发帖
雷达卡
摘要翻译：
在1983年的一篇论文中，Yannelis-Prabhakar依靠Michael的选择定理来保证抽象经济中存在最大元素和均衡的情况下的连续选择。在对尼古拉斯·扬内利斯的致敬中，我们将本文植根于扬内利斯1983年罗切斯特博士论文的第二章。论文，并确定它对仿紧性条件的开创性应用于Yannelis及其合著者当前和正在进行的工作，以及更广泛地应用于数理经济学。我们超越文献给出了上半连续局部和全局选择对应的一个充要条件，并给出了Yannelis感兴趣的五个领域的应用：Berge极大值定理，Gale-Nikaido-Debreu引理，Gale-McKenzie生存假设，Shafer非传递设定和Anderson-Khan-Rashid近似存在定理。最后一章与Yannelis论文的第六章产生了共鸣。
---
英文标题：
《The Yannelis-Prabhakar Theorem on Upper Semi-Continuous Selections in
Paracompact Spaces: Extensions and Applications》
---
作者：
M. Ali Khan, Metin Uyanik
---
最新提交年份：
2020
---
分类信息：
一级分类：Economics 经济学
二级分类：Theoretical Economics 理论经济学
分类描述：Includes theoretical contributions to Contract Theory, Decision Theory, Game Theory, General Equilibrium, Growth, Learning and Evolution, Macroeconomics, Market and Mechanism Design, and Social Choice.
包括对契约理论、决策理论、博弈论、一般均衡、增长、学习与进化、宏观经济学、市场与机制设计、社会选择的理论贡献。
--
一级分类：Mathematics 数学
二级分类：Functional Analysis 功能分析
分类描述：Banach spaces, function spaces, real functions, integral transforms, theory of distributions, measure theory
Banach空间，函数空间，实函数，积分变换，分布理论，测度理论
--
一级分类：Mathematics 数学
二级分类：General Topology 一般拓扑
分类描述：Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties
连续统理论，点集拓扑，代数结构空间，基础，维数理论，局部和全局性质
--
---
英文摘要：
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.
---
PDF链接：
https://arxiv.org/pdf/2006.16681
京公网安备 11010802022788号
