论文标题
paracompact空间中的上半连续选择的yannelis-prabhakar定理：扩展和应用
The Yannelis-Prabhakar Theorem on Upper Semi-Continuous Selections in Paracompact Spaces: Extensions and Applications
论文作者
论文摘要
在1983年的一篇论文中，Yannelis-Prabhakar依靠Michael的选择定理来保证在抽象经济体中最大元素和平衡的背景下进行连续的选择。在对尼古拉斯·伊纳利斯（Nicholas Yannelis）的致敬中，我们将本文扎根于Yannelis的1983年Rochester Ph.D.的第二章。论文，并确定其在Yannelis及其共同作者的当前和正在进行的工作中以及更广泛地对数学经济学的当前和正在进行的工作中的开创性应用。 We move beyond the literature to provide a necessary and sufficient condition for upper semi-continuous local and global selections of correspondences, and to provide application to five domains of Yannelis' interests: Berge's maximum theorem, the Gale-Nikaido-Debreu lemma, the Gale-McKenzie survival assumption, Shafer's non-transitive setting, and the Anderson-Khan-Rashid approximate existence theorem.最后一个引起了Yannelis论文第六章的共鸣。
In a 1983 paper, Yannelis-Prabhakar rely on Michael's selection theorem to guarantee a continuous selection in the context of the existence of maximal elements and equilibria in abstract economies. In this tribute to Nicholas Yannelis, we root this paper in Chapter II of Yannelis' 1983 Rochester Ph.D. dissertation, and identify its pioneering application of the paracompactness condition to current and ongoing work of Yannelis and his co-authors, and to mathematical economics more generally. We move beyond the literature to provide a necessary and sufficient condition for upper semi-continuous local and global selections of correspondences, and to provide application to five domains of Yannelis' interests: Berge's maximum theorem, the Gale-Nikaido-Debreu lemma, the Gale-McKenzie survival assumption, Shafer's non-transitive setting, and the Anderson-Khan-Rashid approximate existence theorem. The last resonates with Chapter VI of the Yannelis' dissertation.
