征最优性,并定量地改善某些结果。在:Dantzig,G.B.,Veinott Jr.,A.F。(编),决策科学数学。美国数学协会,普罗维登斯,RI]充分性定理。

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