Mathematical Sciences: Cooperative Game Theory

数学科学：合作博弈论

• 批准号: 9100952
• 负责人: David Housman
• 金额: $ 7.95万
• 依托单位: Drew University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1991
• 资助国家: 美国
• 起止时间: 1991-03-15 至 1993-02-28
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9100952&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Cooperative; Game; Theory

A team of six students will be supported by this Research Experiences for Undergraduates award. They will work under the supervision of the principal investigator, assisted by several faculty members of the mathematics department. The program will run for eight weeks concentrating on problems of cooperative game theory. A well-trained mathematics student can understand the basic concepts with only a short period of preparation. Some preliminary reading will be assigned before the students arrive at the site. Several areas in which there is ample potential for the development of sound research projects will be presented to the students. They include value axiomatics, application of values to real life cost allocations, value computation of the nucleolus of a game and multi-alternative voting power indices and matroidal simple games. Ample computational support for the project will be provided by the college. Efforts will made to have students attend part of the annual international conference on game theory held at Ohio State University during the summer. Visits to the NSF center, the Advanced Research Institute for Discrete and Applied Mathematics at nearby Rutgers University are also expected. Final reports are expected at the end of the program. The most promising will be revised where necessary for journal submission.

一个由六名学生组成的团队将得到本研究的支持 本科生经验奖。 他们将在 主要研究者的监督，由几个 数学系的教员。 该计划将 连续八周专注于合作博弈问题 理论 一个训练有素的数学学生可以理解 只有很短的准备时间的基本概念。 一些 在学生到达之前，将布置初步的阅读 在现场。 有几个领域有充分的潜力， 健全的研究项目的发展将提交给 学生它们包括价值公理学，价值在 真实的寿命成本分配，核仁的价值计算 一个博弈与多个备选投票权指数和拟阵 简单的游戏该项目的充分计算支持将是 由学院提供。 将努力让学生参加年度会议的一部分， 博弈论国际会议在俄亥俄州召开 大学在夏天。 参观NSF中心， 离散与应用数学高级研究所 在附近的罗格斯大学也预计。 最后报告 预计在节目结束时。 最有希望的遗嘱 在必要时修改以提交期刊。