Mathematical Sciences: Workshop on Geometry, Topology and Markets

数学科学：几何、拓扑和市场研讨会

• 批准号: 9408798
• 负责人: Graciela Chichilnisky
• 金额: $ 0.9万
• 依托单位: Columbia University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 1994
• 资助国家: 美国
• 起止时间: 1994-05-01 至 1995-04-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9408798&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Workshop; Geometry; Topology

9408798 Chichilnisky Recent developments have deepened the connection between topology and the economics of markets. This workshop will allow the presentation and discussion of original mathematical results, which have or could lead to useful applications in the economics of markets. The first three days of the workshop will be devoted to a series of mini-courses in mathematics aimed at providing the basic background. The remaining time will allow the presentation of new theorems, along with their applications to the theory of markets. Topics discussed will include: new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and cooperative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial markets.

[408798]奇希尔尼斯基最近的发展加深了拓扑学和市场经济学之间的联系。本次研讨会将允许展示和讨论原始的数学结果，这些结果已经或可能导致在市场经济学中的有用应用。研讨会的前三天将专门讨论一系列旨在提供基本背景的数学迷你课程。剩下的时间将允许提出新的定理，以及它们在市场理论中的应用。讨论的主题将包括：存在的新拓扑不变量，市场均衡的表征和计算及其与社会选择和其他形式的资源分配的关系，竞争和合作系统，代数几何和收益增加的市场，计算复杂性，随机过程和金融市场。